IDEAS home Printed from https://ideas.repec.org/a/sae/inrsre/v20y1997i1-2p153-182.html
   My bibliography  Save this article

Testing for Spatial Error Autocorrelation in the Presence of Endogenous Regressors

Author

Listed:
  • Luc Anselin

    (Regional Research Institute and Department of Economics, West Virginia University, Morgantown, WV 26506-6825 USA, lanselin@lwvu.edu)

  • Harry H. Kelejian

    (Department of Economics, University of Maryland, College Park, MD 20742 USA, kelejian@econ.umd.edu)

Abstract

This paper examines the properties of Moran's I test for spatial error autocorrelation when endogenous variables are included in the regression specification and estimation is carried out by means of instrumental variables procedures (such as two-stage least squares). The asymptotic distribution of the statistic is formally derived in a general model that encompasses endogeneity due to system feed-backs as well as spatial interaction (in the form of spatially lagged dependent variables). The small-sample performance of the test is assessed in a series of Monte Carlo simulation experiments, and the test is compared to a number of ad hoc approaches that have been suggested in the literature. While some of these ad hoc procedures perform surprisingly well, the new test is the only acceptable one in the presence of spatially lagged dependent variables. The test is straightforward to compute and should become part of routine specification testing of models with endogeneity that are estimated for cross-sectional data.

