diff --git a/assignment5.Rmd b/assignment5.Rmd index 288bcb3..06b0d5c 100644 --- a/assignment5.Rmd +++ b/assignment5.Rmd @@ -16,7 +16,7 @@ The data you will be using comes from the Assistments online intelligent tutorin ## Start by uploading the data ```{r} -D1 <- +D1 <- read.csv("Assistments-confidence.csv", header = TRUE) ``` @@ -32,13 +32,14 @@ ggpairs(D1, 2:8, progress = FALSE) #ggpairs() draws a correlation plot between a ggcorr(D1[,-1], method = c("everything", "pearson")) #ggcorr() doesn't have an explicit option to choose variables so we need to use matrix notation to drop the id variable. We then need to choose a "method" which determines how to treat missing values (here we choose to keep everything, and then which kind of correlation calculation to use, here we are using Pearson correlation, the other options are "kendall" or "spearman") -#Study your correlogram images and save them, you will need them later. Take note of what is strongly related to the outcome variable of interest, mean_correct. +#Study your correlogram images and save them, you will need them later. Take note of what is strongly related to the outcome variable of interest, mean_correct. +#mean_correct and mean_hint are strongly correlated to mean_correct. The percentage of problems a student has answered correctly prior to this session predicts the correctness of students' first attempt in the current session. Students who get the first attempt in the current session correct are less likely to ask for hints. ``` ## Create a new data frame with the mean_correct variable removed, we want to keep that variable intact. The other variables will be included in our PCA. ```{r} -D2 <- +D2 <- D1[,-5] ``` @@ -67,21 +68,25 @@ plot(pca, type = "lines") ``` ## Decide which components you would drop and remove them from your data set. +```{r} +#I'll drop the last two components because the first five of the components explain 89% of the variance of the original data. +``` ## Part II ```{r} #Now, create a data frame of the transformed data from your pca. - -D3 <- +str(pca) +pca$x +D3 <- cbind(D2, pca$x[,1:5]) #Attach the variable "mean_correct" from your original data frame to D3. - - +D3$"mean_correct" <- D1$mean_correct #Now re-run your correlation plots between the transformed data and mean_correct. If you had dropped some components would you have lost important infomation about mean_correct? - - +library(ggplot2) +library(GGally) +ggpairs(D3, 8:13, progress = FALSE) ``` ## Now print out the loadings for the components you generated: @@ -94,6 +99,7 @@ pca$rotation loadings <- abs(pca$rotation) #abs() will make all eigenvectors positive #Now examine your components and try to come up with substantive descriptions of what some might represent? +#By looking at the second component, it is positively related with prior_prob_count, prior_percent_correct, and mean_confidence. It is negatively related with problems_attempted, mean_hint, and mean_attempt. I think this suggest that students prior performance has an impact on their performance in the current session. The more problems they answered and the higher percentage of correctness they got prior to the current session, the more confident students are in the current. They are able to get problems correct with fewer attempt and hints in the current session. #You can generate a biplot to help you, though these can be a bit confusing. They plot the transformed data by the first two components. Therefore, the axes represent the direction of maximum variance accounted for. Then mapped onto this point cloud are the original directions of the variables, depicted as red arrows. It is supposed to provide a visualization of which variables "go together". Variables that possibly represent the same underlying construct point in the same direction. @@ -102,10 +108,34 @@ biplot(pca) ``` # Part III -Also in this repository is a data set collected from TC students (tc-program-combos.csv) that shows how many students thought that a TC program was related to andother TC program. Students were shown three program names at a time and were asked which two of the three were most similar. Use PCA to look for components that represent related programs. Explain why you think there are relationships between these programs. +Also in this repository is a data set collected from TC students (tc-program-combos.csv) that shows how many students thought that a TC program was related to another TC program. Students were shown three program names at a time and were asked which two of the three were most similar. Use PCA to look for components that represent related programs. Explain why you think there are relationships between these programs. ```{r} - +library(tidyverse) +library(ggplot2) +library(GGally) +TC <- read.csv("tc-program-combos.csv", header = TRUE) +TC1 <- data.frame(TC[,-1], row.names=TC[,1]) + +#pca +pca_tc <- prcomp(TC1, scale. = TRUE) +summary(pca_tc) +plot(pca_tc, type = "l") +biplot(pca_tc, cex = 0.5, expand = 1.5) +biplot(pca_tc, cex = 0.5, expand = 1.5, xlim=c(-0.2, 0.2), ylim=c(0.0, 0.4)) +biplot(pca_tc, cex = 0.5, expand = 1.5, xlim=c(0.0, 0.4), ylim=c(-0.2, 0.0)) + +#loadings +pca_tc$rotation +loadings <- abs(pca_tc$rotation) + +#transform data from pca_tc +TC2 <- cbind(TC1, pca_tc$x[,1:23]) +ggpairs(TC2, columns = c("Adult.Education","PC1","PC2","PC3","PC4","PC5"), + progress = FALSE) + +#The first few principal components suggest two main groups of related programs. The first group is programs that studies humans including both human's physical and mental aspects. For example, the second component is positively correlated with programs such as Physiology, Behavior Analysis, Clinical Psychology, Cognitive Science, and Anthropology; they vary together. The second group is programs that are about education in general such as Adult Education, Linguistics, Teaching English, College Advising, and Art Education. +#The biplot of pca_tc support the two trends. Programs that studies human beings roughly go to the same direction (Health education, Nursing, Counseling psychology, etc.), whereas programs that are about education in general roughly do to the same direction (Urban education, Early childhood education, Literacy, Adult education, and Higher and postsecondary education). ``` diff --git a/assignment5.html b/assignment5.html new file mode 100644 index 0000000..dec2556 --- /dev/null +++ b/assignment5.html @@ -0,0 +1,3618 @@ + + + + + + + + + + + + + +Principle Component Aanalysis + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ + + + + + + +
+

Data

+

The data you will be using comes from the Assistments online intelligent tutoring system (https://www.assistments.org/). It describes students working through online math problems. Each student has the following data associated with them:

+ +
+
+

Start by uploading the data

+
D1 <- read.csv("Assistments-confidence.csv", header = TRUE)
+
+
+

Create a correlation matrix of the relationships between the variables, including correlation coefficients for each pair of variables/features.

+
#You can install the corrplot package to plot some pretty correlation matrices (sometimes called correlograms)
+
+library(ggplot2)
+library(GGally)
+
## Registered S3 method overwritten by 'GGally':
+##   method from   
+##   +.gg   ggplot2
+
ggpairs(D1, 2:8, progress = FALSE) #ggpairs() draws a correlation plot between all the columns you identify by number (second option, you don't need the first column as it is the student ID) and progress = FALSE stops a progress bar appearing as it renders your plot
+

+
ggcorr(D1[,-1], method = c("everything", "pearson")) #ggcorr() doesn't have an explicit option to choose variables so we need to use matrix notation to drop the id variable. We then need to choose a "method" which determines how to treat missing values (here we choose to keep everything, and then which kind of correlation calculation to use, here we are using Pearson correlation, the other options are "kendall" or "spearman")
+

+
#Study your correlogram images and save them, you will need them later. Take note of what is strongly related to the outcome variable of interest, mean_correct.
+#mean_correct and mean_hint are strongly correlated to mean_correct. The percentage of problems a student has answered correctly prior to this session predicts the correctness of students' first attempt in the current session. Students who get the first attempt in the current session correct are less likely to ask for hints.
+
+
+

Create a new data frame with the mean_correct variable removed, we want to keep that variable intact. The other variables will be included in our PCA.

+
D2 <- D1[,-5]
+
+
+

Now run the PCA on the new data frame

+
pca <- prcomp(D2, scale. = TRUE)
+
+
+

Although princomp does not generate the eigenvalues directly for us, we can print a list of the standard deviation of the variance accounted for by each component.

+
pca$sdev
+
## [1] 1.4502917 1.1428589 1.0462819 0.9976299 0.8557032 0.7385185 0.4721430
+
#To convert this into variance accounted for we can square it, these numbers are proportional to the eigenvalue
+
+pca$sdev^2
+
## [1] 2.1033459 1.3061264 1.0947058 0.9952654 0.7322279 0.5454096 0.2229190
+
#A summary of our pca will give us the proportion of variance accounted for by each component
+
+summary(pca)
+
## Importance of components:
+##                           PC1    PC2    PC3    PC4    PC5     PC6     PC7
+## Standard deviation     1.4503 1.1429 1.0463 0.9976 0.8557 0.73852 0.47214
+## Proportion of Variance 0.3005 0.1866 0.1564 0.1422 0.1046 0.07792 0.03185
+## Cumulative Proportion  0.3005 0.4871 0.6434 0.7856 0.8902 0.96815 1.00000
+
#We can look at this to get an idea of which components we should keep and which we should drop
+
+plot(pca, type = "lines")
+

+
+
+

Decide which components you would drop and remove them from your data set.

+
#I'll drop the last two components because the first five of the components explain 89% of the variance of the original data.
+
+
+

Part II

+
#Now, create a data frame of the transformed data from your pca.
+str(pca)
+
## List of 5
+##  $ sdev    : num [1:7] 1.45 1.143 1.046 0.998 0.856 ...
+##  $ rotation: num [1:7, 1:7] 0.582 -0.5 0.103 -0.248 -0.471 ...
+##   ..- attr(*, "dimnames")=List of 2
+##   .. ..$ : chr [1:7] "id" "prior_prob_count" "prior_percent_correct" "problems_attempted" ...
+##   .. ..$ : chr [1:7] "PC1" "PC2" "PC3" "PC4" ...
+##  $ center  : Named num [1:7] 2.35e+05 2.66e+02 6.95e-01 9.75 5.63e-01 ...
+##   ..- attr(*, "names")= chr [1:7] "id" "prior_prob_count" "prior_percent_correct" "problems_attempted" ...
+##  $ scale   : Named num [1:7] 1.55e+04 3.19e+02 1.36e-01 9.84 8.07e-01 ...
+##   ..- attr(*, "names")= chr [1:7] "id" "prior_prob_count" "prior_percent_correct" "problems_attempted" ...
+##  $ x       : num [1:342, 1:7] -2.31 -4.77 -4.44 -3.81 -5.02 ...
+##   ..- attr(*, "dimnames")=List of 2
+##   .. ..$ : NULL
+##   .. ..$ : chr [1:7] "PC1" "PC2" "PC3" "PC4" ...
+##  - attr(*, "class")= chr "prcomp"
+
pca$x
+
##                PC1          PC2          PC3          PC4          PC5
+##   [1,] -2.30616442  2.786911335 -0.325549561  0.263528489  0.094533433
+##   [2,] -4.76665364  1.561609134  1.240408446  0.909579260 -0.679373877
+##   [3,] -4.44304196  2.143963328 -0.233662648  0.565054726  0.030617926
+##   [4,] -3.80821746  2.693067105  0.629066160  0.737545364 -0.422673798
+##   [5,] -5.02464093  1.565384826 -0.831062279  1.561688025  0.496988405
+##   [6,] -4.87538155  2.601004349 -0.352467361 -0.073722369 -0.611790550
+##   [7,] -4.29756022  0.429482229 -1.202155056  1.201320777  0.015196610
+##   [8,] -5.39863518 -0.318996906 -1.174216454  0.189852644  0.701730669
+##   [9,] -4.04896156  0.250064068 -0.069760427  0.129464665 -0.496445115
+##  [10,] -5.32153772  1.509611805 -0.684932333 -0.103668470 -0.497659015
+##  [11,] -4.51557739  1.770200990 -0.018925201  1.535887130 -0.134491593
+##  [12,] -4.87490608  1.331211177  0.418257483  0.297216005 -0.818618663
+##  [13,] -4.01356246  3.246903075  0.161031048 -0.572866590 -0.353108788
+##  [14,] -4.73580118  1.875426621 -0.066004309  0.231685698 -0.201043126
+##  [15,] -4.95908671  1.209249436 -0.038225894  1.429733633 -0.490998668
+##  [16,] -4.85940784 -0.676205038 -1.188761764  0.757789132 -0.760870999
+##  [17,] -7.96019777 -4.455216776 -1.959747004 -4.176267695  7.213690603
+##  [18,] -1.37041120  2.141222190 -0.912468185 -0.034760827 -0.022911589
+##  [19,] -1.50032241  2.521913839  1.128721264  2.326259048  0.746217654
+##  [20,] -1.39077392  2.865549430  0.610681218  0.303342227  0.264127891
+##  [21,] -1.71554938  3.370685247  0.215769814 -0.692910302 -0.088587250
+##  [22,] -1.18296258  1.481922956  0.027190465 -0.444059623 -0.028081525
+##  [23,] -0.11270659  1.689979735 -0.088785131  1.401947735 -0.017216600
+##  [24,] -2.03293772  1.976188221  0.829155488  1.648632530  0.467687303
+##  [25,] -0.91471840  2.394857395 -0.126850202 -0.556557020 -0.093833665
+##  [26,] -2.32488627  1.834839129 -0.184685820 -0.466278368  0.114657282
+##  [27,] -1.61023661  1.588158982 -0.419416050  0.109473429 -0.203660538
+##  [28,] -1.31432519  2.727429221  0.630621626  0.578616036  0.312103499
+##  [29,] -1.62390078  2.560263562  0.261396901  0.359118416 -0.013226205
+##  [30,]  0.30650843  1.324944527  0.700532059 -0.092086172  0.485968537
+##  [31,] -0.08115666  0.643664588  0.354676791  0.049475359 -0.148361425
+##  [32,] -0.91310037 -0.171504795 -0.448902076  1.108990048  0.425646617
+##  [33,] -0.09643709  0.591268314  0.429169724  0.389637111  0.442079152
+##  [34,]  0.12161978  1.242843307 -0.076926307 -1.266533598 -0.336926123
+##  [35,]  0.18726345  0.818116443  0.881647872  0.950548706  0.381105316
+##  [36,]  0.14832977  1.204815833  0.455199903 -0.624086574  0.295257449
+##  [37,]  0.35278855  1.346718527  1.098062139  0.140979456  0.690434292
+##  [38,] -0.51291391  0.251069417  1.006009491 -0.166416621  0.607604170
+##  [39,] -1.04885045 -0.046454524 -1.871035252 -1.208187026 -0.590564688
+##  [40,]  0.42373845  1.117246620  0.347111422  1.216042743  0.289519722
+##  [41,]  0.07672395  0.806593790  0.148676772  0.531394667  0.953439545
+##  [42,]  0.24126901  1.203686849  1.209256839 -0.071668747  0.382199787
+##  [43,] -1.49551578 -0.609417805  1.590546084 -1.352099003 -1.442827502
+##  [44,] -2.63618761 -1.573844079 -0.604248108 -1.297810632 -2.040093521
+##  [45,] -2.40745348 -2.110454148 -0.354820925  0.919961003 -1.275810310
+##  [46,] -0.85802113 -0.274838930  1.434212812 -0.586556720 -0.571143997
+##  [47,]  0.30650218  1.420217040  0.625603117 -0.475812114  0.400776003
+##  [48,]  0.11307626  1.159954821  0.247652875 -0.600945935  0.206567362
+##  [49,] -1.15816842 -0.320405037  0.137028519 -0.462803869 -0.318959696
+##  [50,] -0.27720780  0.809185649 -0.605659876 -1.226269800 -0.384466417
+##  [51,]  0.20115452  1.447970312 -1.000273329 -1.487114543 -0.278137696
+##  [52,] -2.26300915 -1.326819782 -0.700156252 -0.308274954 -0.248790065
+##  [53,] -0.57238529 -0.278822765  2.478376390  0.327681836 -1.040534158
+##  [54,] -0.69715447 -0.074477835  0.396342644 -0.596972204 -0.218334534
+##  [55,] -0.54999919 -0.235762912  0.916297109  1.458807463  1.092335885
+##  [56,] -0.68693528  0.420336189  0.285803758 -1.858975739 -0.444864902
+##  [57,]  0.18549867  0.557712220  0.555013264  1.432543141  1.263890317
+##  [58,] -0.28564277  0.217874456  0.900060210  0.201555866 -0.019083787
+##  [59,] -0.14388747  0.624426410  0.810147762  0.222622033  0.063406618
+##  [60,]  0.04495435  1.194500943  0.255116954 -1.009670994  0.144530383
+##  [61,] -1.46366786 -1.319364501  0.207799631  0.282109863 -1.294426916
+##  [62,]  0.09488828  0.510433000  1.314597300  1.544291721  0.487257813
+##  [63,] -0.69687041  0.146558028 -1.415914227 -0.542052733 -0.502338965
+##  [64,] -0.43742695  0.004384985  0.288715836 -0.666294059  0.191533381
+##  [65,]  0.31228855  1.196711215  0.524255656  0.103394585  0.439658408
+##  [66,]  0.34503507  1.073498385 -1.227874156  0.689814679 -0.537687893
+##  [67,] -1.27055351 -0.680015684 -0.425603075  0.965860773  0.615175590
+##  [68,] -2.64573224 -2.319278537  1.105136518  0.144797043  1.208060919
+##  [69,]  0.31053741  1.323116877  0.163503404 -0.122986733  0.411679821
+##  [70,] -0.52749528  0.382727739  0.267970177 -1.117670171 -0.096856424
+##  [71,] -0.58913654  0.256593276  0.667900594 -0.472777049 -0.053862122
+##  [72,] -1.74768049 -1.666061950  2.439444903 -0.574816199 -2.444341558
+##  [73,] -1.21339299 -1.585456139  2.763994184  1.778531494 -0.888397977
+##  [74,] -0.24288019  0.601461898  0.346358955 -0.566469248  0.738700169
+##  [75,] -0.19205941  0.312012653 -0.896830823  0.636430068  0.184250378
+##  [76,]  0.47285287  1.897476723 -0.459167902 -1.456533144 -0.499739309
+##  [77,] -1.91269608 -1.448609379  2.270368627  0.358280662 -0.972007025
+##  [78,] -0.85193226 -0.606216763  1.632345628  0.798807660 -0.537934350
+##  [79,]  0.00477652  0.618197922  1.847387354  0.571167764  0.518513409
+##  [80,] -1.15679295 -0.520861222  0.862111769 -1.204091519 -1.256213294
+##  [81,] -0.01684056  1.016469221 -0.037559428 -1.199348110 -0.641692238
+##  [82,]  0.06177169  0.517412236  0.914478563  1.528872781  0.579648590
+##  [83,]  0.24578074  1.452624203  0.047972757 -1.026408683  0.073071600
+##  [84,] -0.14218169  0.236612218  0.125158350  1.315450841  1.508906225
+##  [85,] -0.84607451 -0.080230576  0.282995956 -0.414644769  1.274440949
+##  [86,] -1.04245956  0.174377916 -2.179913645 -0.373589493 -0.849458521
+##  [87,]  0.29185936  1.034703761  0.658684160  0.839806091  0.594404805
+##  [88,] -0.71402303 -0.605429620  2.045853477  1.125134285 -0.815963744
+##  [89,] -2.14709492 -1.269259278 -0.635685377 -0.267040134 -0.607064207
+##  [90,] -0.94238401  0.085641979 -0.878574989 -0.983571611 -0.122538488
+##  [91,]  0.29435430  1.565760660 -0.075463200 -1.389895459  0.054757298
+##  [92,] -0.23115560  0.214697574  1.655240451  0.450275425 -0.332280606
+##  [93,] -1.67973911 -1.363179847  1.819764142 -0.515791349 -1.877017713
+##  [94,] -0.58511193  1.669052974  0.010495738  0.988435137  0.203128371
+##  [95,] -0.74067945  1.899988708  0.299360943 -0.063893005 -0.155474311
+##  [96,] -1.71874219 -2.638323081 -2.817742166  0.536023865  0.563580971
+##  [97,] -0.44643899  0.185077787 -0.954051257 -0.939628619 -0.105225539
+##  [98,] -0.06253369  0.693176854  0.680407920 -0.398296191  0.270345893
+##  [99,]  0.18320366  1.307495641 -0.190936068 -0.551105905  0.016744827
+## [100,] -1.97421369 -1.488551759  1.450202031  0.039902997 -1.133075732
+## [101,]  0.13169486  0.676462493 -0.654286098  1.089816107  0.045551076
+## [102,] -0.19167476  1.151425952 -0.259605419 -2.017094478 -0.343217460
+## [103,]  0.08582546  1.167601433  0.305274849 -0.374578296  0.241794179
+## [104,] -0.83581922  0.419973633 -0.658185034 -0.432324059 -0.383373705
+## [105,]  0.15630963  0.960300057 -0.613566891  0.159456892 -0.064078303
+## [106,] -0.17461001  0.426302104 -0.638635959  0.046255373  0.994197719
+## [107,]  0.11561636  1.004864027  1.222734353  0.391060497  0.773685680
+## [108,]  0.21911432  0.920784524  0.137039283  0.934815418  0.365003245
+## [109,] -0.23478029  0.898358864  0.348955411 -1.302180857 -0.692277723
+## [110,] -0.36884531 -0.312392992  0.740413144  1.987498739  1.115423096
+## [111,] -1.32270942 -0.023971878 -0.181171022 -1.923706128 -1.065376068
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+## [292,]  0.464695673 -0.2258333062
+## [293,]  0.380617955 -0.0928039902
+## [294,] -0.444974712 -0.1278122162
+## [295,]  0.149251163  0.0980313871
+## [296,] -0.095283428  0.2011271182
+## [297,] -0.071620985  0.1260169838
+## [298,] -0.162123625  0.0855716221
+## [299,]  0.180218739  0.0514514512
+## [300,] -0.662614587  0.2584756157
+## [301,] -0.017844570  0.1102791478
+## [302,] -0.635881336  0.1882069588
+## [303,] -0.493786324  0.2154282798
+## [304,]  0.257343522  0.0309606877
+## [305,] -0.293171664  0.0341720133
+## [306,] -0.673318044  0.2743819219
+## [307,] -0.177902874  0.2821013049
+## [308,]  0.038723633  0.1585862854
+## [309,] -0.405998495  0.3163361482
+## [310,] -0.747549147  0.3900933600
+## [311,]  0.089661898  0.0054730212
+## [312,]  1.373274914 -0.1042622560
+## [313,] -0.092219227  0.3570555693
+## [314,]  0.273027580 -0.0006075942
+## [315,]  0.808557189 -0.1563242512
+## [316,]  1.012457404 -0.2034600899
+## [317,]  1.518445190  0.3990756575
+## [318,]  1.335583842  0.1227103267
+## [319,]  0.907314227  0.1255635012
+## [320,]  0.121793666  0.1018143042
+## [321,]  0.325273911 -0.0502406831
+## [322,] -0.760487871  0.5204349606
+## [323,] -0.489773794  0.3267120261
+## [324,]  0.543890262 -0.0849526978
+## [325,]  1.335205654 -0.2650345750
+## [326,] -0.244077032  0.2002451410
+## [327,]  1.558284584  0.0993794759
+## [328,]  0.731277219 -0.0361669707
+## [329,]  1.835344775  0.1650259366
+## [330,]  0.481370019  0.1720691638
+## [331,]  0.065968469  0.5239053641
+## [332,]  0.550684266  0.8481288782
+## [333,]  0.667518964  0.2909773956
+## [334,] -0.371211672  0.3819973020
+## [335,]  0.552841797  0.0429147982
+## [336,]  1.110235992 -0.1592740314
+## [337,] -0.523754213  0.5151798025
+## [338,] -2.036076649  0.6702930251
+## [339,]  0.039358607  0.2805329124
+## [340,]  0.711687996  0.4036715285
+## [341,]  1.471588414  0.7687201572
+## [342,]  0.845777515  0.1657974636
+
D3 <- cbind(D2, pca$x[,1:5])
+
+#Attach the variable "mean_correct" from your original data frame to D3.
+D3$"mean_correct" <- D1$mean_correct
+
+#Now re-run your correlation plots between the transformed data and mean_correct. If you had dropped some components would you have lost important infomation about mean_correct?
+library(ggplot2)
+library(GGally)
+ggpairs(D3, 8:13, progress = FALSE)
+

