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One-tailed test

A one-tailed test places the entire rejection region in one tail of the distribution, used when the alternative hypothesis specifies a direction. It is more powerful than a two-tailed test for detecting effects in that direction.

ByHoang TruongUpdated

FrameworkHypothesis testing

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A two-tailed test splits its rejection region equally between both tails of the distribution, testing for a difference in either direction. A one-tailed test instead places the entire rejection region in a single tail — say, the right tail when H₁ states the mean has increased. For the same significance level, the critical value is less extreme, giving more power to detect an effect in that direction, but none in the opposite one.

Where it fits
SubjectData Analysis & StatisticsCoreTopicHypothesis TestingCore