Testing for Time-Invariant Unobserved Heterogeneity in Generalized Linear Models for Panel Data
AbstractRecent literature on panel data has emphasized the importance of accounting for time-varying unobserved heterogeneity, which may stem either from time-varying omitted variables or macro-level shocks that affect each individual unit differently. In this paper, we propose a computationally convenient test for the null hypothesis of time-invariant individual effects. The proposed test is an application of Hausman (1978) specification test procedure and can be applied to generalized linear models for panel data, a wide class of models that includes the Gaussian linear model and a variety of nonlinear models typically employed for discrete or categorical outcomes. The basic idea is to compare fixed effects estimators defined as the maximand of full and pairwise conditional likelihood functions. Thus, the proposed approach requires no assumptions on the distribution of the individual effects and, most importantly, it does not require them to be independent of the covariates in the model. We investigate the finite sample properties of the test through a set of Monte Carlo experiments. Our results show that the test performs quite well, with small size distortions and good power properties. A health economics example based on data from the Health and Retirement Study is used to illustrate the proposed test.
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Bibliographic InfoPaper provided by Einaudi Institute for Economics and Finance (EIEF) in its series EIEF Working Papers Series with number 1312.
Length: 32 pages
Date of creation: 2013
Date of revision: May 2013
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-06-09 (All new papers)
- NEP-DCM-2013-06-09 (Discrete Choice Models)
- NEP-ECM-2013-06-09 (Econometrics)
- NEP-ETS-2013-06-09 (Econometric Time Series)
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- J. Pfanzagl, 1993. "On the consistency of conditional maximum likelihood estimators," Annals of the Institute of Statistical Mathematics, Springer, vol. 45(4), pages 703-719, December.
- Verbeek, M.J.C.M. & Nijman, T.E., 1990.
"Testing for selectivity bias in panel data models,"
1990-18, Tilburg University, Center for Economic Research.
- Manuel Arellano & Stèphane Bonhomme, 2011. "Nonlinear Panel Data Analysis," Annual Review of Economics, Annual Reviews, vol. 3(1), pages 395-424, 09.
- Florian Heiss, 2008. "Sequential numerical integration in nonlinear state space models for microeconometric panel data," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 23(3), pages 373-389.
- Holly, Alberto & Monfort, Alain, 1986. "Some useful equivalence properties of Hausman's test," Economics Letters, Elsevier, vol. 20(1), pages 39-43.
- Jeffrey M. Wooldridge, 2001.
"Econometric Analysis of Cross Section and Panel Data,"
MIT Press Books,
The MIT Press,
edition 1, volume 1, number 0262232197, January.
- Jeffrey M Wooldridge, 2010. "Econometric Analysis of Cross Section and Panel Data," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262232588, January.
- Till Stowasser & Florian Heiss & Daniel McFadden & Joachim Winter, 2011.
""Healthy, Wealthy and Wise?" Revisited: An Analysis of the Causal Pathways from Socio-economic Status to Health,"
NBER Working Papers
17273, National Bureau of Economic Research, Inc.
- Till Stowasser & Florian Heiss & Daniel McFadden & Joachim Winter, 2011. "“Healthy, Wealthy and Wise?” Revisited: An Analysis of the Causal Pathways from Socioeconomic Status to Health," NBER Chapters, in: Investigations in the Economics of Aging, pages 267-317 National Bureau of Economic Research, Inc.
- Baetschmann, Gregori & Staub, Kevin & Winkelmann, Rainer, 2011. "Consistent Estimation of the Fixed Effects Ordered Logit Model," IZA Discussion Papers 5443, Institute for the Study of Labor (IZA).
- Bartolucci, Francesco & Farcomeni, Alessio, 2009. "A Multivariate Extension of the Dynamic Logit Model for Longitudinal Data Based on a Latent Markov Heterogeneity Structure," Journal of the American Statistical Association, American Statistical Association, vol. 104(486), pages 816-831.
- Chamberlain, Gary, 1980. "Analysis of Covariance with Qualitative Data," Review of Economic Studies, Wiley Blackwell, vol. 47(1), pages 225-38, January.
- Moulton, Brent R., 1986. "Random group effects and the precision of regression estimates," Journal of Econometrics, Elsevier, vol. 32(3), pages 385-397, August.
- Dean R. Hyslop, 1999. "State Dependence, Serial Correlation and Heterogeneity in Intertemporal Labor Force Participation of Married Women," Econometrica, Econometric Society, vol. 67(6), pages 1255-1294, November.
- Vincenzo Atella & Federico Belotti & Domenico Depalo & Andrea Piano Mortari, 2013. "Measuring spatial effects in presence of institutional constraints: the case of Italian Local Health Authority expenditure," CEIS Research Paper 278, Tor Vergata University, CEIS, revised 08 May 2013.
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