Hey! I really enjoy your videos, keep going! As a political scientists, however, I lack some understanding in econometrics and just discover the subject area. Could you say something about using DiD with a non-linear model? In my case, I use survey data and my dependent variable is on an ordinal scale. Would that at all be possible to implement given the case that the parallel trends assumption is supported?
Nonlinear DID can be a bit of a headache, largely because what "parallel trends" even *means* can vary quite a bit from model to model, and it often represents an assumption that's more technical and less intuitive in nature than the linear version. Basically you're just sort of stuck hoping someone has hashed out the problem for your specific kind of model before. It does look like someone has done this for ordinal dependent variables, though, so you're in luck! I haven't read the paper but here it is. arxiv.org/abs/2009.13404