## Now print out the loadings for the components you generated:

+
pca$rotation
+
##                               PC1        PC2          PC3         PC4
+## id                     0.58205514 -0.3385544  0.062469916 -0.10516164
+## prior_prob_count      -0.50027988  0.5120349  0.097545822  0.10595670
+## prior_percent_correct  0.10259004  0.2656193  0.781280744 -0.28670059
+## problems_attempted    -0.24807198 -0.4255122  0.527707102 -0.08843549
+## mean_hint             -0.47081307 -0.3669473 -0.115313460 -0.02244680
+## mean_attempt          -0.34179563 -0.4434016 -0.009533538 -0.27383776
+## mean_confidence       -0.01944837  0.2008274 -0.290378811 -0.90122426
+##                               PC5         PC6          PC7
+## id                    -0.00563084  0.10995181  0.720770551
+## prior_prob_count      -0.02074912 -0.12780116  0.670846181
+## prior_percent_correct  0.29982995  0.34978664 -0.118642884
+## problems_attempted    -0.58767798 -0.35448987 -0.008692926
+## mean_hint             -0.10797157  0.78055600  0.094647492
+## mean_attempt           0.70023474 -0.33740750  0.085558668
+## mean_confidence       -0.24957526 -0.02126521  0.005007913
+
#Examine the eigenvectors, notice that they are a little difficult to interpret. It is much easier to make sense of them if we make them proportional within each component
+
+loadings <- abs(pca$rotation) #abs() will make all eigenvectors positive
+
+#Now examine your components and try to come up with substantive descriptions of what some might represent?
+#By looking at the second component, it is positively related with prior_prob_count, prior_percent_correct, and mean_confidence. It is negatively related with problems_attempted, mean_hint, and mean_attempt. I think this suggest that students prior performance has an impact on their performance in the current session. The more problems they answered and the higher percentage of correctness they got prior to the current session, the more confident students are in the current. They are able to get problems correct with fewer attempt and hints in the current session.
+
+#You can generate a biplot to help you, though these can be a bit confusing. They plot the transformed data by the first two components. Therefore, the axes represent the direction of maximum variance accounted for. Then mapped onto this point cloud are the original directions of the variables, depicted as red arrows. It is supposed to provide a visualization of which variables "go together". Variables that possibly represent the same underlying construct point in the same direction.  
+
+biplot(pca)
+

# Part III
+Also in this repository is a data set collected from TC students (tc-program-combos.csv) that shows how many students thought that a TC program was related to another TC program. Students were shown three program names at a time and were asked which two of the three were most similar. Use PCA to look for components that represent related programs. Explain why you think there are relationships between these programs.

+
library(tidyverse)
+
## ── Attaching packages ──────────────────────────────────── tidyverse 1.3.0 ──
+
## ✓ tibble  3.0.3     ✓ dplyr   1.0.2
+## ✓ tidyr   1.1.2     ✓ stringr 1.4.0
+## ✓ readr   1.3.1     ✓ forcats 0.5.0
+## ✓ purrr   0.3.4
+
## ── Conflicts ─────────────────────────────────────── tidyverse_conflicts() ──
+## x dplyr::filter() masks stats::filter()
+## x dplyr::lag()    masks stats::lag()
+
library(ggplot2)
+library(GGally)
+TC <- read.csv("tc-program-combos.csv", header = TRUE)
+TC1 <- data.frame(TC[,-1], row.names=TC[,1])
+
+#pca
+pca_tc <- prcomp(TC1, scale. = TRUE)
+summary(pca_tc)
+
## Importance of components:
+##                           PC1     PC2     PC3     PC4     PC5     PC6     PC7
+## Standard deviation     2.6670 2.33303 2.03824 1.80893 1.71451 1.60412 1.58799
+## Proportion of Variance 0.1062 0.08124 0.06201 0.04884 0.04387 0.03841 0.03764
+## Cumulative Proportion  0.1062 0.18740 0.24941 0.29825 0.34212 0.38053 0.41816
+##                            PC8    PC9    PC10    PC11    PC12   PC13    PC14
+## Standard deviation     1.49222 1.4642 1.39139 1.33521 1.32517 1.3121 1.26312
+## Proportion of Variance 0.03323 0.0320 0.02889 0.02661 0.02621 0.0257 0.02381
+## Cumulative Proportion  0.45140 0.4834 0.51229 0.53890 0.56511 0.5908 0.61462
+##                           PC15    PC16    PC17    PC18   PC19   PC20   PC21
+## Standard deviation     1.25366 1.22339 1.21896 1.18649 1.1313 1.1281 1.1043
+## Proportion of Variance 0.02346 0.02234 0.02218 0.02101 0.0191 0.0190 0.0182
+## Cumulative Proportion  0.63808 0.66042 0.68260 0.70361 0.7227 0.7417 0.7599
+##                           PC22    PC23    PC24    PC25    PC26    PC27    PC28
+## Standard deviation     1.06319 1.01168 0.99666 0.96528 0.95049 0.93257 0.90508
+## Proportion of Variance 0.01687 0.01528 0.01483 0.01391 0.01348 0.01298 0.01223
+## Cumulative Proportion  0.77678 0.79205 0.80688 0.82079 0.83427 0.84725 0.85948
+##                           PC29   PC30    PC31    PC32    PC33    PC34   PC35
+## Standard deviation     0.85161 0.8348 0.81880 0.78539 0.76079 0.73351 0.7228
+## Proportion of Variance 0.01082 0.0104 0.01001 0.00921 0.00864 0.00803 0.0078
+## Cumulative Proportion  0.87030 0.8807 0.89071 0.89992 0.90856 0.91659 0.9244
+##                           PC36    PC37    PC38    PC39    PC40    PC41    PC42
+## Standard deviation     0.67319 0.66343 0.64839 0.62449 0.60331 0.56847 0.55769
+## Proportion of Variance 0.00676 0.00657 0.00627 0.00582 0.00543 0.00482 0.00464
+## Cumulative Proportion  0.93115 0.93772 0.94399 0.94981 0.95524 0.96007 0.96471
+##                           PC43    PC44    PC45    PC46   PC47    PC48    PC49
+## Standard deviation     0.51032 0.49443 0.47128 0.44551 0.4329 0.41344 0.37260
+## Proportion of Variance 0.00389 0.00365 0.00332 0.00296 0.0028 0.00255 0.00207
+## Cumulative Proportion  0.96860 0.97224 0.97556 0.97852 0.9813 0.98387 0.98594
+##                           PC50    PC51    PC52    PC53    PC54    PC55    PC56
+## Standard deviation     0.36654 0.35016 0.33278 0.32800 0.30414 0.28040 0.27067
+## Proportion of Variance 0.00201 0.00183 0.00165 0.00161 0.00138 0.00117 0.00109
+## Cumulative Proportion  0.98795 0.98978 0.99143 0.99304 0.99442 0.99559 0.99668
+##                           PC57    PC58    PC59    PC60    PC61   PC62    PC63
+## Standard deviation     0.23730 0.21156 0.17617 0.16542 0.14778 0.1420 0.11093
+## Proportion of Variance 0.00084 0.00067 0.00046 0.00041 0.00033 0.0003 0.00018
+## Cumulative Proportion  0.99752 0.99819 0.99866 0.99906 0.99939 0.9997 0.99987
+##                           PC64    PC65    PC66    PC67
+## Standard deviation     0.07055 0.04430 0.03589 0.01241
+## Proportion of Variance 0.00007 0.00003 0.00002 0.00000
+## Cumulative Proportion  0.99995 0.99998 1.00000 1.00000
+
plot(pca_tc, type = "l")
+

