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Specification Tests for Temporal Heterogeneity in Spatial Panel Models with Fixed Effects

Author

Listed:
  • Xu, Yuhong

    (School of Economics, Singapore Management University)

  • Yang, Zhenlin

    (School of Economics, Singapore Management University)

Abstract

We propose score type tests for testing the existence of temporal heterogeneity in slope and spatial parameters in spatial panel data (SPD) models, allowing for the presence of individual-specific and/or time-specific fixed effects (or in general intercept heterogeneity). The SPD model with spatial lag effect is treated in detail by first considering the model with individual-specific effects only, and then extending it to the model with both individual and time specific effects. Two types of tests (naive and robust) are proposed, and their asymptotic properties are presented. These tests are then fully extended to an SPD model with both spatial lag and spatial error effects. Monte Carlo results show that the robust tests have much superior finite and large sample properties than the naive tests. Thus, the proposed robust tests provide reliable tools for identifying possible existence of temporal heterogeneity in regression and spatial coefficients. Empirical illustrations of the proposed tests are given.

Suggested Citation

  • Xu, Yuhong & Yang, Zhenlin, 2019. "Specification Tests for Temporal Heterogeneity in Spatial Panel Models with Fixed Effects," Economics and Statistics Working Papers 5-2019, Singapore Management University, School of Economics.
    • Handle: RePEc:ris:smuesw:2019_005
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    File URL: https://ink.library.smu.edu.sg/soe_research/2242/
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    Cited by:

    1. Zhenlin Yang, 2021. "Joint tests for dynamic and spatial effects in short panels with fixed effects and heteroskedasticity," Empirical Economics, Springer, vol. 60(1), pages 51-92, January.

    More about this item

    Keywords

    Spatial panels; Fixed effects; Time-Varying Covariate Effects; Time-Varying Spatial Effects; Change Points;
    All these keywords.

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

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