Difference in Differences and Ratio in Ratios for Limited Dependent Variables

Myoung-jae Lee and Sanghyeok Lee

Papers from arXiv.org

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.

Date: 2021-11, Revised 2023-08
New Economics Papers: this item is included in nep-ecm
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