Statistical Inference for Generalized Yule Coefficients in 2 × 2 Contingency Tables

Douglas G. Bonett and Robert M. Price
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Douglas G. Bonett: Iowa State University, Ames
Robert M. Price: East Tennessee State University, Johnson City

Sociological Methods & Research, 2007, vol. 35, issue 3, 429-446

Abstract: The odds ratio is one of the most widely used measures of association for 2 × 2 tables. A generalized Yule coefficient transforms the odds ratio into a correlation-like scale with a range from -1 to 1. Yule’s Y , Yule’s Q , Digby’s H, and a new coefficient are special cases of a generalized Yule coefficient. The new coefficient is shown to be similar in value to the phi coefficient. A confidence interval and sample size formula for a generalized Yule coefficient are proposed. The proposed confidence interval is shown to perform much better than the Wald intervals that are implemented in statistical packages.

Keywords: interval estimation; phi coefficient; sample size requirement; tetrachoric correlation (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:sae:somere:v:35:y:2007:i:3:p:429-446

DOI: 10.1177/0049124106292358

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