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Asymptotically efficient rank MANOVA tests for restricted alternatives in randomized block designs
Authors:Ming-Tan M. Tsai  Pranas Kumar Sen
Affiliation:(1) Institute of Statistical Sciences, Academia Sinica, 11529 Taipei, Taiwan, Republic of China;(2) Department of Biostatisties, University of North Carolina, 27599-7400 Chapel Hill, NC, U.S.A.;(3) Department of Siatistics, University of North Carolina, 27599-7400 Chapel Hill, NC, U.S.A.
Abstract:In a randomized block design MANOVA model, for intrablock as well as aligned rank tests for homogeneity of treatment effects against some restricted alternatives, asymptotic optimality is studied by reference to the corresponding restrieted likelihood ratio tests. Tests based on aligned ranks are better than intra-block rank tests when the error distributions are homogeneous aeross the blocks.Work of this author was partially supported by the Office of Naval Research, Contract No. N00014-83-K-0987.
Keywords:Intra-block ranking  Kuhn-Tucker-Lagrange point formula  locally most powerful rank test  randomized blocks  ranking after alignment  restricted likelihood ratio tests  union-intersection (UI-) principle
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