Titlebook: Statistical Methods: Connections, Equivalencies, and Relationships; Kenneth J. Berry,Janis E. Johnston Book 2023 The Editor(s) (if applica

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https://doi.org/10.1007/978-3-031-41896-9Non-Parametric Test; Correlations; Parametric Tests; Permutation Tests; Contingency Tables; Experimental

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sts.Illustrated with examplesThe primary purpose of this book is to introduce the reader to a wide variety of interesting and useful connections, relationships, and equivalencies between and among conventional and permutation statistical methods. There are approximately 320 statistical connections a

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Book 2023between and among conventional and permutation statistical methods. There are approximately 320 statistical connections and relationships described in this book. For each connection or connections the tests are described, the connection is explained, and an example analysis illustrates both the test

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Two-Sample Tests,the Wilcoxon–Mann–Whitney two-sample rank-test is presented with a permutation alternative for rank-score data and the connection linking the two tests is described. Finally, the connection between a conventional two-sample .-test for proportions and Pearson’s chi-square test of independence is delineated.

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Randomized-Blocks Designs,ct size are detailed. Fourth, Friedman’s two-way analysis of variance for ranks is described and illustrated with a small rank-score dataset. A permutation multi-sample rank-sum test is introduced and the connection linking Friedman’s test statistic and the permutation randomized-blocks test statistic is described and illustrated.

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