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Omitted factors and spatial lags in the dependent variable

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  • Harry Kelejian

Abstract

It’s been suggested a number of times that the significance of the estimated coefficient of the spatial lag of the dependent variable may be the result of an omitted common factor which may be spatially correlated-see, among others, (Gibbons and Overman in J Reg Sci 52:172–191 2012 and Corrado and Fingleton in J Reg Sci 52(2):210–239 2012 ). The concern is important because this parameter is often of primary interest. The purpose of this paper is to consider this issue in a formal context. We give conditions under which the estimator of that parameter is consistent and asymptotically normal, and when it is not. We consider two cases. In one case the omitted factor is exogenous, and in the other it is endogenous. We give results for both cases. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Harry Kelejian, 2014. "Omitted factors and spatial lags in the dependent variable," Letters in Spatial and Resource Sciences, Springer, vol. 7(1), pages 23-33, March.
    • Handle: RePEc:spr:lsprsc:v:7:y:2014:i:1:p:23-33
    DOI: 10.1007/s12076-013-0098-3
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    References listed on IDEAS

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    1. Parent, Olivier & LeSage, James P., 2010. "A spatial dynamic panel model with random effects applied to commuting times," Transportation Research Part B: Methodological, Elsevier, vol. 44(5), pages 633-645, June.
    2. Kelejian, Harry H. & Murrell, Peter & Shepotylo, Oleksandr, 2013. "Spatial spillovers in the development of institutions," Journal of Development Economics, Elsevier, vol. 101(C), pages 297-315.
    3. Stephen Gibbons & Henry G. Overman, 2012. "Mostly Pointless Spatial Econometrics?," Journal of Regional Science, Wiley Blackwell, vol. 52(2), pages 172-191, May.
    4. Luisa Corrado & Bernard Fingleton, 2012. "Where Is The Economics In Spatial Econometrics?," Journal of Regional Science, Wiley Blackwell, vol. 52(2), pages 210-239, May.
    5. Kelejian, Harry H. & Prucha, Ingmar R., 2004. "Estimation of simultaneous systems of spatially interrelated cross sectional equations," Journal of Econometrics, Elsevier, vol. 118(1-2), pages 27-50.
    6. Kim, Min Seong & Sun, Yixiao, 2011. "Spatial heteroskedasticity and autocorrelation consistent estimation of covariance matrix," Journal of Econometrics, Elsevier, vol. 160(2), pages 349-371, February.
    7. Harry H. Kelejian & Purba Mukerji, 2011. "Important dynamic indices in spatial models," Papers in Regional Science, Wiley Blackwell, vol. 90(4), pages 693-702, November.
    8. Brasington, David M. & Hite, Diane, 2005. "Demand for environmental quality: a spatial hedonic analysis," Regional Science and Urban Economics, Elsevier, vol. 35(1), pages 57-82, January.
    9. Kelejian, Harry H. & Prucha, Ingmar R., 2007. "HAC estimation in a spatial framework," Journal of Econometrics, Elsevier, vol. 140(1), pages 131-154, September.
    10. Harry Kelejian & George Tavlas & George Hondroyiannis, 2006. "A Spatial Modelling Approach to Contagion Among Emerging Economies," Open Economies Review, Springer, vol. 17(4), pages 423-441, December.
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    More about this item

    Keywords

    Spatial lag in dependent variable; Omitted factor; Estimation consistency; C01; C12; C13;
    All these keywords.

    JEL classification:

    • C01 - Mathematical and Quantitative Methods - - General - - - Econometrics
    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General

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