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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.<\/jats:p>","DOI":"10.1017\/s0266466609090641","type":"journal-article","created":{"date-parts":[[2009,8,13]],"date-time":"2009-08-13T09:05:16Z","timestamp":1250154316000},"page":"152-186","source":"Crossref","is-referenced-by-count":27,"title":["POWER PROPERTIES OF INVARIANT TESTS FOR SPATIAL AUTOCORRELATION IN LINEAR REGRESSION"],"prefix":"10.1017","volume":"26","author":[{"given":"Federico","family":"Martellosio","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"56","published-online":{"date-parts":[[2009,8,13]]},"reference":[{"key":"S0266466609090641_ref59","doi-asserted-by":"publisher","DOI":"10.1080\/03610928908830130"},{"key":"S0266466609090641_ref56","doi-asserted-by":"publisher","DOI":"10.2307\/1911337"},{"key":"S0266466609090641_ref55","first-page":"2463","article-title":"The limiting power of point optimal autocorrelation tests","volume":"22","author":"Small","year":"1993","journal-title":"Communications in Statistics: Theory and Methods"},{"key":"S0266466609090641_ref53","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1016\/S0304-4076(97)00097-3","article-title":"Contracting in space: An application of spatial statistics to discrete-choice models","volume":"85","author":"Pinske","year":"1998","journal-title":"Journal of Econometrics"},{"key":"S0266466609090641_ref52","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmva.2006.08.001"},{"key":"S0266466609090641_ref48","doi-asserted-by":"publisher","DOI":"10.1023\/B:REAL.0000035310.20223.e9"},{"key":"S0266466609090641_ref47","volume-title":"Testing Statistical Hypotheses","author":"Lehmann","year":"2005"},{"key":"S0266466609090641_ref46","doi-asserted-by":"publisher","DOI":"10.1017\/S0266466602182028"},{"key":"S0266466609090641_ref43","doi-asserted-by":"publisher","DOI":"10.1016\/0304-4076(85)90005-3"},{"key":"S0266466609090641_ref39","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1111\/j.2517-6161.1981.tb01180.x","article-title":"A small sample property of the Cliff-Ord test for spatial autocorrelation","volume":"43","author":"King","year":"1981","journal-title":"Journal of the Royal Statistical Society"},{"key":"S0266466609090641_ref38","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176345199"},{"key":"S0266466609090641_ref34","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-4076(01)00064-1"},{"key":"S0266466609090641_ref32","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176345143"},{"key":"S0266466609090641_ref31","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1111\/j.2517-6161.1970.tb00830.x","article-title":"Application of likelihood methods to models involving large numbers of parameters","volume":"32","author":"Kalbfleisch","year":"1970","journal-title":"Journal of the Royal Statistical Society"},{"key":"S0266466609090641_ref30","doi-asserted-by":"publisher","DOI":"10.2307\/1909244"},{"key":"S0266466609090641_ref29","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177728846"},{"key":"S0266466609090641_ref28","doi-asserted-by":"publisher","DOI":"10.1093\/biomet\/48.3-4.419"},{"key":"S0266466609090641_ref27","unstructured":"Huse C ., (2006) Term Structure Modelling with Spatial Dependence and Observable State Variables. 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