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2 changes: 1 addition & 1 deletion scratch/moderation.Rmd
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Expand Up @@ -67,7 +67,7 @@ Sub-group analyses estimate the average treatment effects within sub-groups defi
Causal effects within sub-groups are often refereed to as a **conditional average treatment effect (CATE)** because we are conditioning (read as sub-setting) by sub-group. thinkCausal automatically allows you to look at treatment effects within all possible sub-groups includes all possible


### Causal Effect of HyerShoes for Professional and Ameature Runners
### Causal Effect of HyperShoes for Professional and Ameature Runners
If we separate our results into sub-groups defined by being a professional or amateur runner we reach a more nuanced conclusion about HyperShoes! We can see that HyperShoes do in fact cause faster running times but only for professional level runners! For professional runners, wearing HyperShoes caused finishing times that were an average of 9 minutes faster (-9.2) than they would have been had they worn standard shoes. Amateur runners, on the other hand, gain no advantage from wearing HyperShoes!

#### CATEs vs SATEs
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A subset of all the runners in our sample wore HyerShoes. For these runners we need to know what would have happened if they had not worn hyperShoes.
A subset of all the runners in our sample wore HyperShoes. For these runners we need to know what would have happened if they had not worn hyperShoes.

But these are not all of the runners in our sample!

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The remainder of runners in our sample did not wear hyerShoes. To estimate the ATE, we also need to know what would have happened to these runners if they had worn hyperShoes.
The remainder of runners in our sample did not wear hyperShoes. To estimate the ATE, we also need to know what would have happened to these runners if they had worn hyperShoes.



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We know the average finishing time for runners' with hyperShoes is 252.26 minutes, but *we don't know what the runners' with hyerShoes average finishing time would have been had these runners' not worn hyperShoes*.
We know the average finishing time for runners' with hyperShoes is 252.26 minutes, but *we don't know what the runners' with hyperShoes average finishing time would have been had these runners' not worn hyperShoes*.