+
biplot(pca_tc, cex = 0.5, expand = 1.5)
+

+
biplot(pca_tc, cex = 0.5, expand = 1.5, xlim=c(-0.2, 0.2), ylim=c(0.0, 0.4))
+

+
biplot(pca_tc, cex = 0.5, expand = 1.5, xlim=c(0.0, 0.4), ylim=c(-0.2, 0.0))
+

+
#loadings
+pca_tc$rotation
+
##                                                        PC1          PC2
+## Adult.Education                                0.195244807 -0.081173179
+## Anthropology                                   0.041618444  0.067513716
+## Social.Studies                                 0.118026735 -0.009640857
+## Physiology                                    -0.108722059  0.244332139
+## Behavior.Analysis                              0.073664107  0.212642074
+## Linguistics                                    0.031501159 -0.056628665
+## Art.Education                                 -0.100850194 -0.008331969
+## Teaching.English                               0.096371622 -0.077917205
+## Arts.Administration                            0.219265500 -0.007609962
+## Bilingual.Bicultural.Education                 0.187592041 -0.089462221
+## Clinical.Psychology                            0.137578897  0.253057084
+## Cognitive.Science                             -0.003609338  0.139954400
+## College.Advising                               0.136854695 -0.070391895
+## Communication.Sciences.and.Disorders           0.076817580  0.152942395
+## Cooperation.and.Conflict.Resolution            0.204246568  0.074014973
+## Creative.Technologies                         -0.033511014 -0.038351713
+## Curriculum.and.Teaching                        0.045456979 -0.146083471
+## Dance.Education                               -0.017280406  0.033201946
+## Deaf.and.Hard.of.Hearing                      -0.010313639  0.191270009
+## Design.and.Development.of.Digital.Games       -0.031771585 -0.071519524
+## Developmental.Psychology                       0.082288337  0.152941409
+## Diabetes.Education                            -0.018135541  0.190943934
+## Early.Childhood.Education                      0.108728104 -0.019690381
+## Early.Childhood.Special.Education              0.011939402  0.141416924
+## Economics.and.Education                        0.230904557 -0.044537632
+## Education.Technology                           0.080546916 -0.069391374
+## Education.Leadership                           0.164853826 -0.020157092
+## Education.Policy                               0.220862047 -0.049289447
+## Inclusive.Education                            0.112412104  0.078743538
+## English.Education                              0.058102626 -0.039814683
+## Change.Leadership                              0.276968484  0.025307479
+## Nursing                                       -0.004426176  0.212127683
+## Gifted.Education                               0.061050472  0.036282821
+## Health.Education                              -0.070745806  0.221286588
+## Higher.and.Postsecondary.Education             0.049622510 -0.088269322
+## History                                        0.185879418  0.005513178
+## Instructional.Technology.and.Media             0.015354039  0.037814598
+## Intellectual.Disability.Autism                -0.038023570  0.055764264
+## International.and.Comparative.Education        0.148554380 -0.136598623
+## Kinesiology                                   -0.074076646  0.251474186
+## Learning.Analytics                             0.050461967  0.023262241
+## Literacy                                       0.102057802 -0.055471015
+## Mathematics                                   -0.022958610  0.019090802
+## Measurement..Evaluation.and.Statistics         0.053776442  0.025781843
+## Motor.Learning.and.Control                    -0.067993850  0.066549542
+## Movement.Science                              -0.094071255  0.155210865
+## Music                                          0.019739178 -0.038477774
+## Neuroscience                                   0.050088590  0.252892893
+## Nutrition                                     -0.096876750  0.098444990
+## Leadership                                     0.200587293 -0.043951788
+## Philosophy                                     0.050141362 -0.035570257
+## Physical.Education                            -0.005951315  0.210815408
+## Politics                                       0.218826058 -0.093130258
+## Private.School.Leadership                      0.204822247 -0.044466862
+## Psychological.Counseling                       0.021504240  0.180589584
+## Psychology                                     0.132750159  0.223687912
+## Reading                                        0.141378210  0.007779019
+## School.Psychology                              0.088295588  0.068982630
+## Science.Education                              0.002525749 -0.040226399
+## Sexuality..Women.and.Gender.in.Psychology      0.138274926  0.190272039
+## Social.Organizational.Psychology               0.211870376  0.062715239
+## Sociology                                      0.139414507  0.171940097
+## Spirituality.Mind.Body                         0.119406065  0.173459546
+## School.Principals                              0.217479454 -0.025803517
+## Urban.Education                                0.197797965 -0.005724431
+## Counseling.Psychology                          0.070167540  0.195730154
+## Communication.Media.and.Learning.Technologies  0.055898776  0.032653273
+##                                                        PC3          PC4
+## Adult.Education                                0.028182506 -0.012101516
+## Anthropology                                  -0.013498702 -0.186530401
+## Social.Studies                                -0.058297497 -0.062441476
+## Physiology                                    -0.029875300  0.085347530
+## Behavior.Analysis                              0.064112822  0.063218559
+## Linguistics                                    0.108760848 -0.347873695
+## Art.Education                                  0.044684538 -0.032872051
+## Teaching.English                               0.056978165 -0.274561025
+## Arts.Administration                            0.114395894 -0.022037413
+## Bilingual.Bicultural.Education                -0.005642685 -0.188182654
+## Clinical.Psychology                           -0.065207715 -0.043343805
+## Cognitive.Science                              0.310433118 -0.047490754
+## College.Advising                              -0.092624873  0.095460446
+## Communication.Sciences.and.Disorders           0.060687829 -0.174237714
+## Cooperation.and.Conflict.Resolution            0.012459052  0.042134054
+## Creative.Technologies                          0.260970961 -0.048352723
+## Curriculum.and.Teaching                       -0.032638635 -0.136233254
+## Dance.Education                                0.144541852 -0.126449044
+## Deaf.and.Hard.of.Hearing                       0.014471350 -0.231777116
+## Design.and.Development.of.Digital.Games        0.315204411 -0.155407491
+## Developmental.Psychology                      -0.019178994  0.013305093
+## Diabetes.Education                            -0.064466952 -0.062256944
+## Early.Childhood.Education                      0.016319702 -0.137738097
+## Early.Childhood.Special.Education             -0.106805966 -0.179485356
+## Economics.and.Education                       -0.037240112  0.147464986
+## Education.Technology                           0.269028133  0.118380213
+## Education.Leadership                          -0.018347066  0.133788509
+## Education.Policy                              -0.062160131  0.065062109
+## Inclusive.Education                           -0.038748887  0.016795477
+## English.Education                              0.030105227 -0.340655042
+## Change.Leadership                              0.027469355  0.090129650
+## Nursing                                       -0.124284925 -0.006326771
+## Gifted.Education                               0.142702875 -0.015319271
+## Health.Education                              -0.149398776  0.039773903
+## Higher.and.Postsecondary.Education            -0.046074812  0.050802594
+## History                                       -0.030043567 -0.130286278
+## Instructional.Technology.and.Media             0.256605069 -0.035329485
+## Intellectual.Disability.Autism                -0.060174199 -0.109418351
+## International.and.Comparative.Education        0.010684652  0.065832442
+## Kinesiology                                    0.032006324  0.028572726
+## Learning.Analytics                             0.279301926  0.095156574
+## Literacy                                       0.019325673 -0.249578015
+## Mathematics                                    0.279437785  0.160098841
+## Measurement..Evaluation.and.Statistics         0.246700617  0.117658853
+## Motor.Learning.and.Control                     0.157909931  0.153501353
+## Movement.Science                               0.054218545  0.051387822
+## Music                                          0.115547732 -0.033099369
+## Neuroscience                                   0.123316167  0.026158308
+## Nutrition                                     -0.115876404 -0.064711287
+## Leadership                                    -0.089623076  0.178233962
+## Philosophy                                    -0.015545648  0.024110573
+## Physical.Education                             0.069411030  0.046590787
+## Politics                                      -0.048800674  0.116061983
+## Private.School.Leadership                      0.022314928  0.079455100
+## Psychological.Counseling                      -0.061518244 -0.130944602
+## Psychology                                     0.138362887  0.053041590
+## Reading                                        0.042498185 -0.160488365
+## School.Psychology                             -0.052382941 -0.019388874
+## Science.Education                              0.139802843 -0.006356849
+## Sexuality..Women.and.Gender.in.Psychology     -0.020534185  0.025740427
+## Social.Organizational.Psychology              -0.094771939 -0.067165172
+## Sociology                                     -0.089267361  0.135896567
+## Spirituality.Mind.Body                        -0.064486688 -0.093103762
+## School.Principals                             -0.045270014  0.006180797
+## Urban.Education                                0.004016740 -0.014814714
+## Counseling.Psychology                          0.062714872  0.006732776
+## Communication.Media.and.Learning.Technologies  0.225757185  0.054377872
+##                                                         PC5          PC6
+## Adult.Education                                1.728415e-01 -0.102668759
+## Anthropology                                  -3.129737e-02  0.196426553
+## Social.Studies                                -1.474660e-01  0.076803863
+## Physiology                                    -6.609786e-02 -0.025259090
+## Behavior.Analysis                             -5.133547e-06 -0.082261014
+## Linguistics                                   -1.915169e-02  0.039603219
+## Art.Education                                 -1.584728e-01 -0.133805991
+## Teaching.English                               1.089443e-01 -0.006044466
+## Arts.Administration                           -1.869310e-01 -0.074904058
+## Bilingual.Bicultural.Education                 4.903744e-02 -0.159653250
+## Clinical.Psychology                            2.005051e-02 -0.036235448
+## Cognitive.Science                              4.991097e-02  0.087843872
+## College.Advising                               1.485522e-01 -0.105098235
+## Communication.Sciences.and.Disorders           2.793143e-02 -0.089000775
+## Cooperation.and.Conflict.Resolution           -9.699016e-05 -0.003460946
+## Creative.Technologies                          3.935876e-02 -0.080642586
+## Curriculum.and.Teaching                        5.402043e-02 -0.096422621
+## Dance.Education                               -1.803114e-01 -0.227974331
+## Deaf.and.Hard.of.Hearing                       5.168328e-02 -0.147128760
+## Design.and.Development.of.Digital.Games       -4.278729e-02 -0.145749767
+## Developmental.Psychology                       7.833214e-02  0.013997594
+## Diabetes.Education                             4.873309e-02 -0.127689916
+## Early.Childhood.Education                      1.760174e-01 -0.064400004
+## Early.Childhood.Special.Education              2.123717e-01 -0.039771119
+## Economics.and.Education                        8.153583e-02  0.012145918
+## Education.Technology                           1.085994e-01 -0.055435622
+## Education.Leadership                           1.477658e-01  0.026786690
+## Education.Policy                              -2.249421e-02 -0.078921380
+## Inclusive.Education                            2.115616e-01 -0.107026746
+## English.Education                              7.085640e-02  0.091851859
+## Change.Leadership                             -8.847020e-02 -0.143885402
+## Nursing                                       -9.978436e-02 -0.066867053
+## Gifted.Education                               1.577669e-01 -0.090391186
+## Health.Education                               3.300102e-03 -0.158034551
+## Higher.and.Postsecondary.Education             1.825499e-01  0.329136645
+## History                                       -3.272878e-01  0.001254374
+## Instructional.Technology.and.Media             5.601318e-02 -0.075288491
+## Intellectual.Disability.Autism                 1.192242e-01 -0.056404613
+## International.and.Comparative.Education        7.643797e-02 -0.115531729
+## Kinesiology                                    3.299363e-02  0.060837034
+## Learning.Analytics                            -5.633621e-02  0.201292330
+## Literacy                                      -2.770064e-02  0.109599023
+## Mathematics                                    3.066170e-02  0.006811620
+## Measurement..Evaluation.and.Statistics        -4.852397e-02  0.213080728
+## Motor.Learning.and.Control                     4.989157e-02 -0.135173662
+## Movement.Science                               1.275983e-02 -0.190268881
+## Music                                         -2.454760e-01 -0.122748200
+## Neuroscience                                  -7.738519e-02  0.090840720
+## Nutrition                                      3.976750e-02 -0.124974748
+## Leadership                                    -4.159671e-02 -0.036989921
+## Philosophy                                    -2.062782e-01  0.085310354
+## Physical.Education                            -2.422479e-02 -0.023093307
+## Politics                                      -9.569954e-02 -0.008885544
+## Private.School.Leadership                      2.280217e-01 -0.110605438
+## Psychological.Counseling                       2.319082e-01  0.180300182
+## Psychology                                     8.591414e-02  0.030580198
+## Reading                                       -1.403552e-01  0.079193712
+## School.Psychology                              3.755853e-02  0.267784552
+## Science.Education                              6.107782e-02  0.355283883
+## Sexuality..Women.and.Gender.in.Psychology     -2.118146e-01  0.071699549
+## Social.Organizational.Psychology              -2.731819e-02  0.107680504
+## Sociology                                     -6.936710e-02  0.043240262
+## Spirituality.Mind.Body                        -1.561628e-01  0.122103870
+## School.Principals                              7.613233e-02 -0.083483538
+## Urban.Education                               -1.852246e-01 -0.041156072
+## Counseling.Psychology                          1.783831e-01  0.090119254
+## Communication.Media.and.Learning.Technologies  4.549864e-02 -0.051178527
+##                                                        PC7           PC8
+## Adult.Education                                0.168961987 -0.0765370842
+## Anthropology                                   0.098276227  0.0954633593
+## Social.Studies                                -0.300006884 -0.2940596423
+## Physiology                                     0.073067860  0.0839518027
+## Behavior.Analysis                              0.054966515 -0.1111766436
+## Linguistics                                    0.144143242 -0.1125538040
+## Art.Education                                 -0.105359916  0.0579344858
+## Teaching.English                               0.044141594  0.1149604676
+## Arts.Administration                            0.074172102  0.0530020089
+## Bilingual.Bicultural.Education                -0.143056515  0.0418901350
+## Clinical.Psychology                            0.147447776 -0.0682643478
+## Cognitive.Science                              0.026039182 -0.0453729524
+## College.Advising                              -0.038383241 -0.0956028350
+## Communication.Sciences.and.Disorders           0.337589840 -0.1105070647
+## Cooperation.and.Conflict.Resolution           -0.098424611 -0.0906518314
+## Creative.Technologies                          0.141925957 -0.1678239562
+## Curriculum.and.Teaching                        0.006514167 -0.1169033788
+## Dance.Education                               -0.227605456  0.1258219202
+## Deaf.and.Hard.of.Hearing                      -0.159523240 -0.1053574605
+## Design.and.Development.of.Digital.Games        0.037583436 -0.0156096117
+## Developmental.Psychology                      -0.021018681  0.1983357512
+## Diabetes.Education                            -0.115484068  0.1798137911
+## Early.Childhood.Education                     -0.149048329  0.1639846821
+## Early.Childhood.Special.Education             -0.155666513  0.1184248013
+## Economics.and.Education                        0.044792514  0.0496561898
+## Education.Technology                          -0.055271900 -0.0071171726
+## Education.Leadership                           0.076640964  0.0851631320
+## Education.Policy                              -0.218669131  0.0228847197
+## Inclusive.Education                            0.119211689  0.0227717408
+## English.Education                              0.005418317 -0.0709703710
+## Change.Leadership                              0.030086536  0.0074568599
+## Nursing                                        0.082741555  0.0233711492
+## Gifted.Education                              -0.290446653  0.2132388392
+## Health.Education                               0.091940282 -0.0244728360
+## Higher.and.Postsecondary.Education            -0.016729596  0.0258983157
+## History                                        0.033760909 -0.0967642998
+## Instructional.Technology.and.Media             0.130952023  0.1250973228
+## Intellectual.Disability.Autism                -0.013183529  0.0008154006
+## International.and.Comparative.Education        0.052575217 -0.2968264489
+## Kinesiology                                   -0.066373271  0.0604760396
+## Learning.Analytics                             0.086112757  0.1409525929
+## Literacy                                       0.205570254  0.2273894320
+## Mathematics                                   -0.074865044  0.1674100945
+## Measurement..Evaluation.and.Statistics         0.067999834 -0.0318868226
+## Motor.Learning.and.Control                     0.058100872 -0.1647398625
+## Movement.Science                               0.048103676 -0.0562431322
+## Music                                         -0.211569465 -0.0765349465
+## Neuroscience                                  -0.052072450 -0.0712940929
+## Nutrition                                      0.041532672 -0.0372022630
+## Leadership                                    -0.003160839  0.1156509056
+## Philosophy                                    -0.015911739 -0.0199402455
+## Physical.Education                            -0.063127212  0.1445029446
+## Politics                                       0.059022047  0.1643300823
+## Private.School.Leadership                      0.094717624  0.0565089158
+## Psychological.Counseling                      -0.090105489 -0.0672544067
+## Psychology                                     0.053760748 -0.0528136251
+## Reading                                       -0.054538398  0.1406627887
+## School.Psychology                             -0.027757382 -0.1600309960
+## Science.Education                             -0.204119083  0.0037572011
+## Sexuality..Women.and.Gender.in.Psychology     -0.115593872 -0.0553145957
+## Social.Organizational.Psychology              -0.026109879 -0.2095701445
+## Sociology                                      0.071073850 -0.0345229042
+## Spirituality.Mind.Body                         0.098556500  0.0492756980
+## School.Principals                             -0.141747487 -0.0162850378
+## Urban.Education                                0.081488398  0.2350006363
+## Counseling.Psychology                         -0.201631124 -0.0746412070
+## Communication.Media.and.Learning.Technologies -0.115919319 -0.2738966071
+##                                                        PC9          PC10
+## Adult.Education                                0.013435773 -0.0799984882
+## Anthropology                                   0.167784914  0.0503525493
+## Social.Studies                                 0.153911527 -0.0704415543
+## Physiology                                    -0.127397038 -0.0068095350
+## Behavior.Analysis                              0.141151760  0.0437087194
+## Linguistics                                   -0.087203406 -0.2004274183
+## Art.Education                                 -0.038293467 -0.2271359521
+## Teaching.English                               0.042657952  0.0067423702
+## Arts.Administration                           -0.131687283  0.0147731755
+## Bilingual.Bicultural.Education                 0.153828308  0.1429691916
+## Clinical.Psychology                           -0.038843894  0.0288761742
+## Cognitive.Science                              0.065918953  0.0007978772
+## College.Advising                              -0.003580126 -0.1248193912
+## Communication.Sciences.and.Disorders           0.032156675 -0.0809595396
+## Cooperation.and.Conflict.Resolution           -0.185449879 -0.1246078191
+## Creative.Technologies                          0.091935459 -0.0916001392
+## Curriculum.and.Teaching                       -0.285032004  0.0663266999
+## Dance.Education                               -0.062212917 -0.1185659744
+## Deaf.and.Hard.of.Hearing                      -0.083700359 -0.1241571492
+## Design.and.Development.of.Digital.Games       -0.044609566 -0.0976035242
+## Developmental.Psychology                       0.173193201 -0.2472277929
+## Diabetes.Education                            -0.188140051  0.0583798294
+## Early.Childhood.Education                     -0.146383459  0.1254119489
+## Early.Childhood.Special.Education              0.216535038  0.0538747764
+## Economics.and.Education                       -0.138730577 -0.0855117592
+## Education.Technology                           0.033000009  0.0191961954
+## Education.Leadership                          -0.006458550 -0.2688520659
+## Education.Policy                               0.172636338  0.0620388476
+## Inclusive.Education                           -0.046348487  0.0841665592
+## English.Education                              0.087012108  0.1322263662
+## Change.Leadership                             -0.034329146  0.1370983885
+## Nursing                                        0.038522432  0.1445176451
+## Gifted.Education                               0.079108670 -0.0223955713
+## Health.Education                              -0.161864154  0.1562602079
+## Higher.and.Postsecondary.Education            -0.153959049 -0.1188163992
+## History                                        0.002100495 -0.0278227138
+## Instructional.Technology.and.Media            -0.029175777  0.0784349950
+## Intellectual.Disability.Autism                -0.088115027 -0.3938159863
+## International.and.Comparative.Education        0.102436476  0.0016139004
+## Kinesiology                                   -0.026024774  0.1025661686
+## Learning.Analytics                            -0.086193612  0.1188036224
+## Literacy                                      -0.059494139  0.0581088031
+## Mathematics                                   -0.015557446 -0.1494916483
+## Measurement..Evaluation.and.Statistics        -0.110822063  0.1766355470
+## Motor.Learning.and.Control                     0.035352659 -0.0374315529
+## Movement.Science                              -0.081462309 -0.1761113514
+## Music                                         -0.141270967  0.0967551422
+## Neuroscience                                  -0.147464533  0.0669438205
+## Nutrition                                     -0.310524967  0.0404126195
+## Leadership                                     0.068414906  0.1011462801
+## Philosophy                                    -0.055098137 -0.3596064960
+## Physical.Education                             0.110064760 -0.0884839188
+## Politics                                       0.008909885 -0.1184883426
+## Private.School.Leadership                      0.024835548 -0.0253843818
+## Psychological.Counseling                      -0.066213642 -0.0488194522
+## Psychology                                     0.172275723  0.0115320577
+## Reading                                        0.021850543  0.0615803695
+## School.Psychology                             -0.170797649 -0.0279701411
+## Science.Education                             -0.159361008 -0.0337840522
+## Sexuality..Women.and.Gender.in.Psychology      0.135661152 -0.0751167256
+## Social.Organizational.Psychology              -0.077274579  0.0299633984
+## Sociology                                     -0.018956896 -0.0748381737
+## Spirituality.Mind.Body                         0.204436706 -0.0785226242
+## School.Principals                             -0.235243530  0.0569763439
+## Urban.Education                               -0.196776629 -0.0041899842
+## Counseling.Psychology                         -0.063536973 -0.0224895270
+## Communication.Media.and.Learning.Technologies  0.009187855  0.1652215439
+##                                                       PC11          PC12
+## Adult.Education                                0.032130246 -0.0301339337
+## Anthropology                                  -0.020651885  0.0834657813
+## Social.Studies                                -0.109744759  0.0404254726
+## Physiology                                    -0.194341111  0.1131745712
+## Behavior.Analysis                              0.089878170 -0.0319030224
+## Linguistics                                   -0.067544248 -0.0250823133
+## Art.Education                                  0.253206972  0.1373679020
+## Teaching.English                              -0.017599019  0.1836961238
+## Arts.Administration                            0.079235330 -0.0614695039
+## Bilingual.Bicultural.Education                -0.158764994  0.0382493061
+## Clinical.Psychology                           -0.004615067 -0.1407173062
+## Cognitive.Science                             -0.221022828  0.0005286734
+## College.Advising                              -0.225633614  0.0095675774
+## Communication.Sciences.and.Disorders           0.183089630  0.0104082321
+## Cooperation.and.Conflict.Resolution            0.033919600 -0.1564105722
+## Creative.Technologies                          0.056784903 -0.0231553111
+## Curriculum.and.Teaching                       -0.128949325  0.0368188794
+## Dance.Education                               -0.130480574 -0.0788861313
+## Deaf.and.Hard.of.Hearing                       0.034741366 -0.1086641606
+## Design.and.Development.of.Digital.Games       -0.092132806 -0.1347079275
+## Developmental.Psychology                       0.111751823 -0.1224336165
+## Diabetes.Education                            -0.009762218  0.0145572401
+## Early.Childhood.Education                      0.082399165 -0.0003835624
+## Early.Childhood.Special.Education              0.059027524 -0.0732364380
+## Economics.and.Education                        0.075898875  0.0564930941
+## Education.Technology                           0.006633697  0.0645795654
+## Education.Leadership                           0.052247251  0.1303056368
+## Education.Policy                               0.030140443 -0.0196850650
+## Inclusive.Education                            0.234478738 -0.0989301993
+## English.Education                              0.015701053 -0.0493550860
+## Change.Leadership                             -0.074193872 -0.0133290195
+## Nursing                                       -0.007732268 -0.0320806926
+## Gifted.Education                              -0.008974676  0.2144268472
+## Health.Education                              -0.015114896  0.1583188196
+## Higher.and.Postsecondary.Education             0.030051989  0.1633976769
+## History                                        0.024664228  0.1075542438
+## Instructional.Technology.and.Media            -0.269810254  0.2212275020
+## Intellectual.Disability.Autism                -0.194040036 -0.2155930587
+## International.and.Comparative.Education       -0.267785935  0.0586773450
+## Kinesiology                                   -0.061494328  0.1590819351
+## Learning.Analytics                            -0.157478959 -0.0608922807
