# Pearson: The Pearson product moment correlation coefficient In SuppDists: Supplementary Distributions

## Description

Density, distribution function, quantile function, random generator and summary function for the distribution of Pearson's product moment correlation.

## Usage

 ```1 2 3 4 5``` ```dPearson(x, N, rho=0.0, log=FALSE) pPearson(q, N, rho=0.0, lower.tail=TRUE, log.p=FALSE) qPearson(p, N, rho=0.0, lower.tail=TRUE, log.p=FALSE) rPearson(n, N, rho=0.0) sPearson(N, rho=0.0) ```

## Arguments

 `x,q` vector of sample correlations `p` vector of probabilities `rho` vector of population correlations `N` vector of numbers of observations, (N > 3) `n` number of values to generate. If n is a vector, length(n) values will be generated `log, log.p` logical vector; if TRUE, probabilities p are given as log(p) `lower.tail` logical vector; if TRUE (default), probabilities are P[R <= r], otherwise, P[R > r]

## Value

The output values conform to the output from other such functions in R. `dPearson()` gives the density, `pPearson()` the distribution function and `qPearson()` its inverse. `rPearson()` generates random numbers. `sPearson()` produces a list containing parameters corresponding to the arguments – mean, median, mode, variance, sd, third cental moment, fourth central moment, Pearson's skewness, skewness, and kurtosis.

Bob Wheeler

## Examples

 ```1 2 3 4``` ```pPearson(0.5, N=10) pPearson(q=0.5, N=10, rho=0.3) sPearson(N=10) plot(function(x)dPearson(x,N=10,rho=0.7),-1,1) ```

SuppDists documentation built on Jan. 14, 2020, 9:07 a.m.