# PermutationDistribution-methods

0th

Percentile

##### Computation of the Permutation Distribution

Methods for computation of the density function, distribution function, quantile function, random numbers and support of the permutation distribution.

Keywords
methods, distribution, htest
##### Usage
# S4 method for NullDistribution
dperm(object, x, …)
# S4 method for IndependenceTest
dperm(object, x, …)# S4 method for NullDistribution
pperm(object, q, …)
# S4 method for IndependenceTest
pperm(object, q, …)# S4 method for NullDistribution
qperm(object, p, …)
# S4 method for IndependenceTest
qperm(object, p, …)# S4 method for NullDistribution
rperm(object, n, …)
# S4 method for IndependenceTest
rperm(object, n, …)# S4 method for NullDistribution
support(object, …)
# S4 method for IndependenceTest
support(object, …)
##### Arguments
object

an object from which the density function, distribution function, quantile function, random numbers or support of the permutation distribution can be computed.

x, q

a numeric vector, the quantiles for which the density function or distribution function is computed.

p

a numeric vector, the probabilities for which the quantile function is computed.

n

a numeric vector, the number of observations. If length(n) > 1, the length is taken to be the number required.

further arguments to be passed to methods.

##### Details

The methods dperm, pperm, qperm, rperm and support compute the density function, distribution function, quantile function, random deviates and support, respectively, of the permutation distribution.

##### Value

The density function, distribution function, quantile function, random deviates or support of the permutation distribution computed from object. A numeric vector.

##### Note

The density of asymptotic permutation distributions for maximum-type tests or exact permutation distributions obtained by the split-up algoritm is reported as NA. The quantile function of asymptotic permutation distributions for maximum-type tests cannot be computed for p less than 0.5, due to limitations in the mvtnorm package. The support of exact permutation distributions obtained by the split-up algorithm is reported as NA.

In versions of coin prior to 1.1-0, the support of asymptotic permutation distributions was given as an interval containing 99.999 % of the probability mass. It is now reported as NA.

##### Aliases
• dperm
• dperm-methods
• dperm,NullDistribution-method
• dperm,IndependenceTest-method
• pperm
• pperm-methods
• pperm,NullDistribution-method
• pperm,IndependenceTest-method
• qperm
• qperm-methods
• qperm,NullDistribution-method
• qperm,IndependenceTest-method
• rperm
• rperm-methods
• rperm,NullDistribution-method
• rperm,IndependenceTest-method
• support
• support-methods
• support,NullDistribution-method
• support,IndependenceTest-method
##### Examples
# NOT RUN {
## Two-sample problem
dta <- data.frame(
y = rnorm(20),
x = gl(2, 10)
)

at <- ansari_test(y ~ x, data = dta, distribution = "exact")

## Support of the exact distribution of the Ansari-Bradley statistic
supp <- support(at)

## Density of the exact distribution of the Ansari-Bradley statistic
dens <- dperm(at, x = supp)

## Plotting the density
plot(supp, dens, type = "s")

## 95% quantile
qperm(at, p = 0.95)

## One-sided p-value
pperm(at, q = statistic(at))

## Random number generation
rperm(at, n = 5)
# }

Documentation reproduced from package coin, version 1.3-1, License: GPL-2

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