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Welch's t test
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Welch's t test : ウィキペディア英語版
Welch's t test

In statistics, Welch's ''t''-test (or unequal variances ''t''-test) is a two-sample location test, and is used to test the hypothesis that two populations have equal means. Welch's ''t''-test is an adaptation of Student's ''t''-test, and is more reliable when the two samples have unequal variances and unequal sample sizes. These tests are often referred to as "unpaired" or "independent samples" t-tests, as they are typically applied when the statistical units underlying the two samples being compared are non-overlapping. Given that Welch's ''t''-test has been less popular than Student's ''t''-test〔 and may be less familiar to readers, a more informative name is "Welch's unequal variances ''t''-test" or "unequal variances ''t''-test" for brevity.
==Assumptions==

Student's ''t''-test assumes that the two populations have normal distributions and with equal variances. Welch's ''t''-test is designed for unequal variances, but the assumption of normality is maintained.〔 Welch's ''t''-test is an approximate solution to the Behrens-Fisher problem.

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