Matched-Pair Tests

Kenneth J. Berry and Janis E. Johnston

Chapter Chapter 5 in Statistical Methods: Connections, Equivalencies, and Relationships, 2023, pp 171-216 from Springer

Abstract: Abstract Chapter 5 describes connections, equivalencies, and relationships relating to matched-pair tests of null hypotheses. First, Student’s conventional matched-pair t-test is described. Second, a permutation matched-pair test is presented and the connection linking the two matched-pair tests is established. An example analysis illustrates the differences in the two approaches and the connection linking the two tests. Third, measures of effect size for matched-pair tests are presented for both Student’s matched-pair t-test and the permutation matched-pair test and the connections linking the various measures are set out. Fourth, Wilcoxon’s nonparametric signed-rank test is introduced and illustrated with an example analysis. A permutation alternative to Wilcoxon’s test is described and the connection linking the two tests is established. Finally, the connections linking a conventional matched-pair z-test for proportions and Pearson’s chi-squared test of goodness of fit is delineated.

Date: 2023
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DOI: 10.1007/978-3-031-41896-9_5

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