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An alternative to Cramér's coefficient of association

Tarald O. Kvålseth

Communications in Statistics - Theory and Methods, 2018, vol. 47, issue 23, 5662-5674

Abstract: In spite of its popularity as a measure of association between two nominal categorical variables X and Y, Cramér's V^$\hat{V}$ does have a number of limitations. To overcome the limitations, an alternative coefficient of association W^$\hat{W}$ is introduced. This W^$\hat{W}$ is based on the Euclidean distance between the joint probability distribution of X and Y and the corresponding distribution when X and Y are independent. The properties of W^$\hat{W}$ are discussed including the value-validity property necessary for making valid interpretations and comparisons of association values. The statistical inference procedures for W^$\hat{W}$ are presented with a numerical example.

Date: 2018
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DOI: 10.1080/03610926.2017.1400056

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