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Rank-Based Two Sample Tests Under A General Alternative, Jamye Curry
Rank-Based Two Sample Tests Under A General Alternative, Jamye Curry
Electronic Theses and Dissertations
The problem of testing whether two samples come from the same or different population is a classical one in statistics. In this dissertation, I first study rank based formulation of univariate two-sample distribution-free tests. One form of the test statistic is the average of between-group distances of ranks. The other form of the test statistic is the difference between the average of between-group distances of ranks and the average of within-group distances of ranks. Although they are different in formulation, they are closely related to the two-sample Cramer-von Mises criterion. The first one is a linear transformation of Cramer-von Mises …