+## Literacy                                       0.001539529 -0.0323007809
+## Mathematics                                    0.047132883  0.0010083917
+## Measurement..Evaluation.and.Statistics        -0.034596071 -0.1734749367
+## Motor.Learning.and.Control                     0.189425052  0.3069512614
+## Movement.Science                               0.086911649 -0.1248802010
+## Music                                          0.201216245 -0.1567260038
+## Neuroscience                                   0.010558877 -0.0618923721
+## Nutrition                                     -0.212488923  0.1289094798
+## Leadership                                    -0.077310856 -0.3660959415
+## Philosophy                                     0.015011961  0.1719541123
+## Physical.Education                            -0.042144902  0.1235945483
+## Politics                                      -0.048610239  0.0315625799
+## Private.School.Leadership                     -0.021048271  0.0643348269
+## Psychological.Counseling                       0.103460650  0.0323582080
+## Psychology                                     0.083120760 -0.1380441669
+## Reading                                        0.073742306  0.2136182009
+## School.Psychology                             -0.034734920 -0.0170644765
+## Science.Education                              0.086987038 -0.1192960904
+## Sexuality..Women.and.Gender.in.Psychology     -0.187065570  0.0940975241
+## Social.Organizational.Psychology               0.181209042  0.1743344327
+## Sociology                                     -0.183106784  0.0652691063
+## Spirituality.Mind.Body                        -0.031419199  0.0277523219
+## School.Principals                             -0.011622428  0.0774748066
+## Urban.Education                                0.161079916  0.0252846943
+## Counseling.Psychology                         -0.109147271 -0.0798015721
+## Communication.Media.and.Learning.Technologies  0.194791266  0.1794879640
+##                                                       PC13         PC14
+## Adult.Education                                0.012306596 -0.186827417
+## Anthropology                                  -0.140136148  0.116887060
+## Social.Studies                                -0.015516352  0.194995876
+## Physiology                                     0.112299034  0.007715839
+## Behavior.Analysis                              0.119391975 -0.254264930
+## Linguistics                                    0.150983355  0.007171591
+## Art.Education                                  0.177715056 -0.109429910
+## Teaching.English                               0.075378657 -0.004291514
+## Arts.Administration                           -0.045147992  0.040213081
+## Bilingual.Bicultural.Education                 0.107640523  0.019705237
+## Clinical.Psychology                           -0.011151698  0.055946496
+## Cognitive.Science                              0.049300939 -0.058350570
+## College.Advising                              -0.205571337  0.036544347
+## Communication.Sciences.and.Disorders           0.002699779 -0.091466499
+## Cooperation.and.Conflict.Resolution           -0.144444791  0.027325217
+## Creative.Technologies                         -0.119328361 -0.041563310
+## Curriculum.and.Teaching                        0.110404901  0.234477170
+## Dance.Education                               -0.137220360  0.040128748
+## Deaf.and.Hard.of.Hearing                      -0.188854616 -0.108171733
+## Design.and.Development.of.Digital.Games       -0.065656233  0.079436618
+## Developmental.Psychology                       0.155319148  0.011586777
+## Diabetes.Education                            -0.147736255 -0.083192090
+## Early.Childhood.Education                      0.159327859 -0.133209523
+## Early.Childhood.Special.Education              0.022873775 -0.155233988
+## Economics.and.Education                       -0.072039754 -0.159613813
+## Education.Technology                           0.275124500  0.130746687
+## Education.Leadership                          -0.049433237  0.212539172
+## Education.Policy                               0.060851205 -0.084320704
+## Inclusive.Education                           -0.050983942  0.153217099
+## English.Education                             -0.011761564 -0.107724604
+## Change.Leadership                             -0.051941159 -0.117587354
+## Nursing                                       -0.135080452  0.149304309
+## Gifted.Education                               0.162286333  0.107049684
+## Health.Education                               0.216395861  0.125818170
+## Higher.and.Postsecondary.Education            -0.029725441  0.029012256
+## History                                        0.028871074  0.058360003
+## Instructional.Technology.and.Media            -0.117618167 -0.056138573
+## Intellectual.Disability.Autism                -0.122852207  0.060820832
+## International.and.Comparative.Education        0.097231070 -0.131502888
+## Kinesiology                                   -0.087781502 -0.266193061
+## Learning.Analytics                            -0.209549129 -0.039795278
+## Literacy                                       0.188626333  0.018279951
+## Mathematics                                   -0.125454494 -0.102448134
+## Measurement..Evaluation.and.Statistics         0.201237705  0.057674061
+## Motor.Learning.and.Control                    -0.048840079  0.123242975
+## Movement.Science                               0.181501100 -0.003704156
+## Music                                          0.059694366  0.171829100
+## Neuroscience                                  -0.002459014  0.139710029
+## Nutrition                                      0.226164157 -0.034501303
+## Leadership                                     0.071489840 -0.093017984
+## Philosophy                                     0.177215761 -0.250448099
+## Physical.Education                            -0.056940939  0.079630809
+## Politics                                       0.043071928  0.108933381
+## Private.School.Leadership                     -0.015301866  0.208780852
+## Psychological.Counseling                      -0.021662234  0.145765154
+## Psychology                                     0.173653015  0.074972402
+## Reading                                       -0.202384115  0.057430772
+## School.Psychology                             -0.009324208 -0.283161387
+## Science.Education                              0.182213211  0.023169120
+## Sexuality..Women.and.Gender.in.Psychology      0.125789166 -0.097597980
+## Social.Organizational.Psychology              -0.132236779  0.029231840
+## Sociology                                      0.060288778  0.061031112
+## Spirituality.Mind.Body                         0.064476616  0.144220547
+## School.Principals                              0.009140544 -0.132659295
+## Urban.Education                               -0.061688602 -0.070382128
+## Counseling.Psychology                          0.005001099  0.115599076
+## Communication.Media.and.Learning.Technologies -0.086314457 -0.061591830
+##                                                       PC15         PC16
+## Adult.Education                                0.040285434  0.108312333
+## Anthropology                                  -0.223149074  0.308955567
+## Social.Studies                                -0.031462984 -0.034043100
+## Physiology                                    -0.065151415  0.092591580
+## Behavior.Analysis                             -0.109997885 -0.023319400
+## Linguistics                                   -0.101862811 -0.108815906
+## Art.Education                                  0.030682859  0.286009110
+## Teaching.English                              -0.134504758 -0.043701737
+## Arts.Administration                           -0.040784818 -0.085071083
+## Bilingual.Bicultural.Education                -0.101353714  0.075911433
+## Clinical.Psychology                            0.024330341  0.113513082
+## Cognitive.Science                             -0.016470988 -0.090571717
+## College.Advising                              -0.151237487 -0.161819024
+## Communication.Sciences.and.Disorders           0.022931965 -0.092422272
+## Cooperation.and.Conflict.Resolution           -0.110593271 -0.020322363
+## Creative.Technologies                          0.060058469  0.132137149
+## Curriculum.and.Teaching                       -0.240485512 -0.147902752
+## Dance.Education                                0.046799791  0.071292763
+## Deaf.and.Hard.of.Hearing                       0.160052015 -0.123143914
+## Design.and.Development.of.Digital.Games        0.219888497 -0.064666172
+## Developmental.Psychology                      -0.098426940 -0.277621608
+## Diabetes.Education                             0.170277575 -0.054044510
+## Early.Childhood.Education                      0.096791384  0.154228656
+## Early.Childhood.Special.Education             -0.035600716  0.037024510
+## Economics.and.Education                       -0.104393154 -0.033968145
+## Education.Technology                           0.186609307 -0.127635412
+## Education.Leadership                           0.296698657  0.059793378
+## Education.Policy                               0.129795194 -0.095995834
+## Inclusive.Education                           -0.054457754 -0.131362189
+## English.Education                              0.107623078  0.134675821
+## Change.Leadership                              0.023781508  0.054596365
+## Nursing                                       -0.002656666 -0.040654362
+## Gifted.Education                              -0.016367242  0.076241489
+## Health.Education                               0.007561201 -0.074168184
+## Higher.and.Postsecondary.Education            -0.001477555  0.164600719
+## History                                        0.154762417 -0.056689847
+## Instructional.Technology.and.Media             0.037093030  0.158051743
+## Intellectual.Disability.Autism                 0.020557706  0.090699441
+## International.and.Comparative.Education       -0.021702631 -0.039388859
+## Kinesiology                                    0.039943829 -0.193738781
+## Learning.Analytics                             0.092590048  0.054802096
+## Literacy                                      -0.143736406 -0.187897678
+## Mathematics                                   -0.253047064 -0.134898023
+## Measurement..Evaluation.and.Statistics         0.102010471 -0.079360480
+## Motor.Learning.and.Control                    -0.026756388 -0.032379624
+## Movement.Science                               0.001191847  0.297532059
+## Music                                         -0.088375840  0.024321778
+## Neuroscience                                  -0.238414325  0.172937698
+## Nutrition                                      0.054701266 -0.003616451
+## Leadership                                    -0.103077367  0.098125093
+## Philosophy                                    -0.242279391 -0.058133970
+## Physical.Education                            -0.010213248 -0.280543677
+## Politics                                      -0.013672557  0.165524312
+## Private.School.Leadership                      0.051941090  0.049676822
+## Psychological.Counseling                       0.011351356  0.040518769
+## Psychology                                     0.008443529  0.046776031
+## Reading                                       -0.051484057 -0.033354545
+## School.Psychology                              0.029239948  0.027314360
+## Science.Education                              0.206903770 -0.074398826
+## Sexuality..Women.and.Gender.in.Psychology      0.109592653  0.013871756
+## Social.Organizational.Psychology               0.167912801 -0.109963092
+## Sociology                                      0.104592767  0.074333373
+## Spirituality.Mind.Body                         0.122406747  0.086690326
+## School.Principals                              0.097857405  0.052260053
+## Urban.Education                               -0.047689035  0.008108122
+## Counseling.Psychology                         -0.255433768  0.073540494
+## Communication.Media.and.Learning.Technologies -0.196326639  0.124273248
+##                                                       PC17          PC18
+## Adult.Education                               -0.106312795 -0.0045760573
+## Anthropology                                  -0.005044317  0.1297907765
+## Social.Studies                                -0.137732070  0.0144927529
+## Physiology                                    -0.086174290  0.0955604424
+## Behavior.Analysis                              0.201740704 -0.0520309510
+## Linguistics                                    0.028951640 -0.0163913626
+## Art.Education                                 -0.024633459  0.0653549971
+## Teaching.English                               0.215091753 -0.2368206076
+## Arts.Administration                           -0.008096824  0.1291170966
+## Bilingual.Bicultural.Education                -0.032239285  0.0148448469
+## Clinical.Psychology                            0.236738135  0.0319037604
+## Cognitive.Science                             -0.136772444  0.0703627050
+## College.Advising                              -0.173720507 -0.0943766490
+## Communication.Sciences.and.Disorders           0.024668555 -0.0034677320
+## Cooperation.and.Conflict.Resolution            0.014662350  0.0221298885
+## Creative.Technologies                         -0.162639524  0.0438792227
+## Curriculum.and.Teaching                        0.199589088  0.0484498432
+## Dance.Education                                0.220346164  0.1077181840
+## Deaf.and.Hard.of.Hearing                       0.128314970 -0.1380663088
+## Design.and.Development.of.Digital.Games       -0.051975725  0.1299753572
+## Developmental.Psychology                      -0.203364983 -0.1035744023
+## Diabetes.Education                             0.037631548 -0.2976459336
+## Early.Childhood.Education                     -0.224707911 -0.0693388955
+## Early.Childhood.Special.Education              0.003967585 -0.0055009794
+## Economics.and.Education                       -0.174063338 -0.0900756299
+## Education.Technology                           0.195181389  0.0008108945
+## Education.Leadership                           0.198664800 -0.0622624215
+## Education.Policy                              -0.049450454  0.0889580062
+## Inclusive.Education                           -0.163736580  0.2873862420
+## English.Education                             -0.105513881 -0.2441090786
+## Change.Leadership                             -0.096729731  0.0440294575
+## Nursing                                        0.167116047 -0.2528543473
+## Gifted.Education                               0.153732424  0.0946993638
+## Health.Education                              -0.123461641  0.0798098678
+## Higher.and.Postsecondary.Education             0.004775815 -0.0605172615
+## History                                       -0.053114379 -0.1005461631
+## Instructional.Technology.and.Media            -0.063728636  0.1147603765
+## Intellectual.Disability.Autism                -0.071252939  0.0864125044
+## International.and.Comparative.Education       -0.006301806 -0.0594726205
+## Kinesiology                                    0.025051469  0.0293013768
+## Learning.Analytics                            -0.075575357 -0.0752890325
+## Literacy                                      -0.017014065  0.0901809805
+## Mathematics                                    0.104306181  0.0096689023
+## Measurement..Evaluation.and.Statistics        -0.035465447 -0.2033090452
+## Motor.Learning.and.Control                    -0.067749013  0.0015062034
+## Movement.Science                              -0.179413719 -0.1491289852
+## Music                                         -0.120242119 -0.0716596163
+## Neuroscience                                  -0.071116988 -0.1440946353
+## Nutrition                                     -0.132774156  0.0290575396
+## Leadership                                    -0.021305215  0.0801611401
+## Philosophy                                    -0.008569934 -0.1521608721
+## Physical.Education                            -0.158589287  0.1009215709
+## Politics                                       0.056553251 -0.0069703357
+## Private.School.Leadership                      0.016117556 -0.1986441922
+## Psychological.Counseling                      -0.136762891  0.1871855419
+## Psychology                                     0.115697827  0.0222193387
+## Reading                                       -0.238315059 -0.1298539010
+## School.Psychology                              0.246753509  0.2748232066
+## Science.Education                             -0.067469270 -0.0310760083
+## Sexuality..Women.and.Gender.in.Psychology     -0.033396817  0.0843659358
+## Social.Organizational.Psychology               0.008156796  0.0858310603
+## Sociology                                      0.021070099 -0.2179527268
+## Spirituality.Mind.Body                        -0.001526742  0.1627724392
+## School.Principals                             -0.014964030  0.1712624544
+## Urban.Education                                0.120515239  0.0697944277
+## Counseling.Psychology                          0.077117960 -0.0709009764
+## Communication.Media.and.Learning.Technologies  0.069382597 -0.0038686478
+##                                                       PC19          PC20
+## Adult.Education                                0.131910642  0.1266091780
+## Anthropology                                  -0.015479047 -0.0517044769
+## Social.Studies                                 0.118131386 -0.0289277483
+## Physiology                                    -0.076604230 -0.1490226751
+## Behavior.Analysis                             -0.316345852 -0.0973974138
+## Linguistics                                    0.131090212 -0.0943811221
+## Art.Education                                  0.052702551  0.0602815161
+## Teaching.English                               0.140017116  0.0971860922
+## Arts.Administration                           -0.083692312  0.2073887768
+## Bilingual.Bicultural.Education                 0.011250862  0.1090573831
+## Clinical.Psychology                            0.062961304  0.0576145352
+## Cognitive.Science                              0.201302967 -0.0285782066
+## College.Advising                              -0.105707686  0.2176679199
+## Communication.Sciences.and.Disorders          -0.142741036 -0.0009254945
+## Cooperation.and.Conflict.Resolution            0.251389990 -0.1335753961
+## Creative.Technologies                          0.174151756  0.1741393184
+## Curriculum.and.Teaching                       -0.197900651  0.1069545833
+## Dance.Education                               -0.141783159  0.1534198629
+## Deaf.and.Hard.of.Hearing                      -0.086728649 -0.0707930670
+## Design.and.Development.of.Digital.Games        0.062216833 -0.0136143300
+## Developmental.Psychology                       0.022100774  0.0341307763
+## Diabetes.Education                             0.082885300 -0.0349832941
+## Early.Childhood.Education                      0.001213151 -0.1858151088
+## Early.Childhood.Special.Education             -0.036718673  0.3804867769
+## Economics.and.Education                       -0.045360402  0.0810750371
+## Education.Technology                          -0.070353384 -0.0503392846
+## Education.Leadership                          -0.048820467 -0.0791335339
+## Education.Policy                               0.215528112 -0.1963744698
+## Inclusive.Education                           -0.069549757 -0.0899660243
+## English.Education                             -0.194320617 -0.1601628569
+## Change.Leadership                              0.055619949 -0.0342698586
+## Nursing                                        0.154790420  0.1302300325
+## Gifted.Education                               0.092545449 -0.0052991772
+## Health.Education                               0.079875628 -0.0540002092
+## Higher.and.Postsecondary.Education            -0.206330996  0.1375451215
+## History                                       -0.077427784 -0.0323316956
+## Instructional.Technology.and.Media             0.022374725  0.0340036080
+## Intellectual.Disability.Autism                -0.158561734 -0.2501988900
+## International.and.Comparative.Education       -0.141335035 -0.1111981643
+## Kinesiology                                   -0.091871766 -0.0225405928
+## Learning.Analytics                            -0.012926427  0.1221744394
+## Literacy                                       0.085538873 -0.0207264233
+## Mathematics                                    0.007809638 -0.2421766824
+## Measurement..Evaluation.and.Statistics        -0.072637518  0.1045052747
+## Motor.Learning.and.Control                    -0.121078245  0.0165202294
+## Movement.Science                              -0.072230046  0.1479141869
+## Music                                         -0.124840442  0.1325366798
+## Neuroscience                                   0.076321150  0.0134369818
+## Nutrition                                     -0.030405252 -0.0437633976
+## Leadership                                    -0.108881761 -0.0343718576
+## Philosophy                                     0.086852012  0.0748645555
+## Physical.Education                            -0.108977316  0.2367596818
+## Politics                                      -0.081213331 -0.0719137651
+## Private.School.Leadership                     -0.040594569  0.0899305609
+## Psychological.Counseling                       0.130199530  0.0938184257
+## Psychology                                     0.007628281 -0.1024303510
+## Reading                                       -0.257209796 -0.2452217428
+## School.Psychology                             -0.008478013  0.1370797684
+## Science.Education                             -0.083342334  0.0633206224
+## Sexuality..Women.and.Gender.in.Psychology     -0.099583829  0.1134204623
+## Social.Organizational.Psychology               0.085701709 -0.0098184946
+## Sociology                                      0.256449769 -0.0140452937
+## Spirituality.Mind.Body                        -0.190331350  0.0035156942
+## School.Principals                             -0.056127971  0.0799369924
+## Urban.Education                                0.115136853 -0.0376746613
+## Counseling.Psychology                         -0.050767845 -0.1104541534
+## Communication.Media.and.Learning.Technologies  0.028192895 -0.0820630453
+##                                                       PC21        PC22
+## Adult.Education                               -0.129858578  0.16406240
+## Anthropology                                  -0.213122525  0.08662058
+## Social.Studies                                 0.037325547  0.10479206
+## Physiology                                     0.011558607  0.05141842
+## Behavior.Analysis                             -0.106805813 -0.04832636
+## Linguistics                                    0.033424854  0.03486876
+## Art.Education                                 -0.023816315 -0.14046110
+## Teaching.English                              -0.064639113 -0.10396934
+## Arts.Administration                            0.133528314 -0.01108393
+## Bilingual.Bicultural.Education                 0.120835021 -0.07298269
+## Clinical.Psychology                           -0.041495884  0.08081073
+## Cognitive.Science                              0.189421556 -0.08914840
+## College.Advising                              -0.027987097 -0.05363045
+## Communication.Sciences.and.Disorders          -0.050748831  0.09757116
+## Cooperation.and.Conflict.Resolution            0.120095926 -0.08862685
+## Creative.Technologies                          0.154453673  0.08409319
+## Curriculum.and.Teaching                       -0.023492209 -0.11357385
+## Dance.Education                               -0.021973249  0.15839137
+## Deaf.and.Hard.of.Hearing                       0.022791884  0.17520843
+## Design.and.Development.of.Digital.Games       -0.006057185  0.04193451
+## Developmental.Psychology                      -0.228529202 -0.11834551
+## Diabetes.Education                             0.011668424  0.12248098
+## Early.Childhood.Education                      0.111201478 -0.15427344
+## Early.Childhood.Special.Education              0.026045170  0.02584053
+## Economics.and.Education                        0.098813991  0.26236692
+## Education.Technology                          -0.060907020  0.09832670
+## Education.Leadership                           0.078952165 -0.08384868
+## Education.Policy                              -0.031598570  0.12985596
+## Inclusive.Education                            0.003279515  0.11112372
+## English.Education                              0.081120151  0.08050924
+## Change.Leadership                             -0.054254439 -0.03350034
+## Nursing                                       -0.074835756 -0.13015538
+## Gifted.Education                               0.068637384  0.06192963
+## Health.Education                               0.134293006 -0.07431249
+## Higher.and.Postsecondary.Education             0.198451790  0.09955600
+## History                                        0.076590910 -0.19179463
+## Instructional.Technology.and.Media            -0.265914624 -0.07825056
+## Intellectual.Disability.Autism                -0.147736627 -0.16993363
+## International.and.Comparative.Education       -0.130381258 -0.09823330
+## Kinesiology                                   -0.153697554  0.01260739
+## Learning.Analytics                             0.028666304  0.01496094
+## Literacy                                      -0.047056101  0.10349250
+## Mathematics                                   -0.035062544 -0.16574951
+## Measurement..Evaluation.and.Statistics         0.019571480  0.04447082
+## Motor.Learning.and.Control                    -0.077615492  0.19412987
+## Movement.Science                               0.142534916 -0.21816432
+## Music                                         -0.250657115  0.14757516
+## Neuroscience                                  -0.131108623 -0.12984778
+## Nutrition                                      0.039524688  0.21170574
+## Leadership                                     0.023889985 -0.03150798
+## Philosophy                                    -0.002493882  0.12193198
+## Physical.Education                             0.219117138 -0.05310713
+## Politics                                      -0.083496607  0.29199242
+## Private.School.Leadership                     -0.020047631 -0.23800895
+## Psychological.Counseling                      -0.282818892  0.02479143
+## Psychology                                     0.158242064  0.03798057
+## Reading                                        0.092015397 -0.04292825
+## School.Psychology                              0.142272315 -0.11865629
+## Science.Education                             -0.268954799 -0.06477610
+## Sexuality..Women.and.Gender.in.Psychology     -0.061514434 -0.04561997
+## Social.Organizational.Psychology              -0.009698176 -0.17342467
+## Sociology                                     -0.152051305  0.15768965
+## Spirituality.Mind.Body                         0.089140545 -0.01020251
+## School.Principals                             -0.177015687 -0.10319167
+## Urban.Education                                0.066729623 -0.05318069
+## Counseling.Psychology                          0.239964969  0.20316492
+## Communication.Media.and.Learning.Technologies -0.018366795 -0.05266182
+##                                                       PC23         PC24
+## Adult.Education                               -0.169091678 -0.026906375
+## Anthropology                                   0.175509327 -0.079987000
+## Social.Studies                                -0.082048846  0.111163311
+## Physiology                                    -0.051669799  0.057053331
+## Behavior.Analysis                             -0.023333957  0.073296225
+## Linguistics                                    0.018821239  0.302329378
+## Art.Education                                  0.032878436 -0.102695247
+## Teaching.English                              -0.161289208 -0.096205028
+## Arts.Administration                            0.132352362 -0.146450926
+## Bilingual.Bicultural.Education                -0.232375149  0.006744521
+## Clinical.Psychology                            0.071502777 -0.097153903
+## Cognitive.Science                              0.123448294 -0.142755641
+## College.Advising                               0.198700653 -0.221051137
+## Communication.Sciences.and.Disorders          -0.080330903 -0.073743457
+## Cooperation.and.Conflict.Resolution           -0.066388618 -0.147368766
+## Creative.Technologies                          0.040292784  0.010607283
+## Curriculum.and.Teaching                       -0.084422394 -0.182435079
+## Dance.Education                                0.160014991 -0.026740451
+## Deaf.and.Hard.of.Hearing                       0.015506161  0.199653896
+## Design.and.Development.of.Digital.Games        0.163814892 -0.080128057
+## Developmental.Psychology                       0.034788380  0.011114529