Suggested Citation

  • Luc Anselin & Harry H. Kelejian, 1997. "Testing for Spatial Error Autocorrelation in the Presence of Endogenous Regressors," International Regional Science Review, , vol. 20(1-2), pages 153-182, April.
    • Handle: RePEc:sae:inrsre:v:20:y:1997:i:1-2:p:153-182
    DOI: 10.1177/016001769702000109
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1177/016001769702000109
    Download Restriction: no
    File URL: https://libkey.io/10.1177/016001769702000109?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Luc Anselin & Raymond J. G. M. Florax, 1995. "Small Sample Properties of Tests for Spatial Dependence in Regression Models: Some Further Results," Advances in Spatial Science, in: Luc Anselin & Raymond J. G. M. Florax (ed.), New Directions in Spatial Econometrics, chapter 2, pages 21-74, Springer.
    2. Harry H. Kelejian & Dennis P. Robinson, 1993. "A Suggested Method Of Estimation For Spatial Interdependent Models With Autocorrelated Errors, And An Application To A County Expenditure Model," Papers in Regional Science, Wiley Blackwell, vol. 72(3), pages 297-312, July.
    3. 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.
    4. Weibull, Jorgen W., 1976. "An axiomatic approach to the measurement of accessibility," Regional Science and Urban Economics, Elsevier, vol. 6(4), pages 357-379, December.
    5. Hordijk, L., 1974. "Spatial correlation in the disturbances of a linear interregional model," Regional and Urban Economics, Elsevier, vol. 4(2), pages 117-140, October.
    6. 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.
    7. Anselin, Luc, 1990. "Some robust approaches to testing and estimation in spatial econometrics," Regional Science and Urban Economics, Elsevier, vol. 20(2), pages 141-163, September.
    8. Davidson, Russell & MacKinnon, James G., 1993. "Estimation and Inference in Econometrics," OUP Catalogue, Oxford University Press, number 9780195060119.
    9. Bartels, Cornelis P. A. & Hordijk, Leen, 1977. "On the power of the generalized Moran contiguity coefficient in testing for spatial autocorrelation among regression disturbances," Regional Science and Urban Economics, Elsevier, vol. 7(1-2), pages 83-101, March.
    10. Harry H. Kelejian & Dennis P. Robinson, 1997. "Infrastructure Productivity Estimation And Its Underlying Econometric Specifications: A Sensitivity Analysis," Papers in Regional Science, Wiley Blackwell, vol. 76(1), pages 115-131, January.
    11. Raymond J. G. M. Florax & Serge Rey, 1995. "The Impacts of Misspecified Spatial Interaction in Linear Regression Models," Advances in Spatial Science, in: Luc Anselin & Raymond J. G. M. Florax (ed.), New Directions in Spatial Econometrics, chapter 5, pages 111-135, Springer.
    12. Anselin, Luc & Hudak, Sheri, 1992. "Spatial econometrics in practice : A review of software options," Regional Science and Urban Economics, Elsevier, vol. 22(3), pages 509-536, September.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. LE GALLO, Julie, 2000. "Econométrie spatiale 1 -Autocorrélation spatiale," LATEC - Document de travail - Economie (1991-2003) 2000-05, LATEC, Laboratoire d'Analyse et des Techniques EConomiques, CNRS UMR 5118, Université de Bourgogne.
    2. Julie Le Gallo, 2000. "Spatial econometrics (1, Spatial autocorrelation) [Econométrie spatiale (1, Autocorrélation spatiale)]," Working Papers hal-01527290, HAL.
    3. 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.
    4. Thomas de Graaff & Raymond J.G.M. Florax & Peter Nijkamp & Aura Reggiani, 1998. "Diagnostic Tools for Nonlinearity in Spatial Models," Tinbergen Institute Discussion Papers 98-072/3, Tinbergen Institute.
    5. Fang, Ying & Park, Sung Y. & Zhang, Jinfeng, 2014. "A simple spatial dependence test robust to local and distributional misspecifications," Economics Letters, Elsevier, vol. 124(2), pages 203-206.
    6. Zhou, Bin (Brenda) & Kockelman, Kara M., 2009. "Predicting the distribution of households and employment: a seemingly unrelated regression model with two spatial processes," Journal of Transport Geography, Elsevier, vol. 17(5), pages 369-376.
    7. Kelejian, Harry H. & Robinson, Dennis P., 1998. "A suggested test for spatial autocorrelation and/or heteroskedasticity and corresponding Monte Carlo results," Regional Science and Urban Economics, Elsevier, vol. 28(4), pages 389-417, July.
    8. repec:asg:wpaper:1013 is not listed on IDEAS
    9. López, Fernando & Matilla-García, Mariano & Mur, Jesús & Marín, Manuel Ruiz, 2010. "A non-parametric spatial independence test using symbolic entropy," Regional Science and Urban Economics, Elsevier, vol. 40(2-3), pages 106-115, May.
    10. Julie Le Gallo, 2002. "Économétrie spatiale : l'autocorrélation spatiale dans les modèles de régression linéaire," Economie & Prévision, La Documentation Française, vol. 155(4), pages 139-157.
    11. Anselin, Luc, 2007. "Spatial econometrics in RSUE: Retrospect and prospect," Regional Science and Urban Economics, Elsevier, vol. 37(4), pages 450-456, July.
    12. Oliviero A. Carboni & Claudio Detotto, 2016. "The economic consequences of crime in Italy," Journal of Economic Studies, Emerald Group Publishing Limited, vol. 43(1), pages 122-140, January.
    13. Cem Ertur & Julie Le Gallo & Catherine Baumont, 2006. "The European Regional Convergence Process, 1980-1995: Do Spatial Regimes and Spatial Dependence Matter?," International Regional Science Review, , vol. 29(1), pages 3-34, January.
    14. 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 509-533, May.
    15. 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.
    16. Huysentruyt, Marieke & Lefevere, Eva & Menon, Carlo, 2013. "Dynamics of retail-bank branching in Antwerp (Belgium) 1991–2006: Evidence from micro-geographic data," Journal of Banking & Finance, Elsevier, vol. 37(2), pages 291-304.
    17. Florax, Raymond J. G. M. & Folmer, Hendrik & Rey, Sergio J., 2003. "Specification searches in spatial econometrics: the relevance of Hendry's methodology," Regional Science and Urban Economics, Elsevier, vol. 33(5), pages 557-579, September.
    18. 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.
    19. 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.
    20. Yihua Yu & Jing Wang & Xi Tian, 2016. "Identifying the Flypaper Effect in the Presence of Spatial Dependence: Evidence from Education in China's Counties," Growth and Change, Wiley Blackwell, vol. 47(1), pages 93-110, March.
    21. Oliviero A. Carboni, 2013. "A spatial analysis of R&D: the role of industry proximity," Economics of Innovation and New Technology, Taylor & Francis Journals, vol. 22(8), pages 820-839, November.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:sae:inrsre:v:20:y:1997:i:1-2:p:153-182. See general information about how to correct material in RePEc.

    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 CitEc recognized a bibliographic reference but did not link an item in RePEc 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 RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: SAGE Publications (email available below). General contact details of provider: .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.