Editing Student's t-test (section)

{{Short description|Statistical hypothesis test}}
{{DISPLAYTITLE:Student's ''t''-test}}
'''Student's ''t''-test''' is a [[statistical test]] used to test whether the difference between the response of two groups is [[Statistical significance|statistically significant]] or not. It is any [[statistical hypothesis testing|statistical hypothesis test]] in which the [[test statistic]] follows a [[Student's t-distribution|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 [[Scale parameter|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|''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.