Martellosio, Federico (2006): Power Properties of Invariant Tests for Spatial Autocorrelation in Linear Regression.
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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, 489496). 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.
Item Type:  MPRA Paper 

Original Title:  Power Properties of Invariant Tests for Spatial Autocorrelation in Linear Regression 
Language:  English 
Keywords:  CliffOrd test; invariant tests; linear regression model; point optimal tests; power; similar tests; spatial autocorrelation 
Subjects:  C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General > C12  Hypothesis Testing: General C  Mathematical and Quantitative Methods > C3  Multiple or Simultaneous Equation Models ; Multiple Variables > C31  CrossSectional Models ; Spatial Models ; Treatment Effect Models ; Quantile Regressions ; Social Interaction Models C  Mathematical and Quantitative Methods > C2  Single Equation Models ; Single Variables > C21  CrossSectional Models ; Spatial Models ; Treatment Effect Models ; Quantile Regressions C  Mathematical and Quantitative Methods > C0  General > C01  Econometrics 
Item ID:  10358 
Depositing User:  Federico Martellosio 
Date Deposited:  11 Sep 2008 04:47 
Last Modified:  26 Sep 2019 23:32 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/10358 
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Power Properties of Invariant Tests for Spatial Autocorrelation in Linear Regression. (deposited 19 Feb 2008 00:38)
 Power Properties of Invariant Tests for Spatial Autocorrelation in Linear Regression. (deposited 11 Sep 2008 04:47) [Currently Displayed]