KnowraStudent's t-distributionLinked fromLinked fromThe 10 pages that link to Student's t-distribution, each with the reason it gives.All 10Broader topic 2Related 2Narrower topic 1Compared with 5Sampling distributionBroader topic: It gives the exact sampling distribution of a standardized sample mean under normal sampling with unknown variance.Normal distributionCompared with: It accounts for extra uncertainty when estimating variance from small samples.Gamma functionRelated: Its density’s normalization is expressed using gamma values.Cauchy distributionCompared with: With one degree of freedom, Student’s t-distribution is exactly the standard Cauchy distribution.Degrees of freedomRelated: Its shape depends on degrees of freedom, especially in small-sample inference.Gaussian distributionCompared with: Its heavier tails better accommodate uncertainty from estimating variance with limited data.Student's t-testNarrower topic: The test uses this distribution to account for uncertainty in estimating population variance.Chi-squared distributionCompared with: It uses a chi-squared variable in its construction but describes a signed statistic with heavier tails.F-distributionCompared with: The square of a Student t variable follows an F-distribution with one numerator degree of freedom.Basu's theoremBroader topic: In normal samples, the sample mean and sample variance yield a familiar independence result grounded in Basu's theorem.