On the Asymptotic Distribution of the Moran I Test Statistic with Applications
By far, the most popular test for spatial correlation is the one based on Moran's (1950) I test statistic. Despite this, the available results in the literature concerning the large sample distribution of this statistic are limited and have been derived under assumptions that do not cover many applications of interest. In this paper we first give a general result concerning the large sample distribution of Moran I type test statistic. We then apply this result to derive the large sample distribution of the Moran I test statistic for a variety of important models for which general spatial correlation testing procedures are not available. In order to establish these results we also give a new central limit theorem for linear-quadratic forms.
|Date of creation:||Feb 1999|
|Date of revision:|
|Contact details of provider:|| Postal: |
Web page: http://www.econ.umd.edu/
|Order Information:|| Postal: Ms. Elizabeth Martinez, Department of Economics, University of Maryland, Tydings Hall, College Park, MD 20742|
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.:
- Moulton, Brent R, 1990. "An Illustration of a Pitfall in Estimating the Effects of Aggregate Variables on Micro Unit," The Review of Economics and Statistics, MIT Press, vol. 72(2), pages 334-38, May.
- Besley, Timothy & Case, Anne, 1995.
"Incumbent Behavior: Vote-Seeking, Tax-Setting, and Yardstick Competition,"
American Economic Review,
American Economic Association, vol. 85(1), pages 25-45, March.
- Timothy Besley & Anne Case, 1992. "Incumbent Behavior: Vote Seeking, Tax Setting and Yardstick Competition," NBER Working Papers 4041, National Bureau of Economic Research, Inc.
- Shroder, Mark, 1995. "Games the States Don't Play: Welfare Benefits and the Theory of Fiscal Federalism," The Review of Economics and Statistics, MIT Press, vol. 77(1), pages 183-91, February.
- Holtz-Eakin, Douglas, 1994. "Public-Sector Capital and the Productivity Puzzle," The Review of Economics and Statistics, MIT Press, vol. 76(1), pages 12-21, February.
- Case, Anne C. & Rosen, Harvey S. & Hines, James Jr., 1993. "Budget spillovers and fiscal policy interdependence : Evidence from the states," Journal of Public Economics, Elsevier, vol. 52(3), pages 285-307, October.
- Lawrence M. Ausubel & Peter Cramton & R. Preston McAfee & John McMillan, 1997.
"Synergies in Wireless Telephony: Evidence from the Broadband PCS Auctions,"
Journal of Economics & Management Strategy,
Wiley Blackwell, vol. 6(3), pages 497-527, 09.
- Lawrence M. Ausubel & Peter Cramton & R. Preston McAfee & John McMillan, 1998. "Synergies in Wireless Telephony: Evidence from the Broadband PCS Auctions," Papers of Peter Cramton 97jems, University of Maryland, Department of Economics - Peter Cramton, revised 09 Jun 1998.
- 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.
- J. Bradford De Long & Lawrence H. Summers, .
"Equipment Investment and Economic Growth,"
J. Bradford De Long's Working Papers
_122, University of California at Berkeley, Economics Department.
- Audretsch, David B & Feldman, Maryann P, 1996. "R&D Spillovers and the Geography of Innovation and Production," American Economic Review, American Economic Association, vol. 86(3), pages 630-40, June.
- Pinkse, Joris & Slade, Margaret E., 1998. "Contracting in space: An application of spatial statistics to discrete-choice models," Journal of Econometrics, Elsevier, vol. 85(1), pages 125-154, July.
- Anne Case, 1993. "Interstate tax competition after TRA86," Journal of Policy Analysis and Management, John Wiley & Sons, Ltd., vol. 12(1), pages 136-148.
- Dubin, Robin A, 1988. "Estimation of Regression Coefficients in the Presence of Spatially Autocorrelated Error Terms," The Review of Economics and Statistics, MIT Press, vol. 70(3), pages 466-74, August.
- Kelejian, Harry H & Prucha, Ingmar R, 1998. "A Generalized Spatial Two-Stage Least Squares Procedure for Estimating a Spatial Autoregressive Model with Autoregressive Disturbances," The Journal of Real Estate Finance and Economics, Springer, vol. 17(1), pages 99-121, July.
- Case, Anne C, 1991. "Spatial Patterns in Household Demand," Econometrica, Econometric Society, vol. 59(4), pages 953-65, July.
- Herman J. Bierens & A. R. Gallant (ed.), 1997. "Nonlinear Models," Books, Edward Elgar, volume 0, number 878, 10.
When requesting a correction, please mention this item's handle: RePEc:umd:umdeco:99-002. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Peter Murrell)
If references are entirely missing, you can add them using this form.