Measures of Nominal Association I

Kenneth J. Berry and Janis E. Johnston

Chapter Chapter 11 in Statistical Methods: Connections, Equivalencies, and Relationships, 2023, pp 495-557 from Springer

Abstract: Abstract Chapter 11 is the first of two chapters describing connections, equivalencies, and relationships relating to measures of nominal association. First, Pearson’s chi-squared test of independence is described and illustrated with an example analysis. Second, Pearson’s ϕ 2 $$\phi ^{2}$$ , Pearson’s C, Tschuprov’s T 2 $$T^{2}$$ , and Cramér’s V 2 $$V^{2}$$ measures of nominal association are described and the connections linking the five measures to Pearson’s χ 2 $$\chi ^{2}$$ are described. Third, the connections linking Goodman and Kruskal’s t a $$t_{a}$$ and t b $$t_{b}$$ measures with χ 2 $$\chi ^{2}$$ and permutation test statistic δ $$\delta $$ are established. Fourth, McNemar’s Q M $$Q_{\text{M}}$$ and Cochran’s Q C $$Q_{\text{C}}$$ measures of change are described and the connections linking Q M $$Q_{\text{M}}$$ , Q C $$Q_{\text{C}}$$ and permutation test statistic δ $$\delta $$ are described and illustrated with an example analysis.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-41896-9_11

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DOI: 10.1007/978-3-031-41896-9_11

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