Determine if treatment effect is distributed equally across participants in a study or driven by a few participants This is perhaps a malformed question, but I'll give it a shot. Let's say I have a pre and post measure of some outcome variable and a dummy variable treatment that is 1 if participants are in a treatment condition and 0 if control.
Let's say I model the effect on the outcome variable simply with:
lm(outcome_post - outcome_pre ~ treatment)
Let's say the coefficient on treatment is 3.0 and is highly statistically significant. What I want to answer is: how evenly distributed is this treatment effect across participants? It could be the case that only a handful of participants benefits from the treatment, but they benefit to a significant degree.
Is there a test or procedure I can use to test whether treatment effects are evenly distributed in the sample?

Apart from the issue of pre/post treatment issue, regarding the influence of specific points, I would recommend to look into Cook's distance, a metric that allows you to check if there are / which are the influential observations in your model.
I know that check_model() function from the performance package produces a plot that can indeed identify these samples. But, I would recommend following the approach presented here for the olsrr package: https://cran.r-project.org/web/packages/olsrr/vignettes/influence_measures.html. I would say it can indeed give you the tools to ascertain if the treatment effect is homogeneous or not.
