Two-Sample Tests

Kenneth J. Berry and Janis E. Johnston

Chapter Chapter 4 in Statistical Methods: Connections, Equivalencies, and Relationships, 2023, pp 91-169 from Springer

Abstract: Abstract Chapter 4 describes connections, equivalencies, and relationships relating to two-sample tests of null hypotheses. First, Student’s conventional two-sample t-test is described. Second, a permutation two-sample test is presented and the connection linking the two tests is established. An example analysis illustrates the differences in the two approaches and the connection linking the tests. Third, measures of effect size for two-sample tests are presented for both Student’s two-sample t-test and a permutation two-sample test and the connections linking the various measures are set out. Fourth, 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 z-test for proportions and Pearson’s chi-square test of independence is delineated.

Date: 2023
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DOI: 10.1007/978-3-031-41896-9_4

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