{"title":"Mundlak estimators for three-dimensional panel data models","authors":"Xun Lu , Liangjun Su","doi":"10.1016/j.econlet.2026.112842","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we demonstrate the numerical equivalence between the within estimator and the Mundlak estimator for widely used three-dimensional (3D) balanced panel data models. The Mundlak estimator is obtained from the OLS regression, including relevant sample averages as additional regressors. This suggests that the three estimation methods, namely, within, Mundlak, and least squares dummy variable (LSDV), produce numerically identical estimates for balanced 3D models.</div></div>","PeriodicalId":11468,"journal":{"name":"Economics Letters","volume":"262 ","pages":"Article 112842"},"PeriodicalIF":1.8000,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Economics Letters","FirstCategoryId":"96","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0165176526000364","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2026/2/18 0:00:00","PubModel":"Epub","JCR":"Q2","JCRName":"ECONOMICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we demonstrate the numerical equivalence between the within estimator and the Mundlak estimator for widely used three-dimensional (3D) balanced panel data models. The Mundlak estimator is obtained from the OLS regression, including relevant sample averages as additional regressors. This suggests that the three estimation methods, namely, within, Mundlak, and least squares dummy variable (LSDV), produce numerically identical estimates for balanced 3D models.
期刊介绍:
Many economists today are concerned by the proliferation of journals and the concomitant labyrinth of research to be conquered in order to reach the specific information they require. To combat this tendency, Economics Letters has been conceived and designed outside the realm of the traditional economics journal. As a Letters Journal, it consists of concise communications (letters) that provide a means of rapid and efficient dissemination of new results, models and methods in all fields of economic research.