Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:organization
|
| gptkbp:alsoKnownAs |
gptkb:Student's_t-distribution
|
| gptkbp:application |
statistical analysis
hypothesis testing confidence intervals |
| gptkbp:cumulativeDistributionFunction |
expressed in terms of the incomplete beta function
|
| gptkbp:firstPublished |
1908
|
| https://www.w3.org/2000/01/rdf-schema#label |
univariate t-distribution
|
| gptkbp:kurtosis |
6/(df-4) for df > 4
|
| gptkbp:limitation |
standard normal distribution (as df → ∞)
|
| gptkbp:meaning |
0 (for degrees of freedom > 1)
|
| gptkbp:namedAfter |
gptkb:William_Sealy_Gosset
|
| gptkbp:parameter |
degrees of freedom
|
| gptkbp:pdf |
f(x) = Γ((ν+1)/2) / (√(νπ) Γ(ν/2)) (1 + x²/ν)^(-(ν+1)/2)
|
| gptkbp:relatedTo |
gptkb:normal_distribution
gptkb:chi-squared_distribution |
| gptkbp:skewness |
0 (for df > 3)
|
| gptkbp:supports |
real numbers
|
| gptkbp:usedFor |
small sample sizes
|
| gptkbp:usedIn |
statistical inference
|
| gptkbp:variant |
df/(df-2) for df > 2
|
| gptkbp:bfsParent |
gptkb:multivariate_t-distribution
|
| gptkbp:bfsLayer |
7
|