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Asymptotic clarifications,generalizations, and concerns regarding an extended class of matched pairs tests based on powers of ranks
Authors:Paul W. Mielke Jr.  Kenneth J. Berry
Affiliation:(1) Department of Statistics, Colorado State University, 80523 Fort Collins, CO.
Abstract:Recent studies pertaining to an extended class of matched pairs tests based on powers of ranks are discussed. Previous questions regarding the asymptotic properties for this class of tests are clarified and a generalization of this class is described. This generalization raises a previously unanticipated concern about whether or not the analytic comparisons resulting from these tests correspond with an intuitive notion of what is being compared.
Keywords:asymptotic nonnormality  congruence principle  nonparametric tests  permutation tests  robust procedures  Wilcoxon signed-ranks test
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