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Power Properties of Invariant Tests for Spatial Autocorrelation in Linear Regression

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  • Martellosio, Federico
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    Abstract

    This paper derives some exact power properties of tests for spatial autocorrelation in the context of a linear regression model. In particular, we characterize the circumstances in which the power vanishes as the autocorrelation increases, thus extending the work of Krämer (2005, Journal of Statistical Planning and Inference 128, 489-496). More generally, the analysis in the paper sheds new light on how the power of tests for spatial autocorrelation is affected by the matrix of regressors and by the spatial structure. We mainly focus on the problem of residual spatial autocorrelation, in which case it is appropriate to restrict attention to the class of invariant tests, but we also consider the case when the autocorrelation is due to the presence of a spatially lagged dependent variable among the regressors. A numerical study aimed at assessing the practical relevance of the theoretical results is included.

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    File URL: http://mpra.ub.uni-muenchen.de/7255/
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    File URL: http://mpra.ub.uni-muenchen.de/10358/
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    Bibliographic Info

    Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 7255.

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    Date of creation: 29 Jan 2008
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    Handle: RePEc:pra:mprapa:7255

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    Related research

    Keywords: Cliff-Ord test; invariant tests; linear regression model; point optimal tests; power; similar tests; spatial autocorrelation;

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    Cited by:
    1. Martellosio, Federico, 2008. "Testing for spatial autocorrelation: the regressors that make the power disappear," MPRA Paper 10542, University Library of Munich, Germany.

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