Statistical inference for generalized Yule coefficients in 2 x 2 contingency tables

被引:24
作者
Bonett, Douglas G. [1 ]
Price, Robert M.
机构
[1] Iowa State Univ, Ames, IA USA
[2] E Tennessee State Univ, Johnson City, TN 37614 USA
关键词
interval estimation; phi coefficient; sample size requirement; tetrachoric correlation;
D O I
10.1177/0049124106292358
中图分类号
O1 [数学]; C [社会科学总论];
学科分类号
03 ; 0303 ; 0701 ; 070101 ;
摘要
The odds ratio is one of the most widely used measures of association for 2 x 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.
引用
收藏
页码:429 / 446
页数:18
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