TO POOL OR NOT TO POOL: A COMPARISON BETWEEN TWO COMMONLY USED TEST STATISTICS
TO POOL OR NOT TO POOL: A COMPARISON BETWEEN TWO COMMONLY USED TEST STATISTICS
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合并还是不合并：两种常用测试统计数据的比较
DOI：
10.12732/ijpam.v89i4.5
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
Mouchumi Bhattacharyya
中科院分区：
文献类型：
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作者：
Mouchumi Bhattacharyya
当谈到检验关于两个总体均值的假设时，最常用的检验是两样本t检验。这种检验有两种版本，一种是当两个总体的方差相等时使用(汇集检验)，另一种是当两个总体的方差不相等时使用(非汇集检验)。合并检验似乎已经不受欢迎，因为它对偏离总体方差相等的假设“声称”敏感。通过一项模拟研究，本文证明，尽管在分配的设置下，合并和未合并测试都有时表现不佳，但合并t-检验的整体性能显著优于未合并t-检验。
When it comes to testing hypotheses regarding two population means, the most commonly used test is the two-sample t-test. There are two versions of this test, one is used when the variances of the two populations are equal (the pooled test) and the other one is used when the variances of the two populations are unequal (the unpooled test). The pooled test seems to have fallen into some disfavor because of its 'claimed' sensitivity to departures from the assumptions of equal population variances. Through a simulation study, this paper demonstrates that although both the pooled and the unpooled test underperform at times in their allocated settings, the overall performance of the pooled t-test is significantly superior to that of the unpooled t-test.