A Nonparametric Sum of Ranks Procedure for Relative Spread in Unpaired Samples
A Nonparametric Sum of Ranks Procedure for Relative Spread in Unpaired Samples
复制标题
未配对样本中相对分布的非参数秩和过程
DOI：
10.1080/01621459.1960.10482073
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发表时间：
1960
影响因子：
3.7
通讯作者：
J. Tukey
中科院分区：
文献类型：
--
作者：
Sidney Siegel;J. Tukey
摘要提出了一种非参数方法来检验两个独立样本来自同一种群的零假设与样本来自变异性或“扩散”不同的种群的备择假设。对于n 1≤n 2≤20，包括了大量的临界值表。大样本的程序，其中包括一个修正并列的意见。在通常的随机化程序下，该检验完全是无分布的，反对两个分布相同的零假设。没有任何正态性假设是检验的一个特别重要的特征，因为它的参数替代，方差差异的F检验，对偏离正态性非常敏感。该检验具有直接适用于非数值有序数据的额外优点。
Abstract A nonparametric procedure is presented to test the null hypothesis that two independent samples come from the same population against the alternative hypothesis that the samples come from populations differing in variability or “spread.” Extensive tables of critical values are included for n 1≤n 2≤20. Large sample procedures are presented which include a correction for tied observations. The test is entirely distribution-free under the usual randomization procedures against the null hypothesis that the two distributions are identical. The absence of any normality assumption is a particularly important feature of the test, because its parametric alternative, the F test for variance differences, is quite sensitive to departures from normality. The test has the additional advantage of being directly applicable to non-numerical ordinal data.