suppose I want to incorporate propensity score matching in analyzing sales. Last year, I sold 100 of 300, so my ratio is 33.33%. This year my items costs 5% less and I sold 300/600, so my ratio is 50%.
this year and last year could potentially have different covariates, so it could be anything from customer gender, age, etc etc.
what I want to do is, relative to the price, I want to use propensity score to balance the covariates, and get a sense of the impact of the 5% price decrease. So for example, maybe after balancing my covariates, I find out that my 300/600 is actually just 200/600.
In this case,what is my treatment and what is my outcome when I put this in R/Python? My understanding is that the general definition of PSM is the probability of treament given the covariate. So is my treatment "sold this year"? But I thought "sold" would be my outcome variable
would appreciate some insight.
thanks!