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Diagnostic tests for homoskedasticity in spatial cross-sectional or panel models

Author

Listed:
  • Badi H. Baltagi
  • Alain Pirotte

    (CRED - Centre de Recherche en Economie et Droit - Université Paris-Panthéon-Assas)

  • Zhenlin Yang

Abstract

We propose an Adjusted Quasi-Score (AQS) method for constructing tests for homoskedasticity in spatial econometric models. We first obtain an AQS function by adjusting the score-type function from the given model to achieve unbiasedness, and then develop an Outer-Product-of-Martingale-Difference (OPMD) estimate of its variance. In standard problems where a genuine (quasi) score vector is available, the AQS-OPMD method leads to finite sample improved tests over the usual methods. More importantly in non-standard problems where a genuine (quasi) score is not available and the usual methods fail, the proposed AQS-OPMD method provides feasible solutions. The AQS tests are formally derived and asymptotic properties examined for three representative models: spatial cross-sectional, static or dynamic panel models. Monte Carlo results show that the proposed AQS tests have good finite sample properties.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Badi H. Baltagi & Alain Pirotte & Zhenlin Yang, 2021. "Diagnostic tests for homoskedasticity in spatial cross-sectional or panel models," Post-Print hal-04120461, HAL.
    • Handle: RePEc:hal:journl:hal-04120461
    DOI: 10.1016/j.jeconom.2020.10.002
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    Cited by:

    1. Francesco Giordano & Marcella Niglio & Maria Lucia Parrella, 2024. "Testing Spatial Dynamic Panel Data Models with Heterogeneous Spatial and Regression Coefficients," Journal of Time Series Analysis, Wiley Blackwell, vol. 45(5), pages 771-799, September.
    2. Baltagi, Badi H. & Liu, Long, 2025. "Testing for spatial lag dependence and homoskedasticity in a random effects panel data model," Economics Letters, Elsevier, vol. 254(C).

    More about this item

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C18 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Methodolical Issues: 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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