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Homogeneity Pursuit in Panel Data Models: Theory and Applications

Wuyi Wang, Peter Phillips () and Liangjun Su

No 2063, Cowles Foundation Discussion Papers from Cowles Foundation for Research in Economics, Yale University

Abstract: This paper studies estimation of a panel data model with latent structures where individuals can be classified into different groups where slope parameters are homogeneous within the same group but heterogeneous across groups. To identify the unknown group structure of vector parameters, we design an algorithm called Panel-CARDS which is a systematic extension of the CARDS procedure proposed by Ke, Fan, and Wu (2015) in a cross section framework. The extension addresses the problem of comparing vector coefficients in a panel model for homogeneity and introduces a new concept of controlled classification of multidimensional quantities called the segmentation net. We show that the Panel-CARDS method identifies group structure asymptotically and consistently estimates model parameters at the same time. External information on the minimum number of elements within each group is not required but can be used to improve the accuracy of classification and estimation in finite samples. Simulations evaluate performance and corroborate the asymptotic theory in several practical design settings. Two empirical economic applications are considered: one explores the effect of income on democracy by using cross-country data over the period 1961-2000; the other examines the effect of minimum wage legislation on unemployment in 50 states of the United States over the period 1988-2014. Both applications reveal the presence of latent groupings in these panel data.

Keywords: CARDS; Clustering; Heterogeneous slopes; Income and democracy; Minimum wage and employment; Oracle estimator; Panel structure model (search for similar items in EconPapers)
JEL-codes: C33 C38 C51 (search for similar items in EconPapers)
Pages: 57 pages
Date: 2016-11
New Economics Papers: this item is included in nep-ecm and nep-sea
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Journal Article: Homogeneity pursuit in panel data models: Theory and application (2018) Downloads
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