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Testing for individual and time effects in the two-way error component model with time-invariant regressors

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  • Chen, Jing
  • Yue, Rongxian
  • Wu, Jianhong

Abstract

In this paper, we focus on testing for individual and time effects in the two-way error component model with time-invariant regressors. We present the so-called FEF estimators when time-invariant regressors are exogenous and the FEF-IV estimators when one or more of time-invariant variables are endogenous, and obtain their asymptotic properties under some mild conditions. In the light of the moment-based test methods of Wu and Li (2014), we construct several tests for the existence of individual and time effects in the two-way error component model with time-invariant regressors. The resulting tests can be shown to have some desired properties as follows: they do not need any distributional assumptions on the error components; they do not require any assumptions on the correlation among the two random effects and the time-varying regressors; they are robust to the presence of one effect when the other one is tested. Simulation study and real data analysis are carried out for illustration of the above.

Suggested Citation

  • Chen, Jing & Yue, Rongxian & Wu, Jianhong, 2020. "Testing for individual and time effects in the two-way error component model with time-invariant regressors," Economic Modelling, Elsevier, vol. 92(C), pages 216-229.
  • Handle: RePEc:eee:ecmode:v:92:y:2020:i:c:p:216-229
    DOI: 10.1016/j.econmod.2020.01.002
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    Cited by:

    1. Chatelain, Jean-Bernard & Ralf, Kirsten, 2021. "Inference on time-invariant variables using panel data: A pretest estimator," Economic Modelling, Elsevier, vol. 97(C), pages 157-166.

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    More about this item

    Keywords

    Endogenous variable; Panel data; Random effects test; Time-invariant regressor; Two-way error component;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

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