Fisher–Snedecor distribution
GPTKB entity
Statements (24)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:organization
|
gptkbp:alsoKnownAs |
gptkb:F-distribution
|
gptkbp:application |
F-test
comparing variances |
gptkbp:cumulativeDistributionFunction |
I_{d1 x/(d1 x + d2)}(d1/2, d2/2)
|
gptkbp:field |
gptkb:probability_theory
statistics |
https://www.w3.org/2000/01/rdf-schema#label |
Fisher–Snedecor distribution
|
gptkbp:meaning |
d2/(d2-2) for d2 > 2
|
gptkbp:namedAfter |
gptkb:Ronald_Fisher
gptkb:George_W._Snedecor |
gptkbp:parameter |
degrees of freedom denominator
degrees of freedom numerator |
gptkbp:pdf |
f(x; d1, d2) = [d1^{d1/2} d2^{d2/2} x^{(d1/2)-1}] / [B(d1/2, d2/2) (d1 x + d2)^{(d1+d2)/2}]
|
gptkbp:relatedTo |
gptkb:beta_distribution
gptkb:chi-squared_distribution |
gptkbp:supports |
x > 0
x ∈ (0, ∞) |
gptkbp:usedIn |
gptkb:analysis_of_variance
hypothesis testing |
gptkbp:variant |
[2 d2^2 (d1 + d2 - 2)] / [d1 (d2 - 2)^2 (d2 - 4)] for d2 > 4
|
gptkbp:bfsParent |
gptkb:F-distribution
gptkb:Sir_Ronald_Fisher |
gptkbp:bfsLayer |
5
|