Create a Tukey distribution — Tukey • distributions3

Tukey's studentized range distribution, used for Tukey's honestly significant differences test in ANOVA.

Usage

Tukey(nmeans, df, nranges)

Arguments

nmeans: Sample size for each range.
df: Degrees of freedom.
nranges: Number of groups being compared.

Value

A Tukey object.

Details

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.

See also

Other continuous distributions: Beta(), Cauchy(), ChiSquare(), Erlang(), Exponential(), FisherF(), Frechet(), GEV(), GP(), Gamma(), Gumbel(), LogNormal(), Logistic(), Normal(), RevWeibull(), StudentsT(), Uniform(), Weibull()

Examples


set.seed(27)

X <- Tukey(4L, 16L, 2L)
X
#> [1] "Tukey distribution (nmeans = 4, df = 16, nranges = 2)"

cdf(X, 4)
#> [1] 0.9009192
quantile(X, 0.7)
#> [1] 3.075961