Effective use of Pearson's product-moment correlation coefficient Comment

被引:275
作者
Puth, Marie-Therese [1 ]
Neuhaeuser, Markus [1 ]
Ruxton, Graeme D. [2 ]
机构
[1] Koblenz Univ Appl Sci, Dept Math & Technol, Remagen, Germany
[2] Univ St Andrews, Sch Biol, St Andrews KY16 9TH, Fife, Scotland
关键词
association; confidence internal; null hypothesis testing; regression; Spearman; CONFIDENCE-INTERVALS;
D O I
10.1016/j.anbehav.2014.05.003
中图分类号
B84 [心理学]; C [社会科学总论]; Q98 [人类学];
学科分类号
03 ; 0303 ; 030303 ; 04 ; 0402 ;
摘要
The calculation of correlation coefficients is widespread in biological research. Often, the null hypothesis of zero correlation is tested and/or confidence intervals for the correlation are computed. There are several different methods for this purpose; we compare the performance of different methods. According to our results the standard t test approach does offer generally reasonable performance even when the underlying distribution departs from bivariate normality. However, for non-normal data alternative techniques, especially the permutation test and using the RIN (rank-based inverse normal) transformation, offer better control of type I error and good power. With regard to confidence intervals, all investigated methods perform similarly; and there is no consistent pattern with which to strongly recommend one method over another. However, we show that two easy-to-calculate methods based on asymptotic results often perform tolerably well even for small sample sizes. (C) 2014 The Association for the Study of Animal Behaviour. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:183 / 189
页数:7
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