R functions for Mahalanobis' distance and related effect sizes

Version 8c<br><br>Two simple R functions to compute multivariate standardized differences between two groups (Mahalanobis’ <i>D</i>), either from raw data or from Cohen's <i>d</i> values and correlations. The functions return uncorrected and bias-corrected values of <i>D</i>, exact confidence intervals, bootstrapped confidence intervals (only from raw data), heterogeneity coefficients, and a number of additional diagnostics and effect sizes. Disattenuated estimates can also be computed if desired.<br><br><br>See: Del Giudice, M. (2020). Measuring sex differences and similarities. In D. P. VanderLaan &amp; W. I. Wong (Eds.), Gender and sexuality development: Contemporary theory and research. New York, NY: Springer.

版本8c

两个简易R语言函数，可用于计算两组间的多元标准化差异（马氏距离D（Mahalanobis’ D）），支持两类计算方式：既可直接基于原始数据进行计算，也可通过科恩d值（Cohen's d）与相关系数推导得出。该函数可返回未校正与偏差校正后的D值、精确置信区间、自助法置信区间（仅支持基于原始数据生成）、异质性系数，以及多种额外诊断指标与效应量；若有需求，还可计算衰减校正后的估计值。

参考文献：Del Giudice, M.（2020）. 测量性别差异与共性。收录于D. P. VanderLaan与W. I. Wong主编的《性别与性发展：当代理论与研究》，纽约州纽约市：施普林格出版社。