Martellosio, Federico (2008): Testing for spatial autocorrelation: the regressors that make the power disappear.

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Abstract
We show that for any sample size, any size of the test, and any weights matrix outside a small class of exceptions, there exists a positive measure set of regression spaces such that the power of the CliffOrd test vanishes as the autocorrelation increases in a spatial error model. This result extends to the tests that define the Gaussian power envelope of all invariant tests for residual spatial autocorrelation. In most cases, the regression spaces such that the problem occurs depend on the size of the test, but there also exist regression spaces such that the power vanishes regardless of the size. A characterization of such particularly hostile regression spaces is provided.
Item Type:  MPRA Paper 

Original Title:  Testing for spatial autocorrelation: the regressors that make the power disappear 
Language:  English 
Keywords:  CliffOrd test; point optimal tests; power; spatial error model; spatial lag model; spatial unit root 
Subjects:  C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General > C12  Hypothesis Testing: General C  Mathematical and Quantitative Methods > C2  Single Equation Models; Single Variables > C21  CrossSectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions 
Item ID:  10542 
Depositing User:  Federico Martellosio 
Date Deposited:  18. Sep 2008 10:02 
Last Modified:  12. Feb 2013 09:26 
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URI:  http://mpra.ub.unimuenchen.de/id/eprint/10542 