+## Diabetes.Education                            -0.150702346 -0.034679781
+## Early.Childhood.Education                      0.172956533 -0.249761256
+## Early.Childhood.Special.Education              0.103114466  0.042494141
+## Economics.and.Education                        0.084090103  0.142232728
+## Education.Technology                           0.101794646 -0.012093329
+## Education.Leadership                           0.157172161 -0.040229404
+## Education.Policy                              -0.053517942  0.052605027
+## Inclusive.Education                           -0.109143783 -0.169468485
+## English.Education                              0.081725689 -0.173555159
+## Change.Leadership                             -0.001707485  0.191586845
+## Nursing                                        0.121716336 -0.026318129
+## Gifted.Education                              -0.015116754  0.043761130
+## Health.Education                               0.056457076 -0.051516590
+## Higher.and.Postsecondary.Education             0.077915627  0.059037810
+## History                                        0.046420229  0.066310364
+## Instructional.Technology.and.Media            -0.207248606  0.070531582
+## Intellectual.Disability.Autism                -0.046861302 -0.023885018
+## International.and.Comparative.Education        0.082266940  0.036932660
+## Kinesiology                                    0.018935824 -0.031320955
+## Learning.Analytics                            -0.228298746  0.068414567
+## Literacy                                       0.260872994  0.203439403
+## Mathematics                                   -0.096620092 -0.056582100
+## Measurement..Evaluation.and.Statistics        -0.070856437 -0.112132846
+## Motor.Learning.and.Control                     0.133434619  0.055083091
+## Movement.Science                              -0.080003772  0.143285495
+## Music                                         -0.209736748 -0.088883406
+## Neuroscience                                   0.099899712  0.142908377
+## Nutrition                                     -0.011607893  0.085493709
+## Leadership                                     0.162698419  0.135535799
+## Philosophy                                    -0.107954323 -0.170799472
+## Physical.Education                            -0.055183189  0.060681540
+## Politics                                      -0.161398417 -0.066943682
+## Private.School.Leadership                     -0.057343363  0.245499623
+## Psychological.Counseling                      -0.025529043 -0.027337660
+## Psychology                                    -0.191296051 -0.186432209
+## Reading                                       -0.015483498 -0.118988416
+## School.Psychology                             -0.094924106 -0.102759667
+## Science.Education                              0.069425512  0.113257982
+## Sexuality..Women.and.Gender.in.Psychology      0.124463511 -0.108869104
+## Social.Organizational.Psychology              -0.162314132  0.117919343
+## Sociology                                      0.161875827 -0.231799204
+## Spirituality.Mind.Body                        -0.150184851  0.077004428
+## School.Principals                              0.024011851  0.009124248
+## Urban.Education                                0.111942887  0.157073981
+## Counseling.Psychology                         -0.013456869  0.150740651
+## Communication.Media.and.Learning.Technologies  0.232860578  0.056103338
+##                                                       PC25        PC26
+## Adult.Education                               -0.171508908  0.02090199
+## Anthropology                                  -0.024827367  0.18587828
+## Social.Studies                                 0.052507175 -0.05706654
+## Physiology                                     0.109659849  0.15086779
+## Behavior.Analysis                              0.065965836 -0.16381692
+## Linguistics                                    0.009216336 -0.18351633
+## Art.Education                                  0.024467031 -0.21136862
+## Teaching.English                              -0.083670042  0.09014350
+## Arts.Administration                            0.151766618  0.18641796
+## Bilingual.Bicultural.Education                 0.047032325 -0.22688401
+## Clinical.Psychology                           -0.109014198 -0.08470890
+## Cognitive.Science                             -0.054750339 -0.05781587
+## College.Advising                              -0.140552464  0.14991821
+## Communication.Sciences.and.Disorders           0.241879511  0.04418184
+## Cooperation.and.Conflict.Resolution           -0.101939923 -0.09640538
+## Creative.Technologies                          0.330763972  0.05956784
+## Curriculum.and.Teaching                       -0.091524705 -0.04331892
+## Dance.Education                               -0.054054791 -0.10813994
+## Deaf.and.Hard.of.Hearing                      -0.058442838  0.06472734
+## Design.and.Development.of.Digital.Games       -0.016712775 -0.20926352
+## Developmental.Psychology                       0.054422492 -0.07450895
+## Diabetes.Education                             0.051910599  0.10027546
+## Early.Childhood.Education                      0.096049332  0.06298602
+## Early.Childhood.Special.Education             -0.084817504  0.10524235
+## Economics.and.Education                        0.045340966 -0.03614132
+## Education.Technology                           0.117262763  0.10041679
+## Education.Leadership                          -0.085233835 -0.04251367
+## Education.Policy                              -0.064243277  0.01689250
+## Inclusive.Education                            0.153621368 -0.21677168
+## English.Education                              0.016252446  0.11577093
+## Change.Leadership                             -0.113785236  0.03469011
+## Nursing                                        0.273344398 -0.08568097
+## Gifted.Education                               0.244617087  0.15066978
+## Health.Education                              -0.024592616 -0.11936179
+## Higher.and.Postsecondary.Education             0.032988802 -0.29771356
+## History                                        0.029985897 -0.01336949
+## Instructional.Technology.and.Media            -0.025787733 -0.04952361
+## Intellectual.Disability.Autism                 0.100308094  0.11153378
+## International.and.Comparative.Education        0.166647569  0.10056746
+## Kinesiology                                    0.014468300 -0.36139949
+## Learning.Analytics                            -0.062261968 -0.08098978
+## Literacy                                      -0.176876260  0.01925970
+## Mathematics                                   -0.101803494  0.17522791
+## Measurement..Evaluation.and.Statistics         0.007451375  0.04384185
+## Motor.Learning.and.Control                    -0.263326048  0.09002617
+## Movement.Science                              -0.229440252  0.05462945
+## Music                                         -0.073324067  0.03305859
+## Neuroscience                                   0.234596429  0.04049508
+## Nutrition                                     -0.069410417  0.18261915
+## Leadership                                     0.050580007 -0.04259544
+## Philosophy                                     0.090991115 -0.02215810
+## Physical.Education                             0.113082914  0.15571394
+## Politics                                       0.196144720 -0.02108171
+## Private.School.Leadership                     -0.003827503 -0.11682493
+## Psychological.Counseling                      -0.039058556 -0.03990496
+## Psychology                                    -0.256072519  0.05522795
+## Reading                                       -0.093251320 -0.12813694
+## School.Psychology                              0.067105937  0.11646558
+## Science.Education                              0.015961123  0.07248292
+## Sexuality..Women.and.Gender.in.Psychology     -0.170810288 -0.07221901
+## Social.Organizational.Psychology               0.021641023  0.18133357
+## Sociology                                     -0.017815053 -0.03614612
+## Spirituality.Mind.Body                        -0.070230743  0.10790572
+## School.Principals                              0.079185199 -0.02792055
+## Urban.Education                               -0.094678762  0.11296488
+## Counseling.Psychology                          0.018311395 -0.06164520
+## Communication.Media.and.Learning.Technologies -0.045929468  0.00472069
+##                                                       PC27         PC28
+## Adult.Education                                0.073089807 -0.240590632
+## Anthropology                                  -0.220125709 -0.132141523
+## Social.Studies                                 0.016240435 -0.023153894
+## Physiology                                    -0.207947846 -0.116644085
+## Behavior.Analysis                             -0.073185490  0.006722119
+## Linguistics                                    0.160882101  0.011491947
+## Art.Education                                  0.021231544 -0.075963056
+## Teaching.English                              -0.192427235 -0.142934980
+## Arts.Administration                           -0.031533345 -0.132554469
+## Bilingual.Bicultural.Education                -0.064640577 -0.112169793
+## Clinical.Psychology                            0.114938756  0.042527076
+## Cognitive.Science                              0.228442601 -0.107817034
+## College.Advising                               0.087269559  0.038560694
+## Communication.Sciences.and.Disorders           0.089436365 -0.121635809
+## Cooperation.and.Conflict.Resolution           -0.288608867 -0.225717662
+## Creative.Technologies                         -0.183228980  0.238867531
+## Curriculum.and.Teaching                        0.022144837  0.164701368
+## Dance.Education                               -0.049030038  0.028673503
+## Deaf.and.Hard.of.Hearing                      -0.035540223 -0.112170637
+## Design.and.Development.of.Digital.Games       -0.100285320 -0.088493391
+## Developmental.Psychology                      -0.079940646  0.049021866
+## Diabetes.Education                             0.048469517  0.273128433
+## Early.Childhood.Education                      0.087886278 -0.046419499
+## Early.Childhood.Special.Education              0.030789459  0.039064634
+## Economics.and.Education                        0.126237679 -0.053515723
+## Education.Technology                          -0.008935130 -0.030208641
+## Education.Leadership                          -0.185202227  0.048418628
+## Education.Policy                              -0.084944270 -0.041239393
+## Inclusive.Education                            0.032554956  0.225959114
+## English.Education                             -0.181330097  0.091908890
+## Change.Leadership                              0.020275996 -0.034652160
+## Nursing                                        0.173411808 -0.270112237
+## Gifted.Education                               0.156005298 -0.077160705
+## Health.Education                              -0.079010668 -0.094690348
+## Higher.and.Postsecondary.Education            -0.016300124 -0.058350251
+## History                                       -0.090967148  0.171855774
+## Instructional.Technology.and.Media             0.042876489  0.169140157
+## Intellectual.Disability.Autism                 0.048117073 -0.086689460
+## International.and.Comparative.Education        0.028874783  0.111222642
+## Kinesiology                                   -0.199784877 -0.068124837
+## Learning.Analytics                            -0.005778232  0.021238188
+## Literacy                                      -0.091597525  0.002672037
+## Mathematics                                    0.028918537 -0.023860901
+## Measurement..Evaluation.and.Statistics        -0.076347239 -0.104803804
+## Motor.Learning.and.Control                     0.077144375 -0.251279455
+## Movement.Science                              -0.041083720  0.005211008
+## Music                                         -0.043790917 -0.042858036
+## Neuroscience                                   0.075816642  0.017708608
+## Nutrition                                     -0.162162636 -0.017670152
+## Leadership                                    -0.160051265 -0.062402072
+## Philosophy                                    -0.019254569  0.123609160
+## Physical.Education                            -0.193494580  0.025531439
+## Politics                                      -0.113976404 -0.021052079
+## Private.School.Leadership                     -0.148571227 -0.001851933
+## Psychological.Counseling                      -0.095563447  0.188383437
+## Psychology                                     0.068471311  0.173177127
+## Reading                                        0.178122406 -0.088798731
+## School.Psychology                             -0.043131021 -0.102193921
+## Science.Education                              0.061927697 -0.033592786
+## Sexuality..Women.and.Gender.in.Psychology     -0.047513712  0.138049294
+## Social.Organizational.Psychology              -0.106950618 -0.080665186
+## Sociology                                      0.080478364  0.085924388
+## Spirituality.Mind.Body                         0.301957443 -0.035675262
+## School.Principals                              0.228611632 -0.055457732
+## Urban.Education                                0.096538703  0.299239044
+## Counseling.Psychology                          0.056236060  0.058973136
+## Communication.Media.and.Learning.Technologies -0.103926929  0.177667820
+##                                                        PC29          PC30
+## Adult.Education                               -0.0633734082  0.2526254067
+## Anthropology                                  -0.1459664565  0.0214402844
+## Social.Studies                                -0.0612902303  0.0032078639
+## Physiology                                     0.2234994650 -0.0576602386
+## Behavior.Analysis                             -0.0675203264  0.0492368266
+## Linguistics                                    0.0517537992 -0.0467344207
+## Art.Education                                 -0.0124137503 -0.2700907301
+## Teaching.English                               0.1890507828 -0.2054191151
+## Arts.Administration                           -0.2607075798  0.0418932692
+## Bilingual.Bicultural.Education                -0.1113045285  0.0603925032
+## Clinical.Psychology                            0.1002945313  0.1130882509
+## Cognitive.Science                             -0.1080802132 -0.0787551445
+## College.Advising                              -0.0581968461 -0.0420954281
+## Communication.Sciences.and.Disorders           0.1149724903  0.1586615750
+## Cooperation.and.Conflict.Resolution            0.1054075913  0.1820456191
+## Creative.Technologies                         -0.0953597915 -0.1670652381
+## Curriculum.and.Teaching                        0.0550167674 -0.0273225117
+## Dance.Education                                0.0674415348 -0.0431759979
+## Deaf.and.Hard.of.Hearing                      -0.0545494234 -0.1766760339
+## Design.and.Development.of.Digital.Games        0.0378654617  0.0848913109
+## Developmental.Psychology                      -0.1481447445 -0.0393896739
+## Diabetes.Education                            -0.1787131969  0.1664342481
+## Early.Childhood.Education                      0.1028863098  0.2248698947
+## Early.Childhood.Special.Education             -0.0377612978  0.0165476649
+## Economics.and.Education                        0.1430056173  0.0063373590
+## Education.Technology                          -0.0262057402  0.0800973327
+## Education.Leadership                          -0.0451113077  0.0838574347
+## Education.Policy                               0.0271283454 -0.1044962433
+## Inclusive.Education                            0.0967547621 -0.2589369686
+## English.Education                              0.1394016856 -0.1603446002
+## Change.Leadership                             -0.0649232583 -0.2169021817
+## Nursing                                       -0.1358587806 -0.1069556532
+## Gifted.Education                               0.0599864233  0.0399011469
+## Health.Education                              -0.1028617888  0.0398071827
+## Higher.and.Postsecondary.Education            -0.1415472820  0.0726431391
+## History                                       -0.1663797575  0.2738852997
+## Instructional.Technology.and.Media             0.1362649838  0.1539250334
+## Intellectual.Disability.Autism                -0.0268428975 -0.0583920712
+## International.and.Comparative.Education        0.0303564688  0.0215716822
+## Kinesiology                                   -0.0706852338  0.0155225546
+## Learning.Analytics                            -0.0522219433  0.0151837459
+## Literacy                                      -0.0539623527  0.0591235318
+## Mathematics                                   -0.2399345922 -0.0737807527
+## Measurement..Evaluation.and.Statistics         0.0260779429 -0.2949428679
+## Motor.Learning.and.Control                     0.1308801559 -0.0037908532
+## Movement.Science                               0.0397478935 -0.0273190509
+## Music                                          0.0292360990  0.0628785578
+## Neuroscience                                   0.0778801893  0.1526600671
+## Nutrition                                     -0.3698052571 -0.1154682469
+## Leadership                                     0.1086756729  0.0102121747
+## Philosophy                                    -0.0005891809  0.0437443366
+## Physical.Education                             0.2663304678  0.0810879107
+## Politics                                      -0.1590784699 -0.0337605747
+## Private.School.Leadership                     -0.0369969739 -0.1857423550
+## Psychological.Counseling                      -0.0916388086 -0.0242045369
+## Psychology                                    -0.1357897667  0.0647515746
+## Reading                                        0.0184423539 -0.1211495137
+## School.Psychology                             -0.0075427599 -0.1352911200
+## Science.Education                              0.0357796587  0.0368691270
+## Sexuality..Women.and.Gender.in.Psychology      0.1453887937 -0.0006447972
+## Social.Organizational.Psychology               0.1251891536  0.0033835719
+## Sociology                                      0.1569852303 -0.1877789764
+## Spirituality.Mind.Body                        -0.1169979965 -0.0968114583
+## School.Principals                             -0.0548057624 -0.1141928176
+## Urban.Education                                0.1351187702 -0.1098221725
+## Counseling.Psychology                          0.0945655664  0.0269657395
+## Communication.Media.and.Learning.Technologies -0.1703499835 -0.0291613294
+##                                                       PC31         PC32
+## Adult.Education                                0.043883085  0.053364020
+## Anthropology                                   0.245264285  0.132697619
+## Social.Studies                                -0.092582504  0.012866393
+## Physiology                                    -0.253859924  0.149345846
+## Behavior.Analysis                             -0.049371928  0.116174061
+## Linguistics                                   -0.104360813 -0.148387718
+## Art.Education                                  0.237052218  0.197236262
+## Teaching.English                              -0.126857610  0.170355423
+## Arts.Administration                           -0.092714045  0.005889031
+## Bilingual.Bicultural.Education                -0.110744899 -0.009416583
+## Clinical.Psychology                           -0.133748469 -0.115948564
+## Cognitive.Science                              0.192133233 -0.020081431
+## College.Advising                               0.004669708  0.174819317
+## Communication.Sciences.and.Disorders          -0.104680475  0.065776257
+## Cooperation.and.Conflict.Resolution           -0.117419183 -0.138043478
+## Creative.Technologies                         -0.115297931 -0.069330790
+## Curriculum.and.Teaching                        0.044008299 -0.038671951
+## Dance.Education                                0.032902443  0.075125637
+## Deaf.and.Hard.of.Hearing                       0.112727888  0.029277365
+## Design.and.Development.of.Digital.Games        0.025573486 -0.003977751
+## Developmental.Psychology                       0.025234117  0.044043158
+## Diabetes.Education                             0.091042658  0.004059697
+## Early.Childhood.Education                      0.022088130 -0.143924488
+## Early.Childhood.Special.Education             -0.213521741 -0.164970266
+## Economics.and.Education                        0.048434027  0.276714647
+## Education.Technology                          -0.012262717  0.126320853
+## Education.Leadership                          -0.022464778  0.078153111
+## Education.Policy                              -0.097255881  0.160866786
+## Inclusive.Education                           -0.021161504  0.095092087
+## English.Education                              0.073255640 -0.134929331
+## Change.Leadership                              0.066458188 -0.174210725
+## Nursing                                        0.052775113 -0.070305803
+## Gifted.Education                              -0.060498279 -0.042712414
+## Health.Education                               0.059102611 -0.086337103
+## Higher.and.Postsecondary.Education            -0.173126703 -0.028540902
+## History                                        0.113683357  0.104111244
+## Instructional.Technology.and.Media             0.066413231 -0.033489390
+## Intellectual.Disability.Autism                -0.183414943 -0.001234016
+## International.and.Comparative.Education        0.205051992 -0.122053400
+## Kinesiology                                    0.078846690 -0.134245215
+## Learning.Analytics                            -0.108884617  0.134941650
+## Literacy                                       0.132513080  0.114686273
+## Mathematics                                   -0.052052112 -0.101564956
+## Measurement..Evaluation.and.Statistics        -0.002808683  0.051942439
+## Motor.Learning.and.Control                     0.012176703 -0.314890116
+## Movement.Science                               0.126753783  0.038305572
+## Music                                          0.033556978 -0.098148648
+## Neuroscience                                  -0.076371759  0.150450716
+## Nutrition                                     -0.178044514  0.020939460
+## Leadership                                    -0.012741325 -0.149967155
+## Philosophy                                    -0.008130992 -0.161068498
+## Physical.Education                             0.165276243 -0.131870093
+## Politics                                       0.198372157 -0.270386774
+## Private.School.Leadership                      0.034009937 -0.150904300
+## Psychological.Counseling                       0.062402653 -0.092550422
+## Psychology                                     0.030282860  0.094364116
+## Reading                                       -0.115153280 -0.029480961
+## School.Psychology                              0.163010468 -0.111924903
+## Science.Education                             -0.052372816 -0.140470246
+## Sexuality..Women.and.Gender.in.Psychology     -0.168481038  0.080172184
+## Social.Organizational.Psychology               0.116078230  0.110298413
+## Sociology                                     -0.042159346 -0.064769948
+## Spirituality.Mind.Body                        -0.066081224 -0.097892583
+## School.Principals                              0.032629324  0.158655735
+## Urban.Education                               -0.063290748 -0.153344900
+## Counseling.Psychology                          0.346300300  0.099569196
+## Communication.Media.and.Learning.Technologies -0.238521408  0.002628288
+##                                                       PC33          PC34
+## Adult.Education                               -0.024084550 -0.0821580364
+## Anthropology                                  -0.144355484  0.0783470702
+## Social.Studies                                -0.042619407 -0.1683314628
+## Physiology                                     0.095200567 -0.1532510412
+## Behavior.Analysis                             -0.114895063 -0.0028277919
+## Linguistics                                   -0.111708830  0.0498277172
+## Art.Education                                 -0.030059825 -0.0543239377
+## Teaching.English                               0.009307747  0.2385319024
+## Arts.Administration                           -0.029339435  0.0815395977
+## Bilingual.Bicultural.Education                 0.099681221  0.0115169773
+## Clinical.Psychology                           -0.425143399 -0.1005958845
+## Cognitive.Science                             -0.009658185  0.0653903770
+## College.Advising                               0.045210546 -0.0428646534
+## Communication.Sciences.and.Disorders           0.110013958 -0.0249352593
+## Cooperation.and.Conflict.Resolution            0.109846671 -0.1967723735
+## Creative.Technologies                          0.031970106  0.0356018827
+## Curriculum.and.Teaching                        0.151178784 -0.0668275129
+## Dance.Education                               -0.125684324 -0.0469254295
+## Deaf.and.Hard.of.Hearing                       0.043538227  0.0203044949
+## Design.and.Development.of.Digital.Games        0.134226002  0.0654728050
+## Developmental.Psychology                      -0.164201139 -0.0928910553
+## Diabetes.Education                             0.061122720  0.1605994879
+## Early.Childhood.Education                      0.028696741  0.0409715997
+## Early.Childhood.Special.Education             -0.076527112 -0.0377718981
+## Economics.and.Education                        0.191830713  0.0420228186
+## Education.Technology                           0.094841657 -0.2350864915
+## Education.Leadership                           0.085847253  0.1635033550
+## Education.Policy                              -0.094071252  0.0004447456
+## Inclusive.Education                           -0.011937654  0.1263948269
+## English.Education                              0.042392029 -0.1943238926
+## Change.Leadership                              0.083689616  0.2851363866
+## Nursing                                        0.151455610  0.0317311670
+## Gifted.Education                              -0.013909663  0.0782665475
+## Health.Education                              -0.248628465  0.2194385079
+## Higher.and.Postsecondary.Education            -0.098760309  0.1782811262
+## History                                       -0.078149542 -0.1370863120
+## Instructional.Technology.and.Media            -0.035995347 -0.0114302311
+## Intellectual.Disability.Autism                -0.127392850  0.2135810235
+## International.and.Comparative.Education       -0.088086682  0.1298432339
+## Kinesiology                                    0.225125971 -0.0434823130
+## Learning.Analytics                            -0.169442561 -0.0346347926
+## Literacy                                       0.094430529 -0.0294954807
+## Mathematics                                    0.033539694 -0.0537782736
+## Measurement..Evaluation.and.Statistics        -0.145626053  0.0152594131
+## Motor.Learning.and.Control                    -0.011278577  0.0129770393
+## Movement.Science                               0.072183801 -0.0828947900
+## Music                                          0.023389804  0.2091628124
+## Neuroscience                                   0.150505099 -0.0126612009
+## Nutrition                                     -0.022273653 -0.0767316600
+## Leadership                                     0.079722814  0.0686598346
+## Philosophy                                    -0.018355663  0.0731809452
+## Physical.Education                            -0.193431379 -0.0742162511
+## Politics                                      -0.019385761 -0.0560884408
+## Private.School.Leadership                      0.012891285 -0.1764636060
+## Psychological.Counseling                       0.205785072 -0.1097703476
+## Psychology                                     0.038110844  0.0497368566
+## Reading                                       -0.109463015 -0.1335012691
+## School.Psychology                              0.046237386 -0.0957675706
+## Science.Education                             -0.032061009  0.1039858776
+## Sexuality..Women.and.Gender.in.Psychology      0.182958485  0.2832425334
+## Social.Organizational.Psychology              -0.108825141  0.1865796589
+## Sociology                                     -0.018750895 -0.1108507482
+## Spirituality.Mind.Body                         0.336450424 -0.0383690415
+## School.Principals                             -0.159754399 -0.2566071077
+## Urban.Education                                0.003334697 -0.0844226307
+## Counseling.Psychology                         -0.035705042  0.0691580922
+## Communication.Media.and.Learning.Technologies -0.014850648  0.0221167226
+##                                                       PC35         PC36
