The significance of the difference between two means when the population variances are unequal
The significance of the difference between two means when the population variances are unequal
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DOI：
10.1093/biomet/29.3-4.350
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发表时间：
1938-02-01
期刊：
影响因子：
2.7
通讯作者：
Welch, BL
中科院分区：
文献类型：
--
作者：
Welch, BL
讨论了检验 2 个均值是否显着差异的三种方法，(i) 当 2 个总体方差相等时适用的“t”检验，如果这些方差不相等，则有时可能会产生误导。 (ii) 基于总体方差的 2 个单独估计的类似检验不太容易出现偏差。 (iii) 考虑到基准概率而提出的测试似乎无效。回归的比较是从相同的角度考虑的。
Three methods of testing whether 2 means differ significantly are discussed, (i) The "t" test, appropriate when the 2 population variances are equal, may sometimes be misleading if these variances are unequal. (ii) A similar test, based on 2 separate estimates of the population variances, is less liable to bias. (iii) A test proposed from considerations of fiducial probability does not appear to be valid. The comparison of regressions is considered from the same points of view.