Difference in Differences and Ratio in Ratios for Limited Dependent Variables
Econometrics
2023-08-15 v2
Abstract
Difference in differences (DD) is widely used to find policy/treatment effects with observational data, but applying DD to limited dependent variables (LDV's) Y has been problematic. This paper addresses how to apply DD and related approaches (such as "ratio in ratios" or "ratio in odds ratios") to binary, count, fractional, multinomial or zero-censored Y under the unifying framework of `generalized linear models with link functions'. We evaluate DD and the related approaches with simulation and empirical studies, and recommend 'Poisson Quasi-MLE' for non-negative (such as count or zero-censored) Y and (multinomial) logit MLE for binary, fractional or multinomial Y.
Cite
@article{arxiv.2111.12948,
title = {Difference in Differences and Ratio in Ratios for Limited Dependent Variables},
author = {Myoung-jae Lee and Sanghyeok Lee},
journal= {arXiv preprint arXiv:2111.12948},
year = {2023}
}