In medical, ecological and psychological research, there is a need for methods to handle multiple testing, for example to consider group comparisons with more than two groups. Typical approaches that deal with multiple testing are mean or variance based which can be less effective in the context of heavy-tailed and skewed data. Here, the median is the preferred measure of location and the interquartile range (IQR) is an adequate alternative to the variance. Therefore, it may be fruitful to formulate research questions of interest in terms of the median or the IQR. For this reason, we compare different inference approaches for two-sided and non-inferiority hypotheses formulated in terms of medians or IQRs in an extensive simulation study. We consider multiple contrast testing procedures combined with a bootstrap method as well as testing procedures with Bonferroni correction. As an example of a multiple testing problem based on heavy-tailed data we analyse an ecological trait variation in early and late breeding in a medium-sized bird of prey.

翻译：在医学、生态学和心理学研究中，需要处理多重检验的方法，例如考虑多于两组的组间比较。处理多重检验的典型方法基于均值或方差，但在重尾和偏态数据背景下可能效果不佳。此时，中位数是首选的集中趋势度量，四分位距（IQR）是方差的合适替代指标。因此，基于中位数或IQR来构建研究问题可能更为有效。为此，我们通过广泛的模拟研究，比较了针对以中位数或IQR表述的双侧与非劣效性假设的不同推断方法。我们考虑了结合自助法的多重对比检验程序以及经Bonferroni校正的检验程序。作为基于重尾数据的多重检验问题示例，我们分析了一种中型猛禽在早期与晚期繁殖中的生态性状变异。