Computation of the Permutation Distribution
Methods for computation of the density function, distribution function, quantile function, random numbers and support of the permutation distribution. methods
## S4 method for signature 'NullDistribution' dperm(object, x, ...) ## S4 method for signature 'IndependenceTest' dperm(object, x, ...) ## S4 method for signature 'NullDistribution' pperm(object, q, ...) ## S4 method for signature 'IndependenceTest' pperm(object, q, ...) ## S4 method for signature 'NullDistribution' qperm(object, p, ...) ## S4 method for signature 'IndependenceTest' qperm(object, p, ...) ## S4 method for signature 'NullDistribution' rperm(object, n, ...) ## S4 method for signature 'IndependenceTest' rperm(object, n, ...) ## S4 method for signature 'NullDistribution' support(object, ...) ## S4 method for signature 'IndependenceTest' support(object, ...)
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.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.
The density function, distribution function, quantile function, random deviates or support of the permutation distribution computed from object. A numeric vector.
The density of asymptotic permutation distributions for maximum-type tests or exact permutation distributions obtained by the split-up algorithm 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.
## Two-sample problem dta <- data.frame( y = rnorm(20), x = gl(2, 10) ) ## Exact Ansari-Bradley test 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)