Randomized Block Designs: Ordinal Data

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 10 in Permutation Statistical Methods, 2016, pp 473-542 from Springer

Abstract: Abstract Chapter 10 utilizes the multivariate randomized-block permutation procedures (MRBP) developed in Chap. 8 for analyzing randomized-block data at the ordinal level of measurement. The structure of the MRBP test statistic, δ, depends on the choice of v in the generalized Minkowski distance function. A variety of tests are described in this chapter, including the Wilcoxon signed-rank test for matched pairs, the sign test, Spearman’s rank-order correlation coefficient and footrule measure, the Kruskal–Wallis analysis of variance for ranks, Kendall’s coefficient of concordance, Cohen’s weighted kappa measure of agreement, Kendall’s τ a and τ b measures of ordinal association, Stuart’s τ c statistic, Goodman and Kruskal’s γ measure of ordinal association, and Somers’ asymmetric measures of ordinal association.

Keywords: Footrule; Ordinal Association; Weighted Kappa; Randomized-block Data; Rank Order Correlation (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-3-319-28770-6_10

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