|
gptkbp:instanceOf
|
gptkb:organization
|
|
gptkbp:cumulativeDistributionFunction
|
γ(k/2, x/2)/Γ(k/2)
|
|
gptkbp:domain
|
real numbers ≥ 0
|
|
gptkbp:firstDescribed
|
1900
|
|
gptkbp:hasSpecialCase
|
gptkb:gamma_distribution
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
chi-squared distribution
|
|
gptkbp:isSumOf
|
squares of k independent standard normal random variables
|
|
gptkbp:kurtosis
|
12/k
|
|
gptkbp:meaning
|
k (degrees of freedom)
|
|
gptkbp:mode
|
max(k-2, 0)
|
|
gptkbp:namedAfter
|
gptkb:Karl_Pearson
|
|
gptkbp:notation
|
χ²(k)
|
|
gptkbp:parameter
|
degrees of freedom
|
|
gptkbp:pdf
|
(1/(2^{k/2}Γ(k/2))) x^{(k/2)-1} e^{-x/2}
|
|
gptkbp:relatedTo
|
gptkb:F-distribution
gptkb:normal_distribution
gptkb:student's_t-distribution
gptkb:gamma_distribution
|
|
gptkbp:skewness
|
sqrt(8/k)
|
|
gptkbp:supports
|
[0, ∞)
|
|
gptkbp:usedFor
|
contingency table analysis
model fit assessment
variance estimation
|
|
gptkbp:usedIn
|
statistics
hypothesis testing
confidence interval estimation
goodness-of-fit tests
|
|
gptkbp:variant
|
2k (degrees of freedom)
|
|
gptkbp:bfsParent
|
gptkb:Gaussian_distribution
gptkb:Pearson's_chi-squared_test
gptkb:chi-squared_test
|
|
gptkbp:bfsLayer
|
5
|