Statistical Inference for Generalized Yule Coefficients in 2 × 2 Contingency Tables
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.
Bonett, Douglas G.; and Price, Robert M.. 2007. Statistical Inference for Generalized Yule Coefficients in 2 × 2 Contingency Tables. Sociological Methods and Research. Vol.35(3). 429-446. https://doi.org/10.1177/0049124106292358 ISSN: 0049-1241