Small sample properties of maximum likelihood versus generalized method of moments based tests for spatially autocorrelated errors
AbstractMany applied researchers have to deal with spatially autocorrelated residuals (SAR). Available tests that identify spatial spillovers as captured by a significant SAR parameter, are either based on maximum likelihood (MLE) or generalized method of moments (GMM) estimates. This paper illustrates the properties of various tests for the null hypothesis of a zero SAR parameter in a comprehensive Monte Carlo study. The main finding is that Wald tests generally perform well regarding both size and power even in small samples. The GMM-based Wald test is correctly sized even for non-normally distributed disturbances and small samples, and it exhibits a similar power as its MLE-based counterpart. Hence, for the applied researcher the GMM Wald test can be recommended, because it is easy to implement.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Elsevier in its journal Regional Science and Urban Economics.
Volume (Year): 39 (2009)
Issue (Month): 6 (November)
Contact details of provider:
Web page: http://www.elsevier.com/locate/regec
Spatial autocorrelation Hypothesis tests Monte Carlo studies Maximum likelihood estimation Generalized method of moments;
Other versions of this item:
- 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 Group Munich.
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Lung-fei Lee, 2003. "Best Spatial Two-Stage Least Squares Estimators for a Spatial Autoregressive Model with Autoregressive Disturbances," Econometric Reviews, Taylor & Francis Journals, vol. 22(4), pages 307-335.
- Conley, T. G., 1999. "GMM estimation with cross sectional dependence," Journal of Econometrics, Elsevier, vol. 92(1), pages 1-45, September.
- Luc Anselin & Rosina Moreno, 2001.
"Properties of tests for spatial error components,"
ERSA conference papers
ersa01p183, European Regional Science Association.
- White,Halbert, 1996.
"Estimation, Inference and Specification Analysis,"
Cambridge University Press, number 9780521574464, October.
- Kelejian, Harry H. & Prucha, Ingmar R., 2002. "2SLS and OLS in a spatial autoregressive model with equal spatial weights," Regional Science and Urban Economics, Elsevier, vol. 32(6), pages 691-707, November.
- H. Kelejian, Harry & Prucha, Ingmar R., 2001. "On the asymptotic distribution of the Moran I test statistic with applications," Journal of Econometrics, Elsevier, vol. 104(2), pages 219-257, September.
- Davidson, Russell & MacKinnon, James G, 1998.
"Graphical Methods for Investigating the Size and Power of Hypothesis Tests,"
The Manchester School of Economic & Social Studies,
University of Manchester, vol. 66(1), pages 1-26, January.
- Russell Davidson & James G. MacKinnon, 1994. "Graphical Methods for Investigating the Size and Power of Hypothesis Tests," Working Papers 903, Queen's University, Department of Economics.
- Kelejian, Harry H & Prucha, Ingmar R, 1999. "A Generalized Moments Estimator for the Autoregressive Parameter in a Spatial Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(2), pages 509-33, May.
- Aten, Bettina, 1996. "Evidence of Spatial Autocorrelation in International Prices," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 42(2), pages 149-63, June.
- Joris Pinkse & Margaret E. Slade & Craig Brett, 2002. "Spatial Price Competition: A Semiparametric Approach," Econometrica, Econometric Society, vol. 70(3), pages 1111-1153, May.
- Anselin, Luc & Bera, Anil K. & Florax, Raymond & Yoon, Mann J., 1996. "Simple diagnostic tests for spatial dependence," Regional Science and Urban Economics, Elsevier, vol. 26(1), pages 77-104, February.
- Lung-Fei Lee, 2004. "Asymptotic Distributions of Quasi-Maximum Likelihood Estimators for Spatial Autoregressive Models," Econometrica, Econometric Society, vol. 72(6), pages 1899-1925, November.
- Saavedra, Luz A., 2003. "Tests for spatial lag dependence based on method of moments estimation," Regional Science and Urban Economics, Elsevier, vol. 33(1), pages 27-58, January.
- Tiziana Caliman & Enrico di Bella, 2011. "Spatial Autoregressive Models for House Price Dynamics in Italy," Economics Bulletin, AccessEcon, vol. 31(2), pages 1837-1855.
- Konrad, Kai A & Skaperdas, Stergios, 1999.
"The Market for Protection and the Origin of the State,"
CEPR Discussion Papers
2173, C.E.P.R. Discussion Papers.
- Kai Konrad & Stergios Skaperdas, 2012. "The market for protection and the origin of the state," Economic Theory, Springer, vol. 50(2), pages 417-443, June.
- Kai A. Konrad & Stergios Skaperdas, 2005. "The Market for Protection and the Origin of the State," CESifo Working Paper Series 1578, CESifo Group Munich.
- Konrad, Kai A. & Skaperdas, Stergios, 2012. "The market for protection and the origin of the state," Munich Reprints in Economics 13961, University of Munich, Department of Economics.
- 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.
- 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 di Genova, vol. 64(1), pages 37-65.
Benny Geys & Federico Revelli, 2011. "Economic and political foundations of local tax structures: an empirical investigation of the tax mix of Flemish municipalities," Environment and Planning C: Government and Policy, Pion Ltd, London, vol. 29(3), pages 410-427, June.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.