Randomized Designs: Ordinal Data, II

Kenneth J. Berry, Paul W. Mielke and Janis E. Johnston
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Kenneth J. Berry: Colorado State University, Department of Sociology
Paul W. Mielke: Colorado State University, Department of Statistics
Janis E. Johnston: U.S. Government

Chapter 6 in Permutation Statistical Methods, 2016, pp 315-365 from Springer

Abstract: Abstract Chapter 6 utilizes the Multi-Response Permutation Procedures (MRPP) developed in Chap. 2 to establish relationships between the test statistics of MRPP, δ and $$\mathfrak{R}$$ , and multivariate generalizations of selected conventional tests and measures designed for the analysis of completely randomized data at the ordinal level of measurement. Considered in this chapter are multivariate extensions of the Wilcoxon two-sample rank-sum test, the Kruskal–Wallis multi-sample rank sum test, the Ansari–Bradley rank sum test for dispersion, the Taha sum-of-squared-ranks test, the Mood rank-sum test for dispersion, the Brown–Mood median test, the Mielke A Ns , B Ns , and C Ns power-of-rank function tests, the Whitfield two-sample rank-sum test, and the Cureton rank-biserial test.

Keywords: Distance Function; Response Measurement; Exact Probability; Equal Chance; Permutation Method (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-3-319-28770-6_6

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