Hsu Louis M
Program in Clinical Psychology, Fairleigh Dickinson University, Teaneck, NJ 07666, USA.
Psychol Methods. 2004 Jun;9(2):183-97. doi: 10.1037/1082-989X.9.2.183.
The intent of a binomial effect size display (BESD) is to show "the [real-world] importance of [an] effect indexed by a correlation [r]" (R. Rosenthal, 1994, p. 242) by reexpressing this correlation as a success rate difference (SRD) (e.g., treatment group success rate-control group success rate). However, SRDs displayed in BESDs generally overestimate real-world SRDs implied by correlations of (a) dichotomous X and Y variables (phi coefficients), (b) dichotomous X and continuous Y variables (point-biserial coefficients [rpbs]). and (c) continuous X and Y variables (rxys). Furthermore, overestimation biases are larger for rxys than for rpbs. Differences in the sizes of biases linked to different correlations suggest that BESD SRDs reported for different correlations are not comparable. The stochastic difference index (N. Cliff, 1993: A. Vargha & H. D. Delaney, 2000) is recommended as an alternative to the BESD.
二项效应量展示（BESD）的目的是通过将相关性[r]重新表示为成功率差异（SRD）（例如，治疗组成功率-对照组成功率），来展示“由相关性索引的[效应的][现实世界]重要性”（R. 罗森塔尔，1994年，第242页）。然而，BESD中展示的SRD通常高估了由以下相关性所隐含的现实世界SRD：（a）二分X和Y变量（φ系数），（b）二分X和连续Y变量（点二列系数[rpbs]），以及（c）连续X和Y变量（rxys）。此外，rxys的高估偏差比rpbs更大。与不同相关性相关的偏差大小差异表明，针对不同相关性报告的BESD SRD不可比。随机差异指数（N. 克里夫，1993年；A. 瓦尔加和H. D. 德莱尼，2000年）被推荐作为BESD的替代方法。
