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A Generalized Spatial Panel Data Model with Random Effects

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  • Badi H. Baltagi
  • Peter Egger
  • Michael Pfaffermayr

Abstract

This paper proposes a generalized panel data model with random effects and first-order spatially autocorrelated residuals that encompasses two previously suggested specifications. The first one is described in Anselin’s (1988) book and the second one by Kapoor, Kelejian, and Prucha (2007). Our encompassing specification allows us to test for these models as restricted specifications. In particular, we derive three LM and LR tests that restrict our generalized model to obtain (i) the Anselin model, (ii) the Kapoor, Kelejian, and Prucha model, and (iii) the simple random effects model that ignores the spatial correlation in the residuals. For two of these three tests, we obtain closed form solutions and we derive their large sample distributions. Our Monte Carlo results show that the suggested tests are powerful in testing for these restricted specifications even in small and medium sized samples.

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Bibliographic Info

Paper provided by CESifo Group Munich in its series CESifo Working Paper Series with number 3930.

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Date of creation: 2012
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Handle: RePEc:ces:ceswps:_3930

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Related research

Keywords: panel data; spatially autocorrelated residuals; maximum-likelihood estimation; Lagrange multiplier; likelihood ratio;

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References

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  1. Zhenlin Yang, 2009. "A Robust LM Test for Spatial Error Components," Development Economics Working Papers 22488, East Asian Bureau of Economic Research.
  2. M. Hashem Pesaran & Elisa Tosetti, 2011. "Large panels with common factors and spatial correlation," Post-Print hal-00796743, HAL.
  3. Kapoor, Mudit & Kelejian, Harry H. & Prucha, Ingmar R., 2007. "Panel data models with spatially correlated error components," Journal of Econometrics, Elsevier, vol. 140(1), pages 97-130, September.
  4. Alexander Chudik & M. Hashem Pesaran & Elisa Tosetti, 2011. "Weak and strong cross‐section dependence and estimation of large panels," Econometrics Journal, Royal Economic Society, vol. 14(1), pages C45-C90, February.
  5. Abadir,Karim M. & Magnus,Jan R., 2005. "Matrix Algebra," Cambridge Books, Cambridge University Press, number 9780521822893, 9.
  6. Sarafidis, Vasilis & Wansbeek, Tom, 2010. "Cross-sectional Dependence in Panel Data Analysis," MPRA Paper 20367, University Library of Munich, Germany.
  7. 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.
  8. Harry H. Kelejian & Ingmar R. Prucha, 2008. "Specification and Estimation of Spatial Autoregressive Models with Autoregressive and Heteroskedastic Disturbances," CESifo Working Paper Series 2448, CESifo Group Munich.
  9. Lung-Fei Lee, 2004. "Asymptotic Distributions of Quasi-Maximum Likelihood Estimators for Spatial Autoregressive Models," Econometrica, Econometric Society, Econometric Society, vol. 72(6), pages 1899-1925, November.
  10. Lee, Lung-fei & Yu, Jihai, 2010. "Estimation of spatial autoregressive panel data models with fixed effects," Journal of Econometrics, Elsevier, vol. 154(2), pages 165-185, February.
  11. Baltagi, Badi H. & Song, Seuck Heun & Koh, Won, 2003. "Testing panel data regression models with spatial error correlation," Journal of Econometrics, Elsevier, vol. 117(1), pages 123-150, November.
  12. Kelejian, Harry H. & Prucha, Ingmar R., 2010. "Specification and estimation of spatial autoregressive models with autoregressive and heteroskedastic disturbances," Journal of Econometrics, Elsevier, vol. 157(1), pages 53-67, July.
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Citations

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Cited by:
  1. Seo-Young Cho & Axel Dreher & Eric Neumayer, 2012. "The Determinants of Anti-trafficking Policies: Evidence from a New Index," Economics of Security Working Paper Series 72, DIW Berlin, German Institute for Economic Research.
  2. Badi H. BALTAGI & Peter EGGER & Michael PFAFFERMAYR, 2007. "A Monte Carlo Study for Pure and Pretest Estimators of a Panel Data Model with Spatially Autocorrelated Disturbances," Annales d'Economie et de Statistique, ENSAE, issue 87-88, pages 11-38.
  3. Arnab Bhattacharjee & Sean Holly, 2011. "Structural interactions in spatial panels," Empirical Economics, Springer, vol. 40(1), pages 69-94, February.
  4. Debarsy, Nicolas & Ertur, Cem, 2010. "Testing for spatial autocorrelation in a fixed effects panel data model," Regional Science and Urban Economics, Elsevier, vol. 40(6), pages 453-470, November.
  5. Harald Badinger & Peter Egger, 2011. "Estimation of spatial autoregressive M-way error component panel data models," The Annals of Regional Science, Springer, vol. 47(2), pages 269-310, October.
  6. Pesaran, M. Hashem & Tosetti, Elisa, 2011. "Large panels with common factors and spatial correlation," Journal of Econometrics, Elsevier, vol. 161(2), pages 182-202, April.
  7. He, Ming & Lin, Kuan-Pin, 2013. "Locally adjusted LM test for spatial dependence in fixed effects panel data models," Economics Letters, Elsevier, vol. 121(1), pages 59-63.
  8. Harald Badinger & Peter Egger, 2014. "Fixed Effects and Random Effects Estimation of Higher-Order Spatial Autoregressive Models with Spatial Autoregressive and Heteroskedastic Disturbances," Department of Economics Working Papers wuwp173, Vienna University of Economics, Department of Economics.
  9. Giovanni Millo & Gianfranco Piras, . "splm: Spatial Panel Data Models in R," Journal of Statistical Software, American Statistical Association, American Statistical Association, vol. 47(i01).
  10. Hermann Pythagore Pierre Donfouet & P. Wilner Jeanty & Eric Malin, 2013. "A Spatial Dynamic Panel Analysis of Corruption," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 201324, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.
  11. James Gaughan & Hugh Gravelle & Luigi Siciliani, 2014. "Testing the bed-blocking hypothesis: does higher supply of nursing and care homes reduce delayed hospital discharges?," Working Papers, Centre for Health Economics, University of York 102cherp, Centre for Health Economics, University of York.
  12. Millo, Giovanni, 2014. "Maximum likelihood estimation of spatially and serially correlated panels with random effects," Computational Statistics & Data Analysis, Elsevier, vol. 71(C), pages 914-933.
  13. Harry H. Kelejian & Gianfranco Piras, 2013. "A J-Test for Panel Models with Fixed Effects, Spatial and Time," Working Papers 201303, Regional Research Institute, West Virginia University.
  14. Harald Badinger & Peter Egger, 2009. "Estimation of Higher-Order Spatial Autoregressive Panel Data Error Component Models," CESifo Working Paper Series 2556, CESifo Group Munich.
  15. Lee, Lung-fei & Yu, Jihai, 2010. "Estimation of spatial autoregressive panel data models with fixed effects," Journal of Econometrics, Elsevier, vol. 154(2), pages 165-185, February.

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