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Tukey's studentized range distribution, used for Tukey's honestly significant differences test in ANOVA.
Tukey(nmeans, df, nranges)
A Tukey object.
Tukey
Sample size for each range.
Degrees of freedom.
Number of groups being compared.
We recommend reading this documentation on https://alexpghayes.github.io/distributions3/, where the math will render with additional detail and much greater clarity.
Support: \(R^+\), the set of positive real numbers.
Other properties of Tukey's Studentized Range Distribution are omitted, largely because the distribution is not fun to work with.
Other continuous distributions: Beta(), Cauchy(), ChiSquare(), Erlang(), Exponential(), FisherF(), Frechet(), GEV(), GP(), Gamma(), Gumbel(), LogNormal(), Logistic(), Normal(), RevWeibull(), StudentsT(), Uniform(), Weibull()
Beta()
Cauchy()
ChiSquare()
Erlang()
Exponential()
FisherF()
Frechet()
GEV()
GP()
Gamma()
Gumbel()
LogNormal()
Logistic()
Normal()
RevWeibull()
StudentsT()
Uniform()
Weibull()
set.seed(27) X <- Tukey(4L, 16L, 2L) X cdf(X, 4) quantile(X, 0.7)
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