+## Adult.Education                               -0.252310676  0.163622584
+## Anthropology                                  -0.106880084 -0.158262132
+## Social.Studies                                -0.040951870 -0.039738968
+## Physiology                                    -0.114037799  0.175153317
+## Behavior.Analysis                              0.087834469 -0.170812639
+## Linguistics                                   -0.096057184  0.049029500
+## Art.Education                                 -0.018395512  0.179076792
+## Teaching.English                               0.045782968 -0.074089976
+## Arts.Administration                            0.158151472  0.210155552
+## Bilingual.Bicultural.Education                -0.073132079 -0.088725097
+## Clinical.Psychology                            0.200165392  0.048924511
+## Cognitive.Science                             -0.025324589  0.058480999
+## College.Advising                               0.122453768 -0.104919798
+## Communication.Sciences.and.Disorders           0.027155469 -0.088792735
+## Cooperation.and.Conflict.Resolution           -0.094767360 -0.064452954
+## Creative.Technologies                          0.154509594 -0.078389687
+## Curriculum.and.Teaching                       -0.003950309 -0.011553445
+## Dance.Education                               -0.193439408 -0.027680380
+## Deaf.and.Hard.of.Hearing                       0.062281593  0.067320622
+## Design.and.Development.of.Digital.Games        0.008916418 -0.054049686
+## Developmental.Psychology                      -0.099651345  0.201714536
+## Diabetes.Education                            -0.258204462  0.012208886
+## Early.Childhood.Education                      0.086671809 -0.042638510
+## Early.Childhood.Special.Education             -0.059232143  0.080472135
+## Economics.and.Education                       -0.049752915 -0.095399081
+## Education.Technology                          -0.035201271 -0.196316586
+## Education.Leadership                          -0.003855265  0.065254346
+## Education.Policy                               0.096773608 -0.145802764
+## Inclusive.Education                           -0.085519004  0.056917078
+## English.Education                             -0.041169178 -0.014701145
+## Change.Leadership                             -0.092970281 -0.109676934
+## Nursing                                        0.053545357 -0.186326239
+## Gifted.Education                               0.152905341  0.228803250
+## Health.Education                              -0.074701874 -0.227462433
+## Higher.and.Postsecondary.Education            -0.222823078  0.053065033
+## History                                       -0.026748855  0.089435273
+## Instructional.Technology.and.Media            -0.023139946 -0.042574189
+## Intellectual.Disability.Autism                -0.035261644 -0.129430229
+## International.and.Comparative.Education       -0.074773472  0.266835191
+## Kinesiology                                    0.087376608  0.090864567
+## Learning.Analytics                             0.295941564  0.015358180
+## Literacy                                       0.065097311  0.019771131
+## Mathematics                                   -0.071904861  0.029286799
+## Measurement..Evaluation.and.Statistics        -0.260555528  0.002057909
+## Motor.Learning.and.Control                     0.093324129  0.038057098
+## Movement.Science                               0.100536853 -0.182991318
+## Music                                         -0.014554133  0.174476764
+## Neuroscience                                  -0.036236230  0.134286215
+## Nutrition                                      0.152891713  0.072577087
+## Leadership                                     0.058854348  0.085734204
+## Philosophy                                     0.142151364 -0.220997108
+## Physical.Education                            -0.219815087 -0.173434678
+## Politics                                       0.088908686 -0.113875353
+## Private.School.Leadership                      0.088414700  0.112573520
+## Psychological.Counseling                       0.134899127 -0.023618312
+## Psychology                                     0.039397074  0.013434874
+## Reading                                        0.136847762  0.077771289
+## School.Psychology                             -0.049095312  0.107788475
+## Science.Education                              0.056537778 -0.236639983
+## Sexuality..Women.and.Gender.in.Psychology      0.124265275  0.034535544
+## Social.Organizational.Psychology               0.086991738  0.103186038
+## Sociology                                     -0.126847294  0.109627992
+## Spirituality.Mind.Body                        -0.195037042 -0.082221130
+## School.Principals                             -0.030343407 -0.211904693
+## Urban.Education                               -0.040080309 -0.064234980
+## Counseling.Psychology                          0.173055020 -0.011140243
+## Communication.Media.and.Learning.Technologies -0.253456628 -0.098584097
+##                                                       PC37         PC38
+## Adult.Education                                0.293492860 -0.111857109
+## Anthropology                                   0.030766694 -0.062009140
+## Social.Studies                                 0.216051161  0.132227412
+## Physiology                                     0.200220901 -0.028308094
+## Behavior.Analysis                              0.177999946  0.248385784
+## Linguistics                                   -0.025308432 -0.066967134
+## Art.Education                                  0.031653082  0.140478564
+## Teaching.English                               0.044925439 -0.039500155
+## Arts.Administration                           -0.002328994 -0.250532898
+## Bilingual.Bicultural.Education                -0.102737167  0.040623011
+## Clinical.Psychology                            0.013349073 -0.012684653
+## Cognitive.Science                              0.054997087  0.167732487
+## College.Advising                               0.169631784  0.259845169
+## Communication.Sciences.and.Disorders           0.031408205  0.103844976
+## Cooperation.and.Conflict.Resolution           -0.072902953  0.046335554
+## Creative.Technologies                         -0.109672255 -0.121684648
+## Curriculum.and.Teaching                       -0.028004168 -0.101180672
+## Dance.Education                                0.051696912 -0.039952053
+## Deaf.and.Hard.of.Hearing                      -0.002916264 -0.038936684
+## Design.and.Development.of.Digital.Games        0.146160662 -0.052645660
+## Developmental.Psychology                      -0.173592598 -0.037579704
+## Diabetes.Education                             0.113643789  0.045410029
+## Early.Childhood.Education                      0.057281108  0.067577720
+## Early.Childhood.Special.Education             -0.134145236  0.083983229
+## Economics.and.Education                       -0.198150504  0.046441000
+## Education.Technology                          -0.265404720  0.159870549
+## Education.Leadership                           0.048163116 -0.060919244
+## Education.Policy                               0.042205184 -0.066840521
+## Inclusive.Education                            0.101662173  0.058137582
+## English.Education                             -0.079127917 -0.075898955
+## Change.Leadership                             -0.147934594  0.138338695
+## Nursing                                        0.139851030 -0.025359522
+## Gifted.Education                               0.126975573  0.111535214
+## Health.Education                              -0.055232213 -0.009324987
+## Higher.and.Postsecondary.Education            -0.012669863  0.005689430
+## History                                       -0.036496338  0.162636320
+## Instructional.Technology.and.Media            -0.117965583  0.034803640
+## Intellectual.Disability.Autism                -0.178601919  0.192118650
+## International.and.Comparative.Education        0.143057682 -0.125343849
+## Kinesiology                                   -0.040867176 -0.141458371
+## Learning.Analytics                            -0.025003972  0.112962755
+## Literacy                                      -0.067699147  0.126837222
+## Mathematics                                    0.001977426 -0.148364716
+## Measurement..Evaluation.and.Statistics         0.238353436  0.047931787
+## Motor.Learning.and.Control                    -0.045189780  0.049576220
+## Movement.Science                               0.044291296 -0.079866499
+## Music                                         -0.170406132  0.142845046
+## Neuroscience                                  -0.101045529 -0.033577323
+## Nutrition                                      0.003015102  0.029281156
+## Leadership                                     0.069248546 -0.095968432
+## Philosophy                                     0.086819280 -0.128634092
+## Physical.Education                             0.010105160 -0.060698708
+## Politics                                       0.020688093  0.119874135
+## Private.School.Leadership                      0.057243438  0.036625071
+## Psychological.Counseling                       0.219368956  0.061241963
+## Psychology                                    -0.087698352 -0.143621026
+## Reading                                        0.007962547 -0.035050957
+## School.Psychology                             -0.137253419  0.303257767
+## Science.Education                              0.131047912 -0.078560842
+## Sexuality..Women.and.Gender.in.Psychology      0.037629614 -0.059783625
+## Social.Organizational.Psychology              -0.074982423 -0.065915162
+## Sociology                                     -0.282838278 -0.012143709
+## Spirituality.Mind.Body                         0.008334944 -0.126353991
+## School.Principals                             -0.085639387 -0.402189184
+## Urban.Education                                0.269160336  0.153363224
+## Counseling.Psychology                         -0.002108631 -0.133844525
+## Communication.Media.and.Learning.Technologies  0.010821259  0.022982075
+##                                                       PC39         PC40
+## Adult.Education                               -0.088054583 -0.090877384
+## Anthropology                                   0.060186087  0.090897809
+## Social.Studies                                -0.085778349  0.046792376
+## Physiology                                     0.151981380 -0.107961590
+## Behavior.Analysis                              0.183503805 -0.024404212
+## Linguistics                                    0.158118671 -0.168101976
+## Art.Education                                 -0.013723471 -0.293296226
+## Teaching.English                               0.105372648 -0.025605536
+## Arts.Administration                            0.087555072 -0.054199472
+## Bilingual.Bicultural.Education                -0.077028853 -0.063757352
+## Clinical.Psychology                           -0.004877399 -0.104053581
+## Cognitive.Science                              0.055287841  0.055288216
+## College.Advising                              -0.013442224 -0.118107885
+## Communication.Sciences.and.Disorders          -0.060042219  0.311943293
+## Cooperation.and.Conflict.Resolution           -0.060132064 -0.035964216
+## Creative.Technologies                          0.170965002 -0.106940639
+## Curriculum.and.Teaching                        0.231526431 -0.111144204
+## Dance.Education                               -0.080573578  0.105672571
+## Deaf.and.Hard.of.Hearing                      -0.065500671 -0.163109379
+## Design.and.Development.of.Digital.Games        0.117819402  0.269233800
+## Developmental.Psychology                       0.119619054  0.136292522
+## Diabetes.Education                             0.234270607 -0.029184908
+## Early.Childhood.Education                      0.151530932 -0.199517063
+## Early.Childhood.Special.Education              0.015806597  0.022357853
+## Economics.and.Education                        0.029832322  0.053347275
+## Education.Technology                          -0.001285066 -0.091522710
+## Education.Leadership                          -0.132724012  0.020442573
+## Education.Policy                               0.388004813  0.023875497
+## Inclusive.Education                           -0.147981993 -0.003236721
+## English.Education                             -0.241300745 -0.007679109
+## Change.Leadership                             -0.183437041 -0.032626350
+## Nursing                                        0.013338813 -0.009472267
+## Gifted.Education                              -0.204454618  0.164590788
+## Health.Education                              -0.075617349  0.076649818
+## Higher.and.Postsecondary.Education             0.150342434  0.037256890
+## History                                       -0.030778045 -0.016752736
+## Instructional.Technology.and.Media            -0.007695293  0.120813829
+## Intellectual.Disability.Autism                -0.102104772 -0.141311247
+## International.and.Comparative.Education        0.059144136 -0.009947363
+## Kinesiology                                   -0.092247580 -0.123320716
+## Learning.Analytics                            -0.014156788 -0.201202386
+## Literacy                                      -0.081955266 -0.104796517
+## Mathematics                                    0.020467617  0.069855426
+## Measurement..Evaluation.and.Statistics        -0.119378582 -0.038731836
+## Motor.Learning.and.Control                     0.088700025 -0.171104889
+## Movement.Science                               0.161325524  0.228554735
+## Music                                          0.054556558  0.135012065
+## Neuroscience                                  -0.117875934 -0.133325962
+## Nutrition                                     -0.107528802  0.158905760
+## Leadership                                     0.022638338  0.042367056
+## Philosophy                                    -0.285623092  0.058565548
+## Physical.Education                            -0.004734468 -0.170817377
+## Politics                                       0.152984170 -0.164589484
+## Private.School.Leadership                     -0.064571330  0.152784125
+## Psychological.Counseling                       0.059322687 -0.034060071
+## Psychology                                    -0.133252840 -0.097061423
+## Reading                                        0.099652781  0.203891247
+## School.Psychology                              0.154776977  0.224603037
+## Science.Education                              0.002556050  0.028071320
+## Sexuality..Women.and.Gender.in.Psychology     -0.011446371 -0.009459377
+## Social.Organizational.Psychology               0.016644452 -0.002067366
+## Sociology                                      0.138025772  0.128810194
+## Spirituality.Mind.Body                         0.092177378 -0.099601570
+## School.Principals                             -0.091452612  0.004086935
+## Urban.Education                               -0.037109864  0.054111971
+## Counseling.Psychology                          0.034350342  0.102623067
+## Communication.Media.and.Learning.Technologies  0.001249080  0.004688989
+##                                                        PC41          PC42
+## Adult.Education                                0.0391016655  0.0742289888
+## Anthropology                                  -0.1005129586 -0.0205583444
+## Social.Studies                                -0.3502959499  0.0860155647
+## Physiology                                     0.1169910306 -0.1985058508
+## Behavior.Analysis                              0.1117705507  0.2172080064
+## Linguistics                                    0.0059335670  0.0061314646
+## Art.Education                                 -0.1963596565 -0.1645073726
+## Teaching.English                              -0.0692975326  0.0017801491
+## Arts.Administration                           -0.0679086022 -0.0329405373
+## Bilingual.Bicultural.Education                 0.2112300831  0.1198786631
+## Clinical.Psychology                           -0.0940456266 -0.1470412335
+## Cognitive.Science                              0.0449742245 -0.1083548309
+## College.Advising                              -0.0646436524 -0.0369201010
+## Communication.Sciences.and.Disorders          -0.0478765693 -0.1235246521
+## Cooperation.and.Conflict.Resolution            0.0007943049 -0.0330604085
+## Creative.Technologies                          0.0495040601  0.2027963673
+## Curriculum.and.Teaching                       -0.0494350194  0.0700555594
+## Dance.Education                                0.0283119719  0.2082640604
+## Deaf.and.Hard.of.Hearing                      -0.0462415164  0.0371007542
+## Design.and.Development.of.Digital.Games        0.0126016651 -0.2261495780
+## Developmental.Psychology                       0.0491599743  0.0299656196
+## Diabetes.Education                             0.1167524665 -0.2445617344
+## Early.Childhood.Education                     -0.1334615063  0.1626494752
+## Early.Childhood.Special.Education             -0.1380484528 -0.1280685371
+## Economics.and.Education                       -0.0830370562  0.1468856115
+## Education.Technology                          -0.1872489459 -0.2437991196
+## Education.Leadership                           0.0849767563  0.2353710169
+## Education.Policy                              -0.0862922944  0.0481270699
+## Inclusive.Education                           -0.1150913945  0.0006641357
+## English.Education                             -0.0313590568 -0.0248203149
+## Change.Leadership                              0.0530103844 -0.1745081734
+## Nursing                                       -0.1053417833  0.0923898384
+## Gifted.Education                               0.1843581668  0.1593200493
+## Health.Education                              -0.0119691846  0.0560255147
+## Higher.and.Postsecondary.Education            -0.1967745645 -0.0640120858
+## History                                        0.0809135154  0.0877450090
+## Instructional.Technology.and.Media            -0.3168529129  0.1298539807
+## Intellectual.Disability.Autism                 0.0729958993  0.0508716663
+## International.and.Comparative.Education       -0.0545055397  0.0319768442
+## Kinesiology                                   -0.1864888607  0.1338415850
+## Learning.Analytics                             0.0979681958  0.0204049631
+## Literacy                                       0.1468042134  0.0546433670
+## Mathematics                                   -0.1779282648  0.0560487461
+## Measurement..Evaluation.and.Statistics         0.0682800432  0.1503272150
+## Motor.Learning.and.Control                     0.1295641897  0.0854429253
+## Movement.Science                              -0.0137701849  0.1054861642
+## Music                                         -0.0012644636  0.0430254464
+## Neuroscience                                  -0.0429978964 -0.0078028727
+## Nutrition                                     -0.1928201369  0.0798698261
+## Leadership                                    -0.0642205024  0.0157546701
+## Philosophy                                     0.0600352366 -0.1161469463
+## Physical.Education                             0.0066950048  0.0041622855
+## Politics                                       0.0476564553 -0.1392142358
+## Private.School.Leadership                     -0.0230186418 -0.2710738521
+## Psychological.Counseling                       0.2385759487  0.0522510555
+## Psychology                                    -0.1054425627  0.0229616411
+## Reading                                        0.1225335144 -0.0385100987
+## School.Psychology                              0.0949746329  0.0562789989
+## Science.Education                             -0.0759571610 -0.0007199544
+## Sexuality..Women.and.Gender.in.Psychology      0.0423699816 -0.2088054766
+## Social.Organizational.Psychology              -0.0977647011 -0.0283630202
+## Sociology                                      0.0651469578  0.2126759793
+## Spirituality.Mind.Body                        -0.0332074673  0.0682698329
+## School.Principals                              0.2435873185 -0.0823092259
+## Urban.Education                               -0.1613401597  0.1020880407
+## Counseling.Psychology                          0.0337540604 -0.0988080770
+## Communication.Media.and.Learning.Technologies  0.1608698202 -0.1107905128
+##                                                       PC43         PC44
+## Adult.Education                                0.186907981 -0.006156102
+## Anthropology                                  -0.032680753  0.040744563
+## Social.Studies                                 0.069177799  0.221309903
+## Physiology                                    -0.025528960 -0.081386409
+## Behavior.Analysis                              0.004191675 -0.249127024
+## Linguistics                                    0.093010465 -0.165185392
+## Art.Education                                  0.029813901  0.130766281
+## Teaching.English                               0.048297989  0.086837969
+## Arts.Administration                           -0.060193467 -0.025130584
+## Bilingual.Bicultural.Education                -0.303593266  0.131573445
+## Clinical.Psychology                           -0.037279651  0.074256542
+## Cognitive.Science                             -0.103681710 -0.064250064
+## College.Advising                              -0.194994921 -0.057891393
+## Communication.Sciences.and.Disorders          -0.201402553  0.273500814
+## Cooperation.and.Conflict.Resolution            0.183748443 -0.040846961
+## Creative.Technologies                          0.019035877  0.080206690
+## Curriculum.and.Teaching                        0.070722121  0.063734191
+## Dance.Education                               -0.098696966 -0.214808264
+## Deaf.and.Hard.of.Hearing                      -0.099306114 -0.098371015
+## Design.and.Development.of.Digital.Games       -0.025997898 -0.055389989
+## Developmental.Psychology                      -0.032089127 -0.068086187
+## Diabetes.Education                            -0.004109087  0.180040430
+## Early.Childhood.Education                     -0.125908236 -0.082980045
+## Early.Childhood.Special.Education              0.167845653  0.076692814
+## Economics.and.Education                        0.124909704 -0.159310321
+## Education.Technology                           0.178312857 -0.094563979
+## Education.Leadership                           0.101922655  0.169886934
+## Education.Policy                              -0.125733457  0.100020069
+## Inclusive.Education                            0.130741235  0.079309007
+## English.Education                              0.054236665 -0.146098916
+## Change.Leadership                              0.046039131 -0.047580979
+## Nursing                                        0.332011142 -0.090425244
+## Gifted.Education                               0.120244691 -0.047562552
+## Health.Education                               0.028884378 -0.088017239
+## Higher.and.Postsecondary.Education            -0.089692731 -0.113267419
+## History                                       -0.013728422  0.070954290
+## Instructional.Technology.and.Media            -0.011023823 -0.085725606
+## Intellectual.Disability.Autism                 0.036175465  0.172087640
+## International.and.Comparative.Education        0.215530236  0.084180800
+## Kinesiology                                   -0.076337770  0.250580726
+## Learning.Analytics                             0.183758642  0.060366680
+## Literacy                                       0.091126465  0.213148677
+## Mathematics                                    0.003556447 -0.008530446
+## Measurement..Evaluation.and.Statistics        -0.118680116  0.081867145
+## Motor.Learning.and.Control                    -0.152720010  0.158732775
+## Movement.Science                               0.164983602  0.116984139
+## Music                                          0.059459180 -0.022957822
+## Neuroscience                                  -0.169721363  0.002407648
+## Nutrition                                      0.050911908 -0.022425665
+## Leadership                                    -0.027529788  0.022587508
+## Philosophy                                    -0.090836273 -0.099530014
+## Physical.Education                             0.116917401  0.032695227
+## Politics                                       0.043090440 -0.021315776
+## Private.School.Leadership                     -0.223320643 -0.083649661
+## Psychological.Counseling                       0.034704146 -0.261734880
+## Psychology                                    -0.038713796 -0.125098956
+## Reading                                        0.254108018  0.016067260
+## School.Psychology                              0.061840703  0.099694921
+## Science.Education                             -0.024256764  0.134914735
+## Sexuality..Women.and.Gender.in.Psychology      0.180722432 -0.009689950
+## Social.Organizational.Psychology              -0.127917308 -0.258370900
+## Sociology                                     -0.097181260  0.048162912
+## Spirituality.Mind.Body                        -0.085478529 -0.027204009
+## School.Principals                             -0.003217558  0.108049144
+## Urban.Education                               -0.104375723  0.068593098
+## Counseling.Psychology                         -0.019136097  0.189014318
+## Communication.Media.and.Learning.Technologies  0.087590723  0.082760132
+##                                                        PC45         PC46
+## Adult.Education                               -0.1375233377  0.006649389
+## Anthropology                                   0.0179267952  0.140226384
+## Social.Studies                                 0.0382126245 -0.020570217
+## Physiology                                    -0.0531814498  0.002053699
+## Behavior.Analysis                              0.3078486503  0.070598476
+## Linguistics                                    0.0419251080  0.037499579
+## Art.Education                                  0.1200528787 -0.245957357
+## Teaching.English                              -0.2276120262 -0.083460892
+## Arts.Administration                            0.2674235569 -0.202025958
+## Bilingual.Bicultural.Education                 0.0649546431 -0.192515858
+## Clinical.Psychology                           -0.0167396415 -0.057122997
+## Cognitive.Science                              0.0999505008  0.165610446
+## College.Advising                              -0.0886549656  0.055239567
+## Communication.Sciences.and.Disorders           0.0005739029 -0.065745983
+## Cooperation.and.Conflict.Resolution            0.0931517965  0.150120634
+## Creative.Technologies                         -0.1089726447  0.171098218
+## Curriculum.and.Teaching                        0.0151531812 -0.003108921
+## Dance.Education                               -0.2237725169  0.009384882
+## Deaf.and.Hard.of.Hearing                      -0.1169018039  0.132710890
+## Design.and.Development.of.Digital.Games        0.0358290702 -0.153801297
+## Developmental.Psychology                      -0.2985631057 -0.102282477
+## Diabetes.Education                             0.0603088065 -0.021036486
+## Early.Childhood.Education                     -0.1592279959  0.151539270
+## Early.Childhood.Special.Education              0.1138947491  0.035450669
+## Economics.and.Education                        0.0782532974 -0.218686816
+## Education.Technology                          -0.1436547306 -0.016387532
+## Education.Leadership                           0.1529339344 -0.056255818
+## Education.Policy                               0.1207460410 -0.036694652
+## Inclusive.Education                           -0.1378188574  0.208081464
+## English.Education                              0.1060798127 -0.189992514
+## Change.Leadership                              0.0255274017 -0.064107891
+## Nursing                                       -0.0398664181 -0.026865797
+## Gifted.Education                               0.0167792846  0.118656965
+## Health.Education                              -0.1572614168 -0.201213516
+## Higher.and.Postsecondary.Education             0.0259679338  0.112053342
+## History                                       -0.2502004048  0.014345500
+## Instructional.Technology.and.Media             0.0540149576 -0.034620539
+## Intellectual.Disability.Autism                 0.0897838879 -0.074131875
+## International.and.Comparative.Education        0.0537033266 -0.096201715
+## Kinesiology                                   -0.0093321970  0.111853398
+## Learning.Analytics                            -0.1682367009 -0.151019656
+## Literacy                                       0.1402541855  0.208745367
+## Mathematics                                    0.0093997184 -0.039244214
+## Measurement..Evaluation.and.Statistics         0.0609093408  0.061553758
+## Motor.Learning.and.Control                    -0.1210029210 -0.084592286
+## Movement.Science                              -0.0007374364  0.176564790
+## Music                                          0.1234738621  0.140474227
