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2022, Volume 30, Issue 12: 4574-4592. doi: 10.3934/era.2022232
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Testing for individual and time effects in unbalanced panel data models with time-invariant regressors

  • School of Economics and Statistics, Guangzhou University, Guangzhou 510006, China
  • Received: 08 September 2022 Revised: 01 October 2022 Accepted: 08 October 2022 Published: 18 October 2022

  • In this paper, we use a moment-based method to test the existence of the individual and time effects in unbalanced panel data models with time-invariant regressors. Based on the difference of two variance estimators of idiosyncratic errors, three test statistics are proposed. The test statistics for individual (time) effect is robust when the time (individual) effect exists, and is robust for the correlation between explanatory variables and individual or time effect. Additionally, they do not require prior distributional assumptions on the error term. The asymptotic properties of estimators and the test statistics are given in this paper. The Monte Carlo simulations show that the test statistics have good power in finite samples at various situations and a real example is studied for illustration.

    Citation: Ke Liu, Hanzhong Liu. Testing for individual and time effects in unbalanced panel data models with time-invariant regressors[J]. Electronic Research Archive, 2022, 30(12): 4574-4592. doi: 10.3934/era.2022232

    Related Papers:

  • In this paper, we use a moment-based method to test the existence of the individual and time effects in unbalanced panel data models with time-invariant regressors. Based on the difference of two variance estimators of idiosyncratic errors, three test statistics are proposed. The test statistics for individual (time) effect is robust when the time (individual) effect exists, and is robust for the correlation between explanatory variables and individual or time effect. Additionally, they do not require prior distributional assumptions on the error term. The asymptotic properties of estimators and the test statistics are given in this paper. The Monte Carlo simulations show that the test statistics have good power in finite samples at various situations and a real example is studied for illustration.


