Psychologists Should Use Brunner-Munzel’s Instead of Mann-Whitney’s <i>U</i> Test as the Default Nonparametric Procedure

To investigate whether a variable tends to be larger in one population than another, the t test is standard procedure. In some situations, parametric inappropriate, and nonparametric procedure should used instead. The default Mann-Whitney’s U test. Despite being test, associated with strong assumption, known as exchangeability. I demonstrate that if exchangeability violated, can lead wrong statistical inferences even for large samples. addition, argue psychology, typically not met. As remedy, introduce Brunner-Munzel’s it provides good Type error rate control met has similar power Consequently, recommend using by default. facilitate this, provide advice on how perform report