The insidious L-shaped distribution.
The insidious L-shaped distribution.
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呈阴险的L型分布。
DOI：
10.3758/bf03330089
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发表时间：
1982
期刊：
影响因子：
--
通讯作者：
J. V. Bradley
中科院分区：
文献类型：
--
作者：
J. V. Bradley
L型分布并不罕见，而且可能比人们普遍认识到的要普遍得多。他们是非常有益的非鲁棒性的正态假设统计检验，他们强烈抵制转换为正态。分布的尾部越细，通过观察从中抽取的样本就越不可能发现它的L形性。然而，随着L形分布的尾部变得越来越浅，它的偏度和峰度越来越偏离它们的“正态分布”值，并且该分布变得越来越有利于极端的非鲁棒性。更糟糕的是，心理学研究中一种相当常见的实验情境会产生浅尾L型分布。
L-shaped distributions are not rare and are probably far more prevalent than is generally realized. They are highly conducive to nonrobustness of normality-assuming statistical tests, and they strongly resist transformation to normality. The thinner the tail of the distribution, the more unlikely it is that its L-shapedness will be detected by inspecting a sample drawn from it. Yet, as the tail of an L-shaped distribution becomes increasingly shallow, its skewness and kurtosis depart increasingly from their “normal-distribution” values, and the distribution becomes increasingly conducive to drastic nonrobustness. Worse, a fairly common type of experimental situation in psychological research produces shallow-tailed L-shaped distributions.