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Olivia.W🌸 · 2024年02月04日

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NO.PZ2022123001000130

问题如下:

We often want to know whether a mean value differs for two groups. The samples are from populations at least approximately normally distributed and that the samples are also independent of each other. The test of the differences of means is using the assumption that the population variances are equal. Which type of test is used to test?

选项:

A.Paired comparisons t-test B.T-test using a pooled estimator of the common variance C.chi-Square test

解释:

When the test of the differences of means is using the assumption that the population variances are equal, in the calculation of the test statistic, we combine the observations from both samples to obtain a pooled estimate of the common population variance.

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1 个答案

品职助教_七七 · 2024年02月06日

嗨,爱思考的PZer你好:


independent samples+equal variance的背景下,检验量两个mean之间的关系需要使用t test。由于假设了方差相等,所以认为两个样本具有共同的common variance,对于这个common variance的估计量就是pooled estimator。

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