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Small Sample Properties of Maximum Likelihood Versus Generalized Method of Moments Based Tests for Spatially Autocorrelated Errors

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  • Peter Egger
  • Mario Larch
  • Michael Pfaffermayr
  • Janette Walde

Abstract

This paper undertakes a Monte Carlo study to compare MLE-based and GMM-based tests regarding the spatial autocorrelation coefficient of the error term in a Cliff and Ord type model. The main finding is that a Wald-test based on GMM estimation as derived by Kelejian and Prucha (2005a) performs surprisingly well. Our Monte Carlo study indicates that the GMM Wald-test is correctly sized even in small samples and exhibits the same power as their MLE-based counterparts. Since GMM estimates are much easier to calculate, the GMM Wald-test is recommended for applied researches.

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  • Peter Egger & Mario Larch & Michael Pfaffermayr & Janette Walde, 2005. "Small Sample Properties of Maximum Likelihood Versus Generalized Method of Moments Based Tests for Spatially Autocorrelated Errors," CESifo Working Paper Series 1558, CESifo.
    • Handle: RePEc:ces:ceswps:_1558
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    2. Tiziana Caliman & Enrico di Bella, 2011. "Spatial Autoregressive Models for House Price Dynamics in Italy," Economics Bulletin, AccessEcon, vol. 31(2), pages 1837-1855.
    3. Caliman, Tiziana & Di Bella, Enrico, 2011. "House Price Dynamics in Italy - La dinamica delle quotazioni immobiliari in Italia," Economia Internazionale / International Economics, Camera di Commercio Industria Artigianato Agricoltura di Genova, vol. 64(1), pages 37-65.
    4. Kai Konrad & Stergios Skaperdas, 2012. "The market for protection and the origin of the state," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(2), pages 417-443, June.
    5. Maria Kyriacou & Peter C. B. Phillips & Francesca Rossi, 2017. "Indirect inference in spatial autoregression," Econometrics Journal, Royal Economic Society, vol. 20(2), pages 168-189, June.
    6. Zhang, Yanfang & Nie, Rui & Shi, Xunpeng & Qian, Xiangyan & Wang, Ke, 2019. "Can energy-price regulations smooth price fluctuations? Evidence from China’s coal sector," Energy Policy, Elsevier, vol. 128(C), pages 125-135.
    7. Giuseppe Arbia, 2011. "A Lustrum of SEA: Recent Research Trends Following the Creation of the Spatial Econometrics Association (2007--2011)," Spatial Economic Analysis, Taylor & Francis Journals, vol. 6(4), pages 377-395, July.
    8. Maria Kyriacou & Peter C. B. Phillips & Francesca Rossi, 2017. "Indirect inference in spatial autoregression," Econometrics Journal, Royal Economic Society, vol. 20(2), pages 168-189, June.
    9. Daniel Arribas-Bel & Julia Koschinsky & Pedro Amaral, 2012. "Improving the multi-dimensional comparison of simulation results: a spatial visualization approach," Letters in Spatial and Resource Sciences, Springer, vol. 5(2), pages 55-63, July.

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    Keywords

    spatial autocorrelation; hypothesis tests; Monte Carlo studies; maximum likelihood estimation; generalized method of moments;
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