Spatial Correlation Testing for Errors in Panel Data Regression Model

Authors
S Sasani
M Mohammadzadeh
10.29252/mmr.2.2.13
Abstract
To investigate the spatial error correlation in panel regression models, various statistical hypothesizes and testings have been proposed. This paper, within introduction to spatial panel data regression model, existence of spatial error correlation and random effects is investigated by a joint Lagrange Multiplier test, which simultaneously tests their existence. For this purpose, joint Lagrange Multiplier test statistic and its asymptotic distribution is introduced. A simulation study is performed for considering the size and power of the test this test for joint hypothesizes. Then the application of this test is shown with investigating spatial errors correlation and random effects in data of agricultural product exports of ECO member states. Finally, discussion and conclusion are given.
Keywords
Lagrange Multiplier test
Panel regression model
Spatial panel data
2. Anselin L.,"Spatial Econometrics", Methods and Models, Kluwer Academic Publishers, Dordrecht (1988).

3. Anselin L., Rey S., "Properties of Tests for Spatial Dependence in Linear Regression Models Geographical Analysis", 23 (1991) 112-131.

4. Anselin L., Bera A. K., Florax R., Yoon M. J., "Simple Diagnostic Tests for Spatial Dependence", Regional Science and Urban Economics, 26 (1996) 77-104.

5. Anselin L., Gallo J. L., Jayet H., "Spatial Econometrics In: Matyas, L. and Sevestre, P. (eds.), The Econometrics of Panel Data", Springer-Verlag Berlin Heidelberg (2008) 625-660.

6. Baltagi B. H., "Econometrics Analysis of Panel Data", New York, Wiley (2005).

7. Baltagi B. H., Egger, Pand Pfaffermayr M., "A Generalized Spatial Panel Data Model with Random Effect", Working Paper (2013).

8. Baltagi B. H., Liu L., "Testing for Random Effects and Spatial Lag Dependence in Panel Data Models", Statistics and Probability Letters, 78 (2008) 3290-3306.

9. Baltagi B. H., Song S. H., Koh W., "Testing Panel Data Regression Models with Spatial Error Correlation", Journal of Econometrics, 117 (2003) 123-150.

10. Baltagi B. H., Yang Z., "Standardized LM Tests for Spatial Error Dependence in Linear or Panel Regressions", Econometrics Journal, 16 (2013) 103-134.

11. Breusch T. S., Pagan A. R., "The Lagrange Multiplier Test and its Application in Econometrics", Review of Economic Studies, 47 (1980) 239-254.

12. Goureroux C., Holly A., Monfort A., "Likelihood Ratio Test, Wald Test, and Kuhn-Tucker Test in Linear Models with Inequality Constraints on the Regression Parameters", Econometrica, 50 (1982) 63-80.

13. Harville D. A., "Maximum Likelihood Approaches to Variance Component Estimation and to Related Problems", Journal or the American Statistical Association, 72 (1977) 320-338.

14. Hemmerle W. J., Hartley H. O., "Computing Maximum Likelihood Estimates for the Mixed A. O. V. Model Using the W-Transformation, Technometrics", 15 (1973) 819-831.

15. Honda Y., "Testing the Error Components Model with Non-Normal Disturbances", Review of Economics Studies, 52 (1985) 681-690.

16. Kelejian H. H., Prucha I. R. "On the Asymptotic Distribution of the Moran I Test with Applications", Journal of Econometrics, 104 (2001) 219-257.

17. Volpe-Martincus V. C., "Spatial Effects of Trade Policy": Evidence from Brazil, Journal of Regional Science, 50(2011) 541-569.

18. Wansbeek T. J., Kapteyn A., "A Note on Spectral Decomposition and Maximum Likelihood Estimation of ANOVA Models with Balanced Data", Statistics and Probability Letters, 1 (1983) 213-215.