+## Neuroscience                                   0.0143707772  0.015515790
+## Nutrition                                      0.0156495594 -0.021709121
+## Leadership                                    -0.2408260586 -0.140925694
+## Philosophy                                    -0.0527749181  0.040472722
+## Physical.Education                             0.2052237503 -0.055010198
+## Politics                                      -0.0638062517  0.140512341
+## Private.School.Leadership                      0.0859524896  0.146485550
+## Psychological.Counseling                       0.0732783955 -0.323387579
+## Psychology                                     0.0419367397 -0.038813166
+## Reading                                       -0.0072994477 -0.018774385
+## School.Psychology                             -0.1720254647 -0.074558918
+## Science.Education                             -0.0252364455 -0.090236747
+## Sexuality..Women.and.Gender.in.Psychology     -0.0469315534  0.178635263
+## Social.Organizational.Psychology              -0.0206491773  0.117129879
+## Sociology                                      0.1301504103 -0.003114033
+## Spirituality.Mind.Body                        -0.1408092323  0.001258967
+## School.Principals                              0.0584016057  0.189581228
+## Urban.Education                                0.0206381753 -0.081032190
+## Counseling.Psychology                         -0.0824381918 -0.143968477
+## Communication.Media.and.Learning.Technologies -0.1399706252 -0.062657344
+##                                                       PC47         PC48
+## Adult.Education                                0.081615972  0.014969729
+## Anthropology                                  -0.042874136  0.106160552
+## Social.Studies                                -0.178681211 -0.033196539
+## Physiology                                    -0.003010993 -0.106564547
+## Behavior.Analysis                             -0.115995982  0.153463216
+## Linguistics                                    0.104825143  0.043024944
+## Art.Education                                 -0.044345697  0.055798502
+## Teaching.English                              -0.097731828  0.054205357
+## Arts.Administration                           -0.012880085 -0.108046667
+## Bilingual.Bicultural.Education                -0.110943262  0.106166895
+## Clinical.Psychology                           -0.168608229 -0.044542356
+## Cognitive.Science                              0.140890499  0.085257720
+## College.Advising                              -0.023650935  0.120967260
+## Communication.Sciences.and.Disorders          -0.038723039 -0.126763175
+## Cooperation.and.Conflict.Resolution           -0.112350365  0.175022125
+## Creative.Technologies                         -0.114471894  0.158277008
+## Curriculum.and.Teaching                        0.049139681 -0.028674353
+## Dance.Education                                0.084509153 -0.137432084
+## Deaf.and.Hard.of.Hearing                      -0.150558360 -0.180287728
+## Design.and.Development.of.Digital.Games       -0.074340911  0.064442454
+## Developmental.Psychology                      -0.065305525  0.134772979
+## Diabetes.Education                             0.002812919  0.240097983
+## Early.Childhood.Education                     -0.079541779 -0.295667074
+## Early.Childhood.Special.Education              0.117573703 -0.142281572
+## Economics.and.Education                       -0.149828373 -0.043687538
+## Education.Technology                           0.067194653  0.095676936
+## Education.Leadership                           0.119055072 -0.107051170
+## Education.Policy                               0.465898838 -0.136800578
+## Inclusive.Education                            0.085415920 -0.013555659
+## English.Education                              0.137337888  0.228841879
+## Change.Leadership                             -0.099560632 -0.158519864
+## Nursing                                        0.259505613  0.014309679
+## Gifted.Education                              -0.075936786  0.153959964
+## Health.Education                              -0.120937859  0.010866597
+## Higher.and.Postsecondary.Education             0.083027086  0.111270832
+## History                                        0.135399839 -0.035756317
+## Instructional.Technology.and.Media             0.126056481 -0.065629602
+## Intellectual.Disability.Autism                 0.198350175  0.029032885
+## International.and.Comparative.Education       -0.093068135 -0.031079290
+## Kinesiology                                    0.028659796  0.033083035
+## Learning.Analytics                             0.006869561 -0.028372700
+## Literacy                                      -0.027853938 -0.107783428
+## Mathematics                                   -0.153389045 -0.075203639
+## Measurement..Evaluation.and.Statistics         0.060273975 -0.097114517
+## Motor.Learning.and.Control                     0.189848854  0.235980608
+## Movement.Science                              -0.002225714 -0.041724864
+## Music                                          0.072856486  0.030515450
+## Neuroscience                                   0.168206519  0.033263857
+## Nutrition                                      0.071010414  0.131607856
+## Leadership                                     0.145124952  0.208853360
+## Philosophy                                     0.258453060 -0.142033697
+## Physical.Education                             0.016978168 -0.054952180
+## Politics                                      -0.098679298 -0.084396441
+## Private.School.Leadership                      0.040128242 -0.137201732
+## Psychological.Counseling                       0.033277441 -0.129793428
+## Psychology                                     0.072421414  0.058781921
+## Reading                                       -0.001511294 -0.037176460
+## School.Psychology                              0.113636999 -0.041418248
+## Science.Education                             -0.191117736  0.031367547
+## Sexuality..Women.and.Gender.in.Psychology     -0.071699170  0.097338908
+## Social.Organizational.Psychology              -0.011526339  0.109226154
+## Sociology                                     -0.168578681 -0.065849525
+## Spirituality.Mind.Body                        -0.087112922 -0.001818884
+## School.Principals                              0.011403892  0.182787689
+## Urban.Education                                0.006116297  0.293954208
+## Counseling.Psychology                          0.036438672 -0.031679680
+## Communication.Media.and.Learning.Technologies  0.014204338 -0.233124996
+##                                                       PC49         PC50
+## Adult.Education                                0.100251820  0.020590736
+## Anthropology                                   0.000228099  0.093904586
+## Social.Studies                                -0.217893054 -0.150700711
+## Physiology                                    -0.107310660 -0.057677308
+## Behavior.Analysis                             -0.119441623 -0.050875617
+## Linguistics                                   -0.038917850  0.045797496
+## Art.Education                                  0.131767242  0.066678693
+## Teaching.English                              -0.201261255 -0.246879542
+## Arts.Administration                           -0.317824427  0.133640741
+## Bilingual.Bicultural.Education                 0.170281485  0.048454658
+## Clinical.Psychology                            0.127453284  0.022465916
+## Cognitive.Science                             -0.106909752 -0.132267434
+## College.Advising                               0.119756784  0.093463926
+## Communication.Sciences.and.Disorders           0.135443866  0.078421043
+## Cooperation.and.Conflict.Resolution           -0.120378909  0.167695552
+## Creative.Technologies                         -0.009965582 -0.054587879
+## Curriculum.and.Teaching                        0.087709744  0.229286795
+## Dance.Education                                0.002939880 -0.203168159
+## Deaf.and.Hard.of.Hearing                       0.026152278  0.255957102
+## Design.and.Development.of.Digital.Games        0.145455997 -0.109810989
+## Developmental.Psychology                      -0.087419687  0.245657764
+## Diabetes.Education                            -0.072661377 -0.037946467
+## Early.Childhood.Education                     -0.014474265 -0.083221386
+## Early.Childhood.Special.Education             -0.154883720 -0.170490013
+## Economics.and.Education                       -0.036564595 -0.134957227
+## Education.Technology                          -0.050328163 -0.050493210
+## Education.Leadership                          -0.118367655 -0.017000584
+## Education.Policy                               0.157756425  0.150627284
+## Inclusive.Education                           -0.043378781  0.006047478
+## English.Education                              0.046480293  0.087885751
+## Change.Leadership                             -0.114661657  0.193926595
+## Nursing                                        0.141788474  0.040749668
+## Gifted.Education                               0.126669280  0.248920642
+## Health.Education                              -0.028656959 -0.087396197
+## Higher.and.Postsecondary.Education             0.146869006  0.071383543
+## History                                       -0.114058449 -0.004657477
+## Instructional.Technology.and.Media            -0.207968247  0.275636175
+## Intellectual.Disability.Autism                 0.006484290 -0.121653049
+## International.and.Comparative.Education        0.110124566 -0.159131944
+## Kinesiology                                   -0.002588688 -0.104040907
+## Learning.Analytics                             0.173126376 -0.043188489
+## Literacy                                       0.164480359 -0.111238678
+## Mathematics                                    0.198574906 -0.148036999
+## Measurement..Evaluation.and.Statistics        -0.116132509  0.114808275
+## Motor.Learning.and.Control                    -0.157127700 -0.027492918
+## Movement.Science                               0.031251310  0.078211233
+## Music                                          0.098524292 -0.198719906
+## Neuroscience                                   0.072402951 -0.072175697
+## Nutrition                                      0.169397592 -0.018835051
+## Leadership                                     0.061246041 -0.072036248
+## Philosophy                                    -0.009318152 -0.027629472
+## Physical.Education                             0.276211250 -0.010285446
+## Politics                                       0.010086028 -0.048943905
+## Private.School.Leadership                      0.019693216 -0.164070598
+## Psychological.Counseling                      -0.045115236 -0.102608833
+## Psychology                                     0.058138961 -0.136529434
+## Reading                                        0.021786957 -0.029589229
+## School.Psychology                              0.003977804 -0.020508696
+## Science.Education                              0.047278878  0.093229165
+## Sexuality..Women.and.Gender.in.Psychology      0.036184345  0.129022359
+## Social.Organizational.Psychology               0.204055887 -0.127394481
+## Sociology                                      0.150533904 -0.035698479
+## Spirituality.Mind.Body                         0.047472099 -0.039149702
+## School.Principals                             -0.119095186 -0.161087967
+## Urban.Education                               -0.004677245 -0.045790825
+## Counseling.Psychology                         -0.127835333  0.038518881
+## Communication.Media.and.Learning.Technologies  0.179786130  0.088486466
+##                                                        PC51          PC52
+## Adult.Education                               -0.1686717309 -0.0522221761
+## Anthropology                                   0.0637241210 -0.0411496997
+## Social.Studies                                -0.0539116916 -0.0434682008
+## Physiology                                     0.2490316582  0.0628662087
+## Behavior.Analysis                             -0.0195167405 -0.0281830632
+## Linguistics                                    0.0008682483 -0.0220584932
+## Art.Education                                  0.0029295569 -0.0444792712
+## Teaching.English                              -0.0402135513 -0.0809939282
+## Arts.Administration                            0.0115557811  0.0209114484
+## Bilingual.Bicultural.Education                 0.2297127755  0.1816245276
+## Clinical.Psychology                            0.1990107204 -0.1275186110
+## Cognitive.Science                             -0.0793432665  0.1547588487
+## College.Advising                               0.0907684792 -0.1621573564
+## Communication.Sciences.and.Disorders          -0.2519015669  0.0933036376
+## Cooperation.and.Conflict.Resolution           -0.0232717707  0.0519140678
+## Creative.Technologies                         -0.0440410345 -0.1636754827
+## Curriculum.and.Teaching                       -0.1221415820  0.0796048057
+## Dance.Education                               -0.1905159000  0.2008485795
+## Deaf.and.Hard.of.Hearing                       0.1098549132 -0.1464853273
+## Design.and.Development.of.Digital.Games        0.1879413406 -0.0422462827
+## Developmental.Psychology                      -0.1552012220  0.0576860964
+## Diabetes.Education                             0.0712734494 -0.0729748869
+## Early.Childhood.Education                     -0.0888691140 -0.0228185940
+## Early.Childhood.Special.Education              0.1121713664  0.1962471660
+## Economics.and.Education                        0.1227928704  0.0947876694
+## Education.Technology                           0.0370869384 -0.1656247771
+## Education.Leadership                          -0.0399609840 -0.0473567751
+## Education.Policy                              -0.0521449433 -0.0002306405
+## Inclusive.Education                            0.2573241127  0.1883867311
+## English.Education                             -0.0044511099  0.1516503585
+## Change.Leadership                             -0.0826003701 -0.0410792094
+## Nursing                                        0.1296689374  0.1161546626
+## Gifted.Education                               0.0793705627 -0.0852011523
+## Health.Education                              -0.0944833873 -0.1050837807
+## Higher.and.Postsecondary.Education             0.0503560757 -0.0429418072
+## History                                        0.3066014587  0.1266790120
+## Instructional.Technology.and.Media             0.1515744098 -0.0992319101
+## Intellectual.Disability.Autism                -0.0201108922 -0.0235978541
+## International.and.Comparative.Education        0.0502098439  0.0492475465
+## Kinesiology                                   -0.0408585987 -0.0994852152
+## Learning.Analytics                            -0.0807429794  0.1246978894
+## Literacy                                       0.1065409402 -0.0589062786
+## Mathematics                                    0.1856528362  0.1777733479
+## Measurement..Evaluation.and.Statistics         0.0532774507 -0.0679034615
+## Motor.Learning.and.Control                     0.1008386095  0.1711733298
+## Movement.Science                               0.1315815405  0.1031982102
+## Music                                          0.0312365266 -0.2306929609
+## Neuroscience                                  -0.2085598604  0.0040468748
+## Nutrition                                     -0.1148305314  0.0694267230
+## Leadership                                     0.1149697135 -0.2368903051
+## Philosophy                                     0.2112091059 -0.1377109319
+## Physical.Education                            -0.1006999827 -0.1303763617
+## Politics                                      -0.1409791806  0.2806659574
+## Private.School.Leadership                     -0.0964049844 -0.0753205073
+## Psychological.Counseling                      -0.0049652770 -0.0766024856
+## Psychology                                    -0.0191182032 -0.0491566162
+## Reading                                       -0.0599715632 -0.2420751080
+## School.Psychology                              0.0149876424 -0.1242566972
+## Science.Education                              0.1064229873  0.1858910907
+## Sexuality..Women.and.Gender.in.Psychology     -0.1885833677  0.1721853540
+## Social.Organizational.Psychology               0.0750792767  0.1886060501
+## Sociology                                      0.0930954361  0.0212935060
+## Spirituality.Mind.Body                         0.0299706161 -0.1879502819
+## School.Principals                              0.0062236912 -0.0447700902
+## Urban.Education                               -0.1497464089  0.0386468836
+## Counseling.Psychology                         -0.0521639224  0.0352464557
+## Communication.Media.and.Learning.Technologies -0.0202600866 -0.0236802773
+##                                                       PC53          PC54
+## Adult.Education                               -0.013958420 -0.1044356604
+## Anthropology                                   0.181074427 -0.0976852187
+## Social.Studies                                 0.137104575 -0.0007875823
+## Physiology                                     0.023104893 -0.1174402747
+## Behavior.Analysis                              0.145211045  0.0945741531
+## Linguistics                                   -0.037521316 -0.1083368105
+## Art.Education                                 -0.041605379  0.0378282658
+## Teaching.English                              -0.095544537  0.0804335474
+## Arts.Administration                           -0.028349551  0.0759796147
+## Bilingual.Bicultural.Education                -0.054348974 -0.0392860915
+## Clinical.Psychology                           -0.146959771  0.0835902017
+## Cognitive.Science                             -0.064768028 -0.1849239394
+## College.Advising                              -0.037921000  0.0182440498
+## Communication.Sciences.and.Disorders          -0.124574632 -0.1039615338
+## Cooperation.and.Conflict.Resolution           -0.025133325  0.1863800086
+## Creative.Technologies                         -0.104208272 -0.0159642164
+## Curriculum.and.Teaching                        0.185701045 -0.1175343348
+## Dance.Education                               -0.120039968  0.2881429554
+## Deaf.and.Hard.of.Hearing                       0.163974769 -0.2789942863
+## Design.and.Development.of.Digital.Games        0.291676844  0.0659853254
+## Developmental.Psychology                       0.098071549  0.0838832452
+## Diabetes.Education                             0.023630544  0.1664425570
+## Early.Childhood.Education                      0.049179541  0.0501250031
+## Early.Childhood.Special.Education              0.172687702 -0.1155196177
+## Economics.and.Education                       -0.036338339 -0.1127545453
+## Education.Technology                          -0.050815456 -0.0158924893
+## Education.Leadership                           0.155227479 -0.1239041080
+## Education.Policy                               0.067812675  0.0209749527
+## Inclusive.Education                            0.127337851  0.1234434037
+## English.Education                              0.087715228 -0.0455645216
+## Change.Leadership                             -0.000295265  0.2001557621
+## Nursing                                       -0.112497219  0.0030626027
+## Gifted.Education                               0.040699251 -0.0107222167
+## Health.Education                               0.208370847 -0.2444019414
+## Higher.and.Postsecondary.Education            -0.080176613  0.0321291335
+## History                                       -0.160515355 -0.1558025126
+## Instructional.Technology.and.Media            -0.114303535  0.0108580793
+## Intellectual.Disability.Autism                -0.114929077 -0.0384922733
+## International.and.Comparative.Education        0.077385961  0.1769612030
+## Kinesiology                                   -0.081281136 -0.0149933299
+## Learning.Analytics                             0.370533738 -0.0416997386
+## Literacy                                      -0.033285627  0.2032441356
+## Mathematics                                   -0.074791058 -0.1870181558
+## Measurement..Evaluation.and.Statistics        -0.145338788 -0.0212173214
+## Motor.Learning.and.Control                     0.075033544  0.1228700451
+## Movement.Science                              -0.016671887  0.0902223177
+## Music                                         -0.026912653 -0.2364510310
+## Neuroscience                                   0.251286997  0.1375243628
+## Nutrition                                     -0.094304566  0.1656379308
+## Leadership                                    -0.105700634 -0.1309021420
+## Philosophy                                     0.218575779  0.1003385352
+## Physical.Education                            -0.072587331  0.0036232748
+## Politics                                      -0.065244577 -0.0982110159
+## Private.School.Leadership                      0.054793020 -0.0233431345
+## Psychological.Counseling                      -0.211796225 -0.0579896852
+## Psychology                                    -0.053453676  0.0501314533
+## Reading                                       -0.111303968  0.1066667542
+## School.Psychology                              0.133028517  0.0662732082
+## Science.Education                             -0.034402523  0.0878523787
+## Sexuality..Women.and.Gender.in.Psychology     -0.124841893 -0.1887081785
+## Social.Organizational.Psychology              -0.059535651  0.0991172268
+## Sociology                                      0.055985949 -0.0347382840
+## Spirituality.Mind.Body                         0.141849233  0.1731799005
+## School.Principals                              0.029846397 -0.1312062462
+## Urban.Education                                0.042164537 -0.2079742108
+## Counseling.Psychology                         -0.152517615 -0.0057150762
+## Communication.Media.and.Learning.Technologies -0.072077531 -0.0245452417
+##                                                       PC55          PC56
+## Adult.Education                                0.081260373  0.0537940780
+## Anthropology                                   0.206703609 -0.1110045663
+## Social.Studies                                 0.043702699  0.1167556989
+## Physiology                                     0.033625471  0.2380184813
+## Behavior.Analysis                              0.018082855 -0.0326026851
+## Linguistics                                    0.243464731  0.0990464653
+## Art.Education                                  0.070571929 -0.0905568251
+## Teaching.English                              -0.176015499 -0.0408488643
+## Arts.Administration                           -0.012234205  0.1348350627
+## Bilingual.Bicultural.Education                 0.120209741  0.1397901505
+## Clinical.Psychology                            0.048292321  0.0915556600
+## Cognitive.Science                              0.117671608 -0.0206520532
+## College.Advising                               0.020504606  0.1504645746
+## Communication.Sciences.and.Disorders           0.078224670 -0.1090256309
+## Cooperation.and.Conflict.Resolution           -0.055115619 -0.1558723019
+## Creative.Technologies                          0.106317959 -0.0020009115
+## Curriculum.and.Teaching                        0.130228156 -0.2302848548
+## Dance.Education                                0.200621082  0.0380873512
+## Deaf.and.Hard.of.Hearing                      -0.085940036 -0.0584546554
+## Design.and.Development.of.Digital.Games       -0.311705347 -0.1165810115
+## Developmental.Psychology                      -0.154339741  0.1538093373
+## Diabetes.Education                             0.232545411  0.0012052889
+## Early.Childhood.Education                     -0.045599137  0.0468180147
+## Early.Childhood.Special.Education             -0.020980145 -0.2809418615
+## Economics.and.Education                        0.044089455 -0.0339845955
+## Education.Technology                           0.150778708 -0.0367889540
+## Education.Leadership                           0.188342936  0.1525130365
+## Education.Policy                              -0.023383836  0.0043728465
+## Inclusive.Education                            0.090029349  0.0434784123
+## English.Education                             -0.026010925  0.2380537383
+## Change.Leadership                              0.080319560 -0.0721988229
+## Nursing                                       -0.093395620  0.1764892450
+## Gifted.Education                              -0.040263277 -0.1200277356
+## Health.Education                               0.042583276  0.0373895155
+## Higher.and.Postsecondary.Education            -0.231364194 -0.0105215566
+## History                                       -0.087593700 -0.2253609879
+## Instructional.Technology.and.Media            -0.100792821  0.0905731391
+## Intellectual.Disability.Autism                -0.144533015 -0.0659144198
+## International.and.Comparative.Education       -0.130188282 -0.0475191981
+## Kinesiology                                   -0.006645564  0.0004834011
+## Learning.Analytics                             0.012415818 -0.0419151339
+## Literacy                                      -0.095449542  0.1462744538
+## Mathematics                                    0.111253130 -0.0143639352
+## Measurement..Evaluation.and.Statistics        -0.094864696 -0.2577450588
+## Motor.Learning.and.Control                    -0.017047603 -0.0231830192
+## Movement.Science                               0.017498455  0.0388907839
+## Music                                         -0.067848714  0.2450259831
+## Neuroscience                                   0.016079534 -0.0723244961
+## Nutrition                                     -0.002958921 -0.1117881014
+## Leadership                                     0.215682566 -0.2204985381
+## Philosophy                                     0.070144538 -0.0534111203
+## Physical.Education                            -0.037317940  0.0019888879
+## Politics                                      -0.169905437  0.0176965247
+## Private.School.Leadership                      0.116650903  0.0817974851
+## Psychological.Counseling                      -0.013361308 -0.1816976191
+## Psychology                                    -0.099915653  0.0767534402
+## Reading                                        0.184258383 -0.1072284092
+## School.Psychology                              0.052924975  0.2580258991
+## Science.Education                              0.231035898  0.1353182876
+## Sexuality..Women.and.Gender.in.Psychology      0.011131012  0.0734885644
+## Social.Organizational.Psychology               0.073292600 -0.1058962849
+## Sociology                                      0.029703083 -0.1096561763
+## Spirituality.Mind.Body                        -0.110620141 -0.0534833141
+## School.Principals                             -0.165351642  0.0196742571
+## Urban.Education                               -0.212599897  0.0544424068
+## Counseling.Psychology                         -0.138163050  0.0296338373
+## Communication.Media.and.Learning.Technologies -0.137662403  0.1039494490
+##                                                       PC57         PC58
+## Adult.Education                                0.219473735 -0.060425702
+## Anthropology                                  -0.105544222 -0.093498990
+## Social.Studies                                -0.114394486  0.261185427
+## Physiology                                     0.019111655  0.193290625
+## Behavior.Analysis                              0.119980706  0.050018544
+## Linguistics                                   -0.162515020 -0.033563430
+## Art.Education                                  0.020182986  0.088103752
+## Teaching.English                               0.178047966 -0.048349379
+## Arts.Administration                            0.122409041 -0.017104236
+## Bilingual.Bicultural.Education                -0.061777183 -0.110954216
+## Clinical.Psychology                           -0.159185457 -0.272486457
+## Cognitive.Science                              0.197645120 -0.043255647
+## College.Advising                              -0.009466408  0.020093904
+## Communication.Sciences.and.Disorders          -0.129917659  0.241105372
+## Cooperation.and.Conflict.Resolution           -0.010130675 -0.040766984
+## Creative.Technologies                         -0.016869196  0.042094838
+## Curriculum.and.Teaching                        0.032984061  0.127139305
+## Dance.Education                               -0.040209386  0.065723974
+## Deaf.and.Hard.of.Hearing                       0.153433300  0.022645894
+## Design.and.Development.of.Digital.Games       -0.003476903 -0.042944162
+## Developmental.Psychology                      -0.139710048  0.041007798
+## Diabetes.Education                            -0.096666746  0.054803170
+## Early.Childhood.Education                     -0.181361989  0.064332117
