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Estimating the asymptotic relative efficiency of weighted rankings
Authors:Claudio Silva  Dana Quade
Institution:1. Facultad de Ciencia , Universidad de Santiago de Chile , Santiago, Chile;2. Department of Biostatistics , University of North Carolina , Chapel Hill, NC, 27514
Abstract:Five tests for the hypothesis of no treatment effects in complete blocks designs are compared with respect to asymptotic relative efficiency: the ordinary two-way analysis of variance, the analysis of variance of ranks (Friedman, 1937), the method of ranking after alignment (Hodges and Lehmann, 1962), and a method of weighted rankings proposed by Quade (1972, 1979). This comparison required devising a procedure for estimating the asymptotic relative efficiencies of test statistics with asymp-totic chi-squared distributions.
Keywords:complete blocks designs  Monte Carlo study  two-way analysis of variance  Friedman test  ranking after alignment
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