Multivariate Behav Res. 1996 Jul 1;31(3):331-50. doi: 10.1207/s15327906mbr3103_4.
It is argued that ordinal statistical methods are often more appropriate than their more common counterparts for three types of reasons: Conclusions from them will be unaffected by monotonic transformation of the variables, they are statistically more robust when used appropriately, and they often correspond more closely to the goals of the investigator. Kendall's tau (Kendall, 1970) and its counterpart delta are recommended as having wide I applicability and good statistical behavior. It is recommended that they be estimated as population parameters and their standard errors estimated form the data. Ways in which they can then substitute for Pearson correlations and mean comparisons in a number of research contexts are suggested.
有人认为,有序统计方法通常比其更常见的对应方法更适用,原因有三:其一,它们的结论不会受到变量单调变换的影响;其二,在适当使用时,它们在统计学上更稳健;其三,它们通常更符合研究者的目标。建议使用 Kendall 的 tau(Kendall,1970)及其对应量 delta,因为它们具有广泛的适用性和良好的统计行为。建议将它们估计为总体参数,并从数据中估计其标准误差。然后,在许多研究背景下,建议使用它们来替代 Pearson 相关系数和均值比较。