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This paper discusses difference-in-differences (DID) estimation when there exist many control variables, potentially more than the sample size. In this case, traditional estimation methods, which require a limited number of variables, do…

General Economics · Economics 2019-01-09 Neng-Chieh Chang

Distributed Lag Models (DLMs) and similar regression approaches such as MIDAS have been used for many decades in econometrics and more recently to investigate how poor air quality adversely affects human health. In this paper we describe…

Methodology · Statistics 2025-01-30 Daniel Dempsey , Jason Wyse

Difference-in-differences is one of the most used identification strategies in empirical work in economics. This chapter reviews a number of important, recent developments related to difference-in-differences. First, this chapter reviews…

Econometrics · Economics 2022-08-02 Brantly Callaway

Generalized linear models, such as logistic regression, are widely used to model the association between a treatment and a binary outcome as a function of baseline covariates. However, the coefficients of a logistic regression model…

Methodology · Statistics 2022-01-04 Jiaqi Yin , Sonia Markes , Thomas S. Richardson , Linbo Wang

Difference-in-differences (DID) is one of the most popular tools used to evaluate causal effects of policy interventions. This paper extends the DID methodology to accommodate interval outcomes, which are often encountered in empirical…

Econometrics · Economics 2025-12-10 Daisuke Kurisu , Yuta Okamoto , Taisuke Otsu

Applied analysts often use the differences-in-differences (DID) method to estimate the causal effect of policy interventions with observational data. The method is widely used, as the required before and after comparison of a treated and…

Applications · Statistics 2019-02-04 Luke J. Keele , Dylan S. Small , Jesse Y. Hsu , Colin B. Fogarty

The log transformation of the dependent variable is not innocuous when using a difference-in-differences (DD) model. With a dependent variable in logs, the DD term captures an approximation of the proportional difference in growth rates…

Econometrics · Economics 2023-08-08 Brendon McConnell

In settings with few treated units, Difference-in-Differences (DID) estimators are not consistent, and are not generally asymptotically normal. This poses relevant challenges for inference. While there are inference methods that are valid…

Econometrics · Economics 2023-02-08 Luis Alvarez , Bruno Ferman

In regression models for categorical data a linear model is typically related to the response variables via a transformation of probabilities called the link function. We introduce an approach based on two link functions for binary data…

Methodology · Statistics 2016-11-04 Monia Lupparelli , Alberto Roverato

Linear mixed-effects models are widely used in analyzing clustered or repeated measures data. We propose a quasi-likelihood approach for estimation and inference of the unknown parameters in linear mixed-effects models with high-dimensional…

Methodology · Statistics 2021-03-10 Sai Li , Tony T. Cai , Hongzhe Li

This paper outlines a unified framework for high dimensional variable selection for classification problems. Traditional approaches to finding interesting variables mostly utilize only partial information through moments (like mean…

Methodology · Statistics 2016-11-25 S. Mukhopadhyay , Emanuel Parzen , S. N. Lahiri

There has been a growing interest in covariate adjustment in the analysis of randomized controlled trials in past years. For instance, the U.S. Food and Drug Administration recently issued guidance that emphasizes the importance of…

Methodology · Statistics 2023-06-12 Kelly Van Lancker , Frank Bretz , Oliver Dukes

State-level policy evaluations commonly employ a difference-in-differences (DID) study design; yet within this framework, statistical model specification varies notably across studies. Motivated by applied state-level opioid policy…

Identifying how dependence relationships vary across different conditions plays a significant role in many scientific investigations. For example, it is important for the comparison of biological systems to see if relationships between…

Methodology · Statistics 2023-07-31 Hoseung Song , Michael C. Wu

This paper studies Difference-in-Differences (DiD) setups with repeated cross-sectional data and potential compositional changes across time periods. We begin our analysis by deriving the efficient influence function and the semiparametric…

Econometrics · Economics 2025-11-17 Pedro H. C. Sant'Anna , Qi Xu

Mixed linear models are commonly used in repeated measures studies. They account for the dependence amongst observations obtained from the same experimental unit. Oftentimes, the number of observations is small, and it is thus important to…

Methodology · Statistics 2011-08-05 Tatiane F. N. Melo , Silvia L. P. Ferrari , Francisco Cribari-Neto

Regression models for limited continuous dependent variables having a non-negligible probability of attaining exactly their limits are presented. The models differ in the number of parameters and in their flexibility. Fractional data being…

Applications · Statistics 2012-05-31 Fabio Sigrist , Werner A. Stahel

Comparison principles are developed for discrete quasilinear elliptic partial differential equations. We consider the analysis of a class of nonmonotone Leray-Lions problems featuring both nonlinear solution and gradient dependence in the…

Numerical Analysis · Mathematics 2017-11-02 Sara Pollock , Yunrong Zhu

In many public health problems, an important goal is to identify the effect of some treatment/intervention on the risk of failure for the whole population. A marginal proportional hazards regression model is often used to analyze such an…

Statistics Theory · Mathematics 2007-06-13 Donglin Zeng

Researchers commonly use difference-in-differences (DiD) designs to evaluate public policy interventions. While methods exist for estimating effects in the context of binary interventions, policies often result in varied exposures across…

Methodology · Statistics 2025-02-07 Gary Hettinger , Youjin Lee , Nandita Mitra
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