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.
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(nmeans = 4, df = 16, nranges = 2)"
cdf(X, 4)
#> [1] 0.9009192
quantile(X, 0.7)
#> [1] 3.075961