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arXiv · 2111.12948

Difference in Differences and Ratio in Ratios for Limited Dependent Variables

Myoung-jae Lee·Sanghyeok Lee
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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.

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Myoung-jae Lee, Sanghyeok Lee. 2021-11-25. Difference in Differences and Ratio in Ratios for Limited Dependent Variables. https://arxiv.org/abs/2111.12948

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