+## Early.Childhood.Special.Education              0.005742516  0.023579526
+## Economics.and.Education                       -0.063087190 -0.247601880
+## Education.Technology                          -0.092154843 -0.069829369
+## Education.Leadership                          -0.103651606 -0.021155930
+## Education.Policy                              -0.021540895 -0.118265815
+## Inclusive.Education                            0.123537085 -0.096951929
+## English.Education                             -0.049340019  0.014383543
+## Change.Leadership                             -0.077464652  0.200893132
+## Nursing                                       -0.057228613  0.130027186
+## Gifted.Education                              -0.008863489  0.019316067
+## Health.Education                               0.016403468 -0.019019428
+## Higher.and.Postsecondary.Education            -0.038290853  0.229683930
+## History                                        0.145538300 -0.043156329
+## Instructional.Technology.and.Media             0.057703725  0.076896277
+## Intellectual.Disability.Autism                 0.059588133 -0.032972382
+## International.and.Comparative.Education       -0.109498400 -0.077023857
+## Kinesiology                                   -0.014168960 -0.139261695
+## Learning.Analytics                            -0.116332835  0.147220944
+## Literacy                                      -0.035396905  0.213326918
+## Mathematics                                   -0.214549656  0.017603014
+## Measurement..Evaluation.and.Statistics        -0.308312442 -0.119008870
+## Motor.Learning.and.Control                    -0.092365714  0.077988816
+## Movement.Science                              -0.067182079 -0.031851039
+## Music                                         -0.059217660 -0.031085558
+## Neuroscience                                   0.089052860 -0.219368163
+## Nutrition                                      0.055624960 -0.120767286
+## Leadership                                     0.093503228  0.246833624
+## Philosophy                                    -0.018587744  0.013572350
+## Physical.Education                             0.123742926 -0.009214276
+## Politics                                       0.118381240 -0.068583723
+## Private.School.Leadership                      0.063980680 -0.099491302
+## Psychological.Counseling                      -0.147731544  0.039294468
+## Psychology                                     0.145897846  0.290035421
+## Reading                                        0.131787811 -0.039200125
+## School.Psychology                             -0.009670763 -0.068329379
+## Science.Education                              0.407067094 -0.015695540
+## Sexuality..Women.and.Gender.in.Psychology     -0.168385798 -0.113345688
+## Social.Organizational.Psychology              -0.093469991  0.115104948
+## Sociology                                      0.230140581  0.183703645
+## Spirituality.Mind.Body                        -0.023281714 -0.190147392
+## School.Principals                             -0.099351516  0.163131392
+## Urban.Education                                0.007928126 -0.080926124
+## Counseling.Psychology                         -0.004722897 -0.007306389
+## Communication.Media.and.Learning.Technologies  0.142171757 -0.025771494
+##                                                        PC59         PC60
+## Adult.Education                               -0.0933145587 -0.036124240
+## Anthropology                                   0.0186416681  0.037606017
+## Social.Studies                                 0.2141725758 -0.084639316
+## Physiology                                    -0.1328753039 -0.041023142
+## Behavior.Analysis                             -0.0082711368  0.095800371
+## Linguistics                                   -0.2035127166  0.012575501
+## Art.Education                                 -0.0357373333 -0.011234853
+## Teaching.English                               0.0680063256  0.199880062
+## Arts.Administration                            0.0049811898 -0.035126650
+## Bilingual.Bicultural.Education                 0.0355796818 -0.008437521
+## Clinical.Psychology                            0.1782273978  0.055942289
+## Cognitive.Science                              0.2645777774  0.133101166
+## College.Advising                              -0.3344861634 -0.042887144
+## Communication.Sciences.and.Disorders          -0.0562606211  0.089477523
+## Cooperation.and.Conflict.Resolution           -0.0831309033  0.060920415
+## Creative.Technologies                         -0.1138935282 -0.068845680
+## Curriculum.and.Teaching                        0.1393674486 -0.116986988
+## Dance.Education                               -0.0581562824 -0.036349663
+## Deaf.and.Hard.of.Hearing                       0.1673013485  0.023499944
+## Design.and.Development.of.Digital.Games       -0.0342228709 -0.102257139
+## Developmental.Psychology                       0.1276216507 -0.040716122
+## Diabetes.Education                             0.1265018843 -0.109344373
+## Early.Childhood.Education                      0.1021687653  0.088631074
+## Early.Childhood.Special.Education             -0.2362543066 -0.130003626
+## Economics.and.Education                        0.2275372592 -0.179059123
+## Education.Technology                          -0.0712467129  0.039186941
+## Education.Leadership                          -0.0002983018  0.122761185
+## Education.Policy                              -0.0996591773  0.030673438
+## Inclusive.Education                            0.0216095160  0.170668541
+## English.Education                             -0.0120540996  0.034622359
+## Change.Leadership                             -0.1627456415  0.226288868
+## Nursing                                        0.0422968866 -0.007455482
+## Gifted.Education                              -0.0511664470 -0.097790901
+## Health.Education                              -0.2126000595 -0.193722388
+## Higher.and.Postsecondary.Education            -0.0139183412  0.160758384
+## History                                       -0.1079440454  0.177741440
+## Instructional.Technology.and.Media             0.0858156617 -0.122785155
+## Intellectual.Disability.Autism                 0.0747354739 -0.205455914
+## International.and.Comparative.Education       -0.0700631250  0.048048637
+## Kinesiology                                   -0.1794729241 -0.139574316
+## Learning.Analytics                             0.0039180319  0.123278440
+## Literacy                                       0.0504541239 -0.148726631
+## Mathematics                                   -0.0811606173  0.143404481
+## Measurement..Evaluation.and.Statistics        -0.0185617190 -0.235198320
+## Motor.Learning.and.Control                     0.1289783637 -0.004088773
+## Movement.Science                               0.0011671601 -0.052820259
+## Music                                         -0.0661007284  0.189433926
+## Neuroscience                                  -0.0456425752 -0.001163293
+## Nutrition                                      0.1328408599  0.190068126
+## Leadership                                     0.2252196710 -0.015561002
+## Philosophy                                     0.0879546829 -0.019647935
+## Physical.Education                             0.1358437443  0.194494553
+## Politics                                      -0.0156980252 -0.207336855
+## Private.School.Leadership                      0.0845399096 -0.072479127
+## Psychological.Counseling                       0.0231548480  0.117292941
+## Psychology                                    -0.0299640419 -0.230792028
+## Reading                                       -0.0761300652 -0.189294223
+## School.Psychology                              0.0220887493 -0.071773907
+## Science.Education                             -0.1063947595 -0.019848835
+## Sexuality..Women.and.Gender.in.Psychology      0.1173433523 -0.036496731
+## Social.Organizational.Psychology              -0.0226151140 -0.265919623
+## Sociology                                     -0.0858460062  0.089707413
+## Spirituality.Mind.Body                        -0.0338367261  0.098340732
+## School.Principals                              0.0476363541  0.114909569
+## Urban.Education                               -0.0935758146 -0.032733201
+## Counseling.Psychology                         -0.2618620754  0.105810263
+## Communication.Media.and.Learning.Technologies  0.1736905717 -0.145021263
+##                                                       PC61         PC62
+## Adult.Education                                0.028452350  0.135905505
+## Anthropology                                  -0.100506814 -0.155598376
+## Social.Studies                                 0.049907007  0.059465379
+## Physiology                                     0.019710212  0.026997870
+## Behavior.Analysis                              0.036068450 -0.019504693
+## Linguistics                                    0.069503847 -0.334631383
+## Art.Education                                 -0.063590100 -0.104062712
+## Teaching.English                               0.029930270  0.029087875
+## Arts.Administration                           -0.107267802  0.106120127
+## Bilingual.Bicultural.Education                 0.153035945  0.065101086
+## Clinical.Psychology                            0.067791829  0.130586097
+## Cognitive.Science                              0.053227160  0.181214318
+## College.Advising                               0.077163382 -0.105255496
+## Communication.Sciences.and.Disorders          -0.077748273 -0.031642750
+## Cooperation.and.Conflict.Resolution           -0.226105092 -0.082122547
+## Creative.Technologies                         -0.059763612  0.071283090
+## Curriculum.and.Teaching                       -0.009468041  0.069259506
+## Dance.Education                               -0.134751647  0.072173800
+## Deaf.and.Hard.of.Hearing                       0.010644519  0.128949998
+## Design.and.Development.of.Digital.Games        0.189326383 -0.144049715
+## Developmental.Psychology                       0.100217644 -0.015559894
+## Diabetes.Education                            -0.090584754 -0.005631116
+## Early.Childhood.Education                      0.009934841 -0.185279074
+## Early.Childhood.Special.Education              0.107618599 -0.056994523
+## Economics.and.Education                       -0.158325825 -0.130413355
+## Education.Technology                           0.068114281  0.240375987
+## Education.Leadership                           0.315859750 -0.074893478
+## Education.Policy                              -0.162678452  0.106918123
+## Inclusive.Education                           -0.006069842  0.004473603
+## English.Education                             -0.071929062  0.151075366
+## Change.Leadership                              0.151780179  0.072042506
+## Nursing                                       -0.022243786 -0.090796226
+## Gifted.Education                              -0.147565328 -0.003010961
+## Health.Education                              -0.202622357  0.186859119
+## Higher.and.Postsecondary.Education            -0.062823951  0.256525327
+## History                                       -0.139255399 -0.077335620
+## Instructional.Technology.and.Media             0.030723772 -0.040516866
+## Intellectual.Disability.Autism                -0.128908615  0.080776980
+## International.and.Comparative.Education       -0.155096776  0.105445243
+## Kinesiology                                    0.005283183  0.021372388
+## Learning.Analytics                            -0.156331933 -0.039494854
+## Literacy                                      -0.103023843  0.183392060
+## Mathematics                                   -0.012943822  0.100515811
+## Measurement..Evaluation.and.Statistics         0.046903786 -0.070855144
+## Motor.Learning.and.Control                    -0.073236699 -0.052335172
+## Movement.Science                               0.099731613  0.240804088
+## Music                                         -0.039185672 -0.050218867
+## Neuroscience                                   0.211143073  0.139529947
+## Nutrition                                      0.133551192 -0.255645175
+## Leadership                                     0.080162291 -0.043297777
+## Philosophy                                    -0.007030011  0.055242107
+## Physical.Education                             0.086813747 -0.122023697
+## Politics                                       0.244578486 -0.011281874
+## Private.School.Leadership                     -0.383188319 -0.142170571
+## Psychological.Counseling                      -0.026451205  0.158313240
+## Psychology                                    -0.055277264 -0.251004490
+## Reading                                        0.174553338  0.073511691
+## School.Psychology                              0.025846003 -0.086237425
+## Science.Education                             -0.093205287 -0.079508992
+## Sexuality..Women.and.Gender.in.Psychology     -0.127301728 -0.025387007
+## Social.Organizational.Psychology               0.221620026  0.065274769
+## Sociology                                     -0.014221971 -0.004441807
+## Spirituality.Mind.Body                        -0.134570002 -0.016449290
+## School.Principals                              0.041598084 -0.101140391
+## Urban.Education                                0.039772094  0.098451971
+## Counseling.Psychology                          0.017106786 -0.086189683
+## Communication.Media.and.Learning.Technologies  0.035969198 -0.147005280
+##                                                       PC63         PC64
+## Adult.Education                                0.007111628  0.209687310
+## Anthropology                                   0.118065604 -0.054417918
+## Social.Studies                                 0.127181343  0.089205814
+## Physiology                                    -0.008200779 -0.037855634
+## Behavior.Analysis                             -0.068060743  0.113750247
+## Linguistics                                    0.196671322 -0.106280529
+## Art.Education                                 -0.156645866 -0.010198004
+## Teaching.English                               0.107091601 -0.007260982
+## Arts.Administration                            0.136217760 -0.098474707
+## Bilingual.Bicultural.Education                -0.130646553 -0.041073319
+## Clinical.Psychology                            0.063093359  0.062894450
+## Cognitive.Science                             -0.049128042 -0.236189211
+## College.Advising                               0.026171537 -0.097886731
+## Communication.Sciences.and.Disorders          -0.028284911 -0.124712222
+## Cooperation.and.Conflict.Resolution           -0.223264002 -0.175165263
+## Creative.Technologies                         -0.173106282  0.192675481
+## Curriculum.and.Teaching                        0.055991631  0.097687879
+## Dance.Education                               -0.020836257 -0.055395615
+## Deaf.and.Hard.of.Hearing                      -0.145867145 -0.022819748
+## Design.and.Development.of.Digital.Games        0.088564529  0.187138057
+## Developmental.Psychology                      -0.030506817 -0.056630369
+## Diabetes.Education                             0.016099160  0.008919906
+## Early.Childhood.Education                     -0.003096024  0.050457073
+## Early.Childhood.Special.Education             -0.169068782 -0.026680637
+## Economics.and.Education                        0.101013238  0.020134022
+## Education.Technology                           0.007943322 -0.094236892
+## Education.Leadership                          -0.166780746 -0.097580286
+## Education.Policy                               0.016011288  0.039818377
+## Inclusive.Education                            0.025921598  0.013794231
+## English.Education                              0.092374905  0.044661350
+## Change.Leadership                              0.232682662  0.166820017
+## Nursing                                       -0.092254019  0.061714384
+## Gifted.Education                               0.255410818 -0.028741507
+## Health.Education                              -0.112831740  0.022848249
+## Higher.and.Postsecondary.Education             0.050082180  0.052848949
+## History                                        0.142257818  0.173366237
+## Instructional.Technology.and.Media            -0.250921263  0.001702950
+## Intellectual.Disability.Autism                 0.108596525  0.028656253
+## International.and.Comparative.Education       -0.130818445 -0.218238029
+## Kinesiology                                    0.342285190 -0.171707814
+## Learning.Analytics                             0.035101251 -0.224014088
+## Literacy                                      -0.174783041  0.074923313
+## Mathematics                                   -0.048281016  0.293191224
+## Measurement..Evaluation.and.Statistics        -0.073475697  0.048011834
+## Motor.Learning.and.Control                    -0.026573073  0.131974814
+## Movement.Science                               0.281386039 -0.182690901
+## Music                                         -0.071982939 -0.125838900
+## Neuroscience                                  -0.003441131  0.220706055
+## Nutrition                                     -0.103242065  0.012895637
+## Leadership                                    -0.040497845 -0.099837729
+## Philosophy                                    -0.084081207 -0.061581654
+## Physical.Education                             0.085727338  0.069597019
+## Politics                                       0.030675753 -0.041356356
+## Private.School.Leadership                     -0.005931830  0.121698368
+## Psychological.Counseling                       0.042230000 -0.042152353
+## Psychology                                     0.144318944  0.050055075
+## Reading                                       -0.126799934  0.055606576
+## School.Psychology                              0.030372428  0.190906965
+## Science.Education                             -0.080566491  0.001652494
+## Sexuality..Women.and.Gender.in.Psychology     -0.096016603  0.240337581
+## Social.Organizational.Psychology              -0.071185417 -0.150232309
+## Sociology                                      0.071046778 -0.025421329
+## Spirituality.Mind.Body                        -0.153380245 -0.177626171
+## School.Principals                             -0.010112690  0.007721309
+## Urban.Education                               -0.025195746 -0.112477387
+## Counseling.Psychology                         -0.204808089  0.052172851
+## Communication.Media.and.Learning.Technologies  0.028220893 -0.260188010
+##                                                       PC65         PC66
+## Adult.Education                               -0.102809780 -0.024098970
+## Anthropology                                   0.012878221  0.236483426
+## Social.Studies                                -0.001955996 -0.080190880
+## Physiology                                    -0.225147371  0.172989920
+## Behavior.Analysis                             -0.066030775 -0.114329611
+## Linguistics                                    0.203434996 -0.100121230
+## Art.Education                                 -0.034465641 -0.072483191
+## Teaching.English                               0.065759458 -0.090328786
+## Arts.Administration                            0.164136932 -0.080572302
+## Bilingual.Bicultural.Education                 0.127920366  0.244683143
+## Clinical.Psychology                           -0.231545610 -0.024427492
+## Cognitive.Science                             -0.201211261 -0.003657776
+## College.Advising                               0.061669216 -0.151623467
+## Communication.Sciences.and.Disorders           0.060105686 -0.018544007
+## Cooperation.and.Conflict.Resolution            0.023221521  0.017303250
+## Creative.Technologies                         -0.202250080  0.090735831
+## Curriculum.and.Teaching                       -0.307651901  0.041573828
+## Dance.Education                               -0.009520959  0.017244443
+## Deaf.and.Hard.of.Hearing                       0.213675122  0.162418744
+## Design.and.Development.of.Digital.Games       -0.057235772 -0.015775580
+## Developmental.Psychology                      -0.166429622  0.080147035
+## Diabetes.Education                             0.062627837 -0.096133322
+## Early.Childhood.Education                     -0.012534321  0.059821452
+## Early.Childhood.Special.Education             -0.062822682 -0.008015734
+## Economics.and.Education                       -0.157579671  0.049741882
+## Education.Technology                           0.100166240  0.140482473
+## Education.Leadership                          -0.106764786 -0.041610311
+## Education.Policy                              -0.026231132 -0.028872340
+## Inclusive.Education                            0.160338338 -0.040433868
+## English.Education                             -0.100360559 -0.264825521
+## Change.Leadership                             -0.230412031  0.123526904
+## Nursing                                       -0.065269539  0.120120022
+## Gifted.Education                              -0.074551230 -0.123580746
+## Health.Education                               0.094472857 -0.160259394
+## Higher.and.Postsecondary.Education             0.045927936  0.078807511
+## History                                       -0.076812578 -0.016042980
+## Instructional.Technology.and.Media             0.081324378 -0.140403776
+## Intellectual.Disability.Autism                -0.079241353  0.033524096
+## International.and.Comparative.Education        0.123595236  0.252137676
+## Kinesiology                                   -0.137761416  0.010446006
+## Learning.Analytics                             0.032459012 -0.027296225
+## Literacy                                       0.024200109 -0.122531507
+## Mathematics                                    0.064302884 -0.193174461
+## Measurement..Evaluation.and.Statistics         0.030954988 -0.016766043
+## Motor.Learning.and.Control                     0.091944922  0.037096467
+## Movement.Science                               0.146905019 -0.023842727
+## Music                                         -0.136382737  0.011184869
+## Neuroscience                                   0.192076768 -0.036139795
+## Nutrition                                     -0.023142641  0.017720025
+## Leadership                                     0.095709831 -0.198024786
+## Philosophy                                    -0.074380900  0.063203123
+## Physical.Education                             0.064907213  0.018397343
+## Politics                                       0.112409028 -0.159099057
+## Private.School.Leadership                     -0.028229312  0.015511595
+## Psychological.Counseling                       0.133604990  0.042790709
+## Psychology                                     0.090446230  0.310094014
+## Reading                                        0.079515075  0.187217098
+## School.Psychology                              0.145964235  0.037974169
+## Science.Education                             -0.089952669  0.078013035
+## Sexuality..Women.and.Gender.in.Psychology      0.194278276 -0.022828873
+## Social.Organizational.Psychology              -0.137127637 -0.122225161
+## Sociology                                      0.122053162 -0.065487726
+## Spirituality.Mind.Body                        -0.168896711 -0.240733535
+## School.Principals                              0.039176448 -0.049655698
+## Urban.Education                               -0.006184475  0.295898596
+## Counseling.Psychology                         -0.145239526 -0.075359209
+## Communication.Media.and.Learning.Technologies -0.049024041 -0.159815716
+##                                                        PC67
+## Adult.Education                               -0.2454567494
+## Anthropology                                  -0.0766732553
+## Social.Studies                                -0.0301400567
+## Physiology                                     0.0768861940
+## Behavior.Analysis                             -0.1262844106
+## Linguistics                                    0.0086964306
+## Art.Education                                  0.0385358397
+## Teaching.English                               0.1092526791
+## Arts.Administration                           -0.2033738271
+## Bilingual.Bicultural.Education                -0.1088694503
+## Clinical.Psychology                            0.1498199068
+## Cognitive.Science                              0.1333794332
+## College.Advising                               0.1218684890
+## Communication.Sciences.and.Disorders           0.1336095348
+## Cooperation.and.Conflict.Resolution            0.1205693216
+## Creative.Technologies                          0.0649443727
+## Curriculum.and.Teaching                        0.0190169950
+## Dance.Education                                0.0687261614
+## Deaf.and.Hard.of.Hearing                       0.0726465830
+## Design.and.Development.of.Digital.Games       -0.0438368367
+## Developmental.Psychology                       0.0008480882
+## Diabetes.Education                             0.0090192178
+## Early.Childhood.Education                     -0.1674866916
+## Early.Childhood.Special.Education              0.0345972861
+## Economics.and.Education                        0.1569844642
+## Education.Technology                          -0.2389655944
+## Education.Leadership                           0.1391088991
+## Education.Policy                               0.1673579520
+## Inclusive.Education                           -0.0890121908
+## English.Education                              0.0606431953
+## Change.Leadership                              0.0683417172
+## Nursing                                       -0.0468111829
+## Gifted.Education                               0.0963339814
+## Health.Education                               0.1210526776
+## Higher.and.Postsecondary.Education             0.0671650823
+## History                                        0.0826691205
+## Instructional.Technology.and.Media             0.0528521699
+## Intellectual.Disability.Autism                -0.2025946141
+## International.and.Comparative.Education        0.1641122391
+## Kinesiology                                   -0.0416368285
+## Learning.Analytics                            -0.0884199735
+## Literacy                                       0.0156144477
+## Mathematics                                    0.0304455319
+## Measurement..Evaluation.and.Statistics        -0.0124295336
+## Motor.Learning.and.Control                    -0.0005967113
+## Movement.Science                              -0.0105842250
+## Music                                          0.0303318490
+## Neuroscience                                   0.2143729471
+## Nutrition                                     -0.0321790874
+## Leadership                                     0.0288435107
+## Philosophy                                    -0.0973809020
+## Physical.Education                            -0.0191211180
+## Politics                                       0.1974712964
+## Private.School.Leadership                     -0.1136077695
+## Psychological.Counseling                       0.0295823290
+## Psychology                                     0.2080737952
+## Reading                                        0.0395580354
+## School.Psychology                              0.0451598469
+## Science.Education                              0.1171677601
+## Sexuality..Women.and.Gender.in.Psychology     -0.1229886562
+## Social.Organizational.Psychology              -0.2056562825
+## Sociology                                     -0.2754285998
+## Spirituality.Mind.Body                        -0.0329509892
+## School.Principals                              0.1194462264
+## Urban.Education                               -0.1512432834
+## Counseling.Psychology                         -0.3086875020
+## Communication.Media.and.Learning.Technologies -0.0876424531
+
loadings <- abs(pca_tc$rotation)
+
+#transform data from pca_tc
+TC2 <- cbind(TC1, pca_tc$x[,1:23])
+ggpairs(TC2, columns = c("Adult.Education","PC1","PC2","PC3","PC4","PC5"), 
+        progress = FALSE)
+

+
#The first few principal components suggest two main groups of related programs. The first group is programs that studies humans including both human's physical and mental aspects. For example, the second component is positively correlated with programs such as Physiology, Behavior Analysis, Clinical Psychology, Cognitive Science, and Anthropology; they vary together. The second group is programs that are about education in general such as Adult Education, Linguistics, Teaching English, College Advising, and Art Education.
+#The biplot of pca_tc support the two trends. Programs that studies human beings roughly go to the same direction (Health education, Nursing, Counseling psychology, etc.), whereas programs that are about education in general roughly do to the same direction (Urban education, Early childhood education, Literacy, Adult education, and Higher and postsecondary education).
+
+ + + + +
+ + + + + + + + + + + + + + +