Nominal-Level Variables, I

Kenneth J. Berry, Janis E. Johnston and Paul W. Mielke
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Kenneth J. Berry: Colorado State University, Department of Sociology
Janis E. Johnston: Alexandria
Paul W. Mielke: Colorado State University, Department of Statistics

Chapter Chapter 3 in The Measurement of Association, 2018, pp 73-138 from Springer

Abstract: Abstract This chapter examines chi-squared-based measures of association designed for two categorical variables. Four measures are introduced that are notoriously difficult to interpret because they do not norm properly between the limits of 0 and 1: Pearson’s ϕ 2, Tschuprov’s T 2, Cramér’s V 2, and Pearson’s C coefficient of contingency. A chi-squared-based alternative is proposed that norms properly between 0, corresponding to independence, and 1, corresponding to perfect association. Finally, the relationship between chi-squared and Pearson’s product-moment correlation coefficient is examined for r×c contingency tables.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-98926-6_3

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DOI: 10.1007/978-3-319-98926-6_3

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