Testing for Time-Invariant Unobserved Heterogeneity in Generalized Linear Models for Panel Data
Recent 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.
|Date of creation:||2013|
|Date of revision:||May 2013|
|Contact details of provider:|| Postal: Via Sallustiana, 62 - 00187 Roma|
Phone: +39 066790013
Fax: +39 0647924872
Web page: http://www.eief.it/repec
More information through EDIRC
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Hausman, Jerry A, 1978.
"Specification Tests in Econometrics,"
Econometric Society, vol. 46(6), pages 1251-71, November.
- Kneip, Alois & Sickles, Robin C. & Song, Wonho, 2012. "A New Panel Data Treatment For Heterogeneity In Time Trends," Econometric Theory, Cambridge University Press, vol. 28(03), pages 590-628, June.
- Nijman, T.E. & Verbeek, M.J.C.M., 1992. "Testing for selectivity in panel data models," Other publications TiSEM 7ec34a6c-1d84-4052-971c-d, Tilburg University, School of Economics and Management.
- Stowasser, Till & Heiss, Florian & McFadden, Daniel & Winter, Joachim, 2014.
""Healthy, wealthy, and wise?" revisited: An analysis of the causal pathways from socio-economic status to health,"
Discussion Papers in Economics
20846, University of Munich, Department of Economics.
- 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.
- 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.
- Moulton, Brent R., 1986. "Random group effects and the precision of regression estimates," Journal of Econometrics, Elsevier, vol. 32(3), pages 385-397, August.
- Holtz-Eakin, Douglas & Newey, Whitney & Rosen, Harvey S, 1988.
"Estimating Vector Autoregressions with Panel Data,"
Econometric Society, vol. 56(6), pages 1371-95, November.
- Tom Doan, . "RATS program to demonstrate IV estimation of VAR in panel data," Statistical Software Components RTZ00185, Boston College Department of Economics.
- Chamberlain, Gary, 1992. "Efficiency Bounds for Semiparametric Regression," Econometrica, Econometric Society, vol. 60(3), pages 567-96, May.
- Verbeek, M. & Nijman, T., 1990.
"Testing For Selectivity Bias In Panel Data Models,"
9018, Tilburg - Center for Economic Research.
- 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.
- Ruud, Paul A., 1984. "Tests of Specification in Econometrics," Department of Economics, Working Paper Series qt4kq8m0hf, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
- Holly, Alberto & Monfort, Alain, 1986. "Some useful equivalence properties of Hausman's test," Economics Letters, Elsevier, vol. 20(1), pages 39-43.
- Baetschmann, Gregori & Staub, Kevin E. & Winkelmann, Rainer, 2011.
"Consistent Estimation of the Fixed Effects Ordered Logit Model,"
IZA Discussion Papers
5443, Institute for the Study of Labor (IZA).
- Gregori Baetschmann & Kevin E. Staub & Rainer Winkelmann, 2015. "Consistent estimation of the fixed effects ordered logit model," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 178(3), pages 685-703, 06.
- Gourieroux Christian & Monfort Alain & Trognon A, 1981.
"Pseudo maximum likelihood methods : theory,"
CEPREMAP Working Papers (Couverture Orange)
- Seung C. Ahn & Young H. Lee & Peter Schmidt, 2006.
"Panel Data Models with Multiple Time-Varying Individual Effects,"
0702, University of Crete, Department of Economics.
- Ahn, Seung C. & Lee, Young H. & Schmidt, Peter, 2013. "Panel data models with multiple time-varying individual effects," Journal of Econometrics, Elsevier, vol. 174(1), pages 1-14.
- Jushan Bai, 2009. "Panel Data Models With Interactive Fixed Effects," Econometrica, Econometric Society, vol. 77(4), pages 1229-1279, 07.
- Stéphane Bonhomme & Elena Manresa, 2012. "Grouped Patterns Of Heterogeneity In Panel Data," Working Papers wp2012_1208, CEMFI.
- Ahn, Seung Chan & Hoon Lee, Young & Schmidt, Peter, 2001. "GMM estimation of linear panel data models with time-varying individual effects," Journal of Econometrics, Elsevier, vol. 101(2), pages 219-255, April.
- 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.
- Manuel Arellano & Stèphane Bonhomme, 2011. "Nonlinear Panel Data Analysis," Annual Review of Economics, Annual Reviews, vol. 3(1), pages 395-424, 09.
- J. Pfanzagl, 1993. "On the consistency of conditional maximum likelihood estimators," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 45(4), pages 703-719, December.
- Jeffrey M Wooldridge, 2010.
"Econometric Analysis of Cross Section and Panel Data,"
MIT Press Books,
The MIT Press,
edition 2, volume 1, number 0262232588, December.
- Jeffrey M. Wooldridge, 2001. "Econometric Analysis of Cross Section and Panel Data," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262232197, December.
- Gourieroux, Christian & Monfort, Alain & Trognon, Alain, 1984.
"Pseudo Maximum Likelihood Methods: Applications to Poisson Models,"
Econometric Society, vol. 52(3), pages 701-20, May.
- Gourieroux Christian & Monfort Alain & Trognon A, 1982. "Pseudo maximum lilelihood methods : applications to poisson models," CEPREMAP Working Papers (Couverture Orange) 8203, CEPREMAP.
- Hausman, Jerry & Hall, Bronwyn H & Griliches, Zvi, 1984.
"Econometric Models for Count Data with an Application to the Patents-R&D Relationship,"
Econometric Society, vol. 52(4), pages 909-38, July.
- Jerry A. Hausman & Bronwyn H. Hall & Zvi Griliches, 1984. "Econometric Models for Count Data with an Application to the Patents-R&D Relationship," NBER Technical Working Papers 0017, National Bureau of Economic Research, Inc.
- 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.
- Cameron,A. Colin & Trivedi,Pravin K., 2005. "Microeconometrics," Cambridge Books, Cambridge University Press, number 9780521848053, November.
- Cristiano Varin, 2008. "On composite marginal likelihoods," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 92(1), pages 1-28, February.
- Gary Chamberlain, 1980. "Analysis of Covariance with Qualitative Data," Review of Economic Studies, Oxford University Press, vol. 47(1), pages 225-238.
When requesting a correction, please mention this item's handle: RePEc:eie:wpaper:1312. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Facundo Piguillem)
If references are entirely missing, you can add them using this form.