qad_distribution {qad}

Distribution of qad (H0: independence)

Description

Distribution function - P_H0(qad <= q) - and quantile function for the qad distribution with regard to the null hypthesis (H0) stating independence between X and Y.

Usage

pqad(q, n, R = 1000, resolution = NULL)

qqad(p, n, R = 1000, resolution = NULL)

Arguments

q

vector of quantiles.

n

number of observations (or minimum of unique values, if ties occur).

R

number of repetitions (default R = 1000)

resolution

resolution of checkerboard copula (default = NULL)

p

vector of probabilities.

Details

The distribution of qad in the setting of independence, i.e., the random variables X and Y are independent. The distribution is calculated in the following way: Samples of size n are drawn from independent random variables. Then qad is calculated. The procedure is repeated R times. #'

Value

pqad gives the distribution function, i.e. P(qad <= q). qqad gives the quantile function. The length of the result is determined by the length of q or p, respectively.

Examples

pqad(0.3, 45)
qqad(0.5, 30)