Wikidata facts
- Instance of
- statistical test
- Named after
- William Sealy Gosset
- Image
- Student t law, 7 degrees of freedom, quantiles at 5% and 95%.png
Show 5 more facts
- discoverer or inventor
- William Sealy Gosset
- different from
- Welch's t-test
- NCI Thesaurus ID
- C53231
- on focus list of Wikimedia project
- Wikipedia:Vital articles/Level/4
- Stack Exchange tag
- stats.stackexchange.com/tags/t-test
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Encyclopedic overview
Student's t-test is a statistical test used to test whether the difference between the response of two groups is statistically significant or not. It is any statistical hypothesis test in which the test statistic follows a Student's t-distribution under the null hypothesis. It is most commonly applied when the test statistic would follow a normal distribution if the value of a scaling term in the test statistic were known (typically, the scaling term is unknown and is therefore a nuisance parameter). When the scaling term is estimated based on the data, the test statistic—under certain conditions—follows a Student's t distribution. The t-test's most common application is to test whether the means of two populations are significantly different. In many cases, a Z-test will yield very similar results to a t-test because the latter converges to the former as the size of the dataset increases.
History
Excerpted from Wikipedia’s “Student's t-test” article, available under the CC BY-SA 4.0 licence.