I am looking for recommended procedures/packages for matching samples (with or without propensity scores) to restrict the number of cases in one of two groups. Data are collected with a survey, and a group has substantial dropout (self-selection). I would like to consider this self-selection by using auxiliary variables (covariates) to match individuals from the other group, the group with a high response rate. In case-control studies, this latter group would be referred to as the “control group”.
I believe I cannot integrate the matching in for instance Stata’s -teffects- module since I need to select a restricted/matched sample and then move this sample to advanced analyses with SEM.
Hopefully, someone can give me advice on what would be a good approach. My coding skills are better in R, but I tend to use Stata for data management within a single data frame. So using a package for either Stata or R would be great.