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Testing for time-invariant unobserved heterogeneity in generalized linear models for panel data

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  • Bartolucci, Francesco
  • Belotti, Federico
  • Peracchi, Franco

Abstract

Recent literature on panel data emphasizes the importance of accounting for time-varying unobservable individual effects, which may stem from either omitted individual characteristics or macro-level shocks that affect each individual unit differently. In this paper, we propose a simple specification test of the null hypothesis that the individual effects are time-invariant against the alternative that they are time-varying. Our test is an application of Hausman (1978) testing procedure and can be used for any generalized linear model for panel data that admits a sufficient statistic for the individual effect. This is a wide class of models which includes the Gaussian linear model and a variety of nonlinear models typically employed for discrete or categorical outcomes. The basic idea of the test is to compare two alternative estimators of the model parameters based on two different formulations of the conditional maximum likelihood method. Our approach does not require assumptions on the distribution of unobserved heterogeneity, nor it requires the latter to be independent of the regressors 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 well, with small size distortions and good power properties. We use a health economics example based on data from the Health and Retirement Study to illustrate the proposed test.

Suggested Citation

  • Bartolucci, Francesco & Belotti, Federico & Peracchi, Franco, 2015. "Testing for time-invariant unobserved heterogeneity in generalized linear models for panel data," Journal of Econometrics, Elsevier, vol. 184(1), pages 111-123.
  • Handle: RePEc:eee:econom:v:184:y:2015:i:1:p:111-123
    DOI: 10.1016/j.jeconom.2014.09.002
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    Cited by:

    1. Francesco, Bartolucci & Silvia, Bacci & Claudia, Pigini, 2015. "A misspecification test for finite-mixture logistic models for clustered binary and ordered responses," MPRA Paper 64220, University Library of Munich, Germany.
    2. De Arcangelis, Giuseppe & Di Porto, Edoardo & Santoni, Gianluca, 2015. "Migration, labor tasks and production structure," Regional Science and Urban Economics, Elsevier, vol. 53(C), pages 156-169.
    3. 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.
    4. repec:eee:ecosta:v:3:y:2017:i:c:p:112-131 is not listed on IDEAS
    5. Samer Hamidi & Fevzi Akinci, 2016. "Measuring Efficiency of Health Systems of the Middle East and North Africa (MENA) Region Using Stochastic Frontier Analysis," Applied Health Economics and Health Policy, Springer, vol. 14(3), pages 337-347, June.
    6. Jean-François BRUN & Tiangboho SANOGO, 2017. "Effect of central transfers on municipalities’ own revenue mobilization: Do conflict and local revenue management matter?," Working Papers 201716, CERDI.
    7. Atella, Vincenzo & Belotti, Federico & Depalo, Domenico & Piano Mortari, Andrea, 2014. "Measuring spatial effects in the presence of institutional constraints: The case of Italian Local Health Authority expenditure," Regional Science and Urban Economics, Elsevier, vol. 49(C), pages 232-241.
    8. repec:spr:stmapp:v:26:y:2017:i:3:d:10.1007_s10260-017-0376-0 is not listed on IDEAS
    9. Brown, Sarah & Ghosh, Pulak & Taylor, Karl, 2014. "The existence and persistence of household financial hardship: A Bayesian multivariate dynamic logit framework," Journal of Banking & Finance, Elsevier, vol. 46(C), pages 285-298.
    10. Jean-François Brun & Tiangboho Sanogo, 2017. "Effect of central transfers on municipalities' own revenue mobilization: Do conflict and local revenue management matter?," Working Papers halshs-01613108, HAL.
    11. Tiangboho Sanogo, 2017. "Does fiscal decentralization enhance citizens’ access to public services and reduce poverty? Evidence from a conflict setting," Working Papers halshs-01582478, HAL.
    12. Tiangboho SANOGO, 2017. "Does fiscal decentralization enhance citizens’ access to public services and reduce poverty? Evidence from a conflict setting," Working Papers 201715, CERDI.

    More about this item

    Keywords

    Generalized linear models; Longitudinal data; Fixed-effects; Hausman-type tests; Self-reported health; Health and Retirement Study;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models
    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions

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