So the blog has taken a backseat for the past month since I’ve been focusing on my “theoretical chapter”.
My quest in putting together power analyses for HLSMs has taken me in a few areas.
(1) Looking at the biostats literature on RCTs with binary outcomes. It seems people focus on the test and don’t pay too much attention to the binary outcome (?). If the data is clustered, then people do GEE/sandwich estimators and/or do some form of linearization of the logit model.
(2) If I assume Euclidean squared distance, the latent space pairwise distances have a Gamma distribution (assuming a mean 0, diagonal covariance on the LS positions). We still have this issue of dependence of these “residuals” and so the GEE stuff comes up again.
In other news:
I can think about the random effect/treatment effect identifiability and actually start putting together my thesis when I have free time.
I need to start scheduling my time a little bit better since I only have a few months to finish this and put together a draft.