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    [1] S. Liu, X. Shen, T. Jiang, P. Failler, Impacts of the financialization of manufacturing enterprises on total factor productivity: empirical examination from China's listed companies, Green Finance, 3 (2021), 59–89. https://doi.org/10.3934/GF.2021005 doi: 10.3934/GF.2021005
    [2] Y. Yao, D. Hu, C. Yang, Y. Tan, The impact and mechanism of fintech on green total factor productivity, Green Finance, 3 (2021), 198–221. https://doi.org/10.3934/GF.2021011 doi: 10.3934/GF.2021011
    [3] T. Tuzcuoğlu, The impact of financial fragility on firm performance: an analysis of BIST companies, Quant. Finance Econ., 4 (2020), 310–342. https://doi.org/10.3934/QFE.2020015 doi: 10.3934/QFE.2020015
    [4] Y. Tan, Z. Li, S. Liu, M. I. Nazir, M. Haris, Competitions in different banking markets and shadow banking: evidence from China, Int. J. Emerging Mark., 17 (2021), 1465–1483. https://doi.org/10.1108/IJOEM-04-2020-0401 doi: 10.1108/IJOEM-04-2020-0401
    [5] T. S. Breusch, A. R. Pagan, The lagrange multiplier test and its applications to model specification in econometrics, Rev. Econ. Stud., 47 (1980), 239–253. https://doi.org/10.2307/2297111 doi: 10.2307/2297111
    [6] Y. Honda, Testing the error components model with non-normal disturbances, Rev. Econ. Stud., 52 (1985), 681–690. https://doi.org/10.2307/2297739 doi: 10.2307/2297739
    [7] B. H. Baltagi, Q. Li, A lagrange multiplier test for the error components model with incomplete panels, Econom. Rev., 9 (1990), 681–690. https://doi.org/10.2307/2297739 doi: 10.2307/2297739
    [8] K. A. Bera, S. Walter, Y. Mann, Tests for the error component model in the presence of local misspecification, J. Econom., 101 (2001), 681–690. https://doi.org/10.1016/S0304-4076(00)00071-3 doi: 10.1016/S0304-4076(00)00071-3
    [9] B.H.Baltagi, Y.Chang, Q.Li, MonteCarloresultson several new and existing testsfortheerror component model, J. Econom., 54 (1992), 95–120. https://doi.org/10.1016/0304-4076(92)90101-V doi: 10.1016/0304-4076(92)90101-V
    [10] J. Wu, G. Li, Moment-based tests for individual and time effects in panel data models, J. Econom., 178 (2014), 569–581. https://doi.org/10.1016/j.jeconom.2013.08.020 doi: 10.1016/j.jeconom.2013.08.020
    [11] M. H. Pesaran, Q. Zhou, Estimation of time-invariant effects in static panel data models, Econom. Rev., 37 (2018), 1137–1171. https://doi.org/10.1080/07474938.2016.1222225 doi: 10.1080/07474938.2016.1222225
    [12] K. Sebastian, S. Claudia, Estimation of linear dynamic panel data models with time-invariant regressors, J. Appl. Econom., 34 (2019), 526–546. https://doi.org/10.1002/jae.2681 doi: 10.1002/jae.2681
    [13] J. Chen, R. Yue, J. Wu, Testing for individual and time effects in the two-way error component model with time-invariant regressors, Econ. Modell., 92 (2020), 216–229. https://doi.org/10.1016/j.econmod.2020.01.002 doi: 10.1016/j.econmod.2020.01.002
    [14] J. Wu, J. Qin, Q. Ding, A moment-based test for individual effects in the error component model with incomplete panels, Stat. Probab. Lett., 104 (2015), 153–162. https://doi.org/10.1016/j.spl.2015.05.013 doi: 10.1016/j.spl.2015.05.013
    [15] J. Wu, G. Li, Q. Xia, Moment-based tests for random effects in the two-way error component model with unbalanced panels, Econ. Modell., 1 (2018), 61–76. https://doi.org/10.1016/j.econmod.2018.05.003 doi: 10.1016/j.econmod.2018.05.003
    [16] J. Chen, R. Yue, J. Wu, Hausman-type tests for individual and time effects in the panel regression model with incomplete data, J. Korean Stat. Soc., 47 (2018), 347–363. https://doi.org/10.1016/j.jkss.2018.04.002 doi: 10.1016/j.jkss.2018.04.002
    [17] P. Wu, L. Zhu, An orthogonality-based estimation of moments for linear mixed models, Scand. J. Stat., 37 (2010), 253–263. https://doi.org/10.1111/j.1467-9469.2009.00673.x doi: 10.1111/j.1467-9469.2009.00673.x
    [18] J. A. Hausman, Specification tests in econometics, Econometrica, 46 (1978), 1251–1271.
    [19] O. S. Sukharev, Structure analysis of income and risk dynamics in models of economic growth, Quant. Finance Econ., 4 (2020), 1–18. https://doi.org/10.3934/QFE.2020001 doi: 10.3934/QFE.2020001
    [20] M. Iuliana, Is financial development good for economic growth? Empirical insights from emerging European countries, Quant. Finance Econ., 4 (2020), 653–678. https://doi.org/10.3934/QFE.2020030 doi: 10.3934/QFE.2020030
    [21] L. Carlsen, Decent work and economic growth in the European Union. A partial order analysis of Eurostat SDG 8 data, Green Finance, 3 (2021), 483–494. https://doi.org/10.3934/GF.2021022 doi: 10.3934/GF.2021022
    [22] B. Richard, B. Henrik, F. Rikard, Multinationals, endogenous growth, and technological spillovers: Theory and evidence, Rev. Int. Econ., 13 (2005), 945–963. https://doi.org/10.1111/j.1467-9396.2005.00546.x doi: 10.1111/j.1467-9396.2005.00546.x
    [23] E. Borensztein, J. D. Gregorio, J. W. Lee, How does foreign direct investment affect economic growth, J. Int. Econ., 45 (1998), 115–135. https://doi.org/10.1016/S0022-1996(97)00033-0 doi: 10.1016/S0022-1996(97)00033-0
    [24] C. Kottaridi, T. Stengos, Foreign direct investment, human capital and non-linearities in economic growth, J. Macroeconomics, 32 (2010), 858–871. https://doi.org/10.1016/j.jmacro.2010.01.004 doi: 10.1016/j.jmacro.2010.01.004
    [25] J. Shao, Z. Xiao, R. Xu, Estimation with unbalanced panel data having covariate measurement error, J. Stat. Plann. Inference, 141 (2011), 800–808. https://doi.org/10.1016/j.jspi.2010.08.003 doi: 10.1016/j.jspi.2010.08.003
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