# Fcorr: Fisher's transformation of the product moment correlation... In smovie: Some Movies to Illustrate Concepts in Statistics

 Fcorr R Documentation

## Fisher's transformation of the product moment correlation coefficient

### Description

Density, distribution function, quantile function and random generator for the distribution of Fisher's transformation of product moment correlation, based on a random sample from a bivariate normal distribution

### Usage

``````dFcorr(x, N, rho = 0, log = FALSE)

pFcorr(q, N, rho = 0, lower.tail = TRUE, log.p = FALSE)

qFcorr(p, N, rho = 0, lower.tail = TRUE, log.p = FALSE)

rFcorr(n, N, rho = 0, lower.tail = TRUE, log.p = FALSE)
``````

### Arguments

 `x`, `q` Numeric vectors of quantiles. `N` Numeric vector. Number of observations, (N > 3). `rho` Numeric vector. Population correlations, (-1 < rho < 1). `log`, `log.p` A logical scalar; if TRUE, probabilities p are given as log(p). `lower.tail` A logical scalar. If TRUE (default), probabilities are P[X <= x], otherwise, P[X > x]. `p` A numeric vector of probabilities in [0,1]. `n` Numeric scalar. The number of observations to be simulated. If `length(n) > 1` then `length(n)` is taken to be the number required.

### Details

These functions rely on the `correlation coefficient` functions in the SuppDists package. SuppDists must be installed in order for these functions to work.

### References

Fisher, R. A. (1915). Frequency distribution of the values of the correlation coefficient in samples of an indefinitely large population. Biometrika, 10(4), 507-521.

Fisher, R. A. (1921). On the "probable error" of a coefficient of correlation deduced from a small sample. Metron, 1, 3-32. https://digital.library.adelaide.edu.au/dspace/bitstream/2440/15169/1/14.pdf

`correlation coefficient` in the SuppDists package for dpqr functions for the untransformed product moment correlation coefficient.

`correlation`: correlation sampling distribution movie.

### Examples

``````got_SuppDists <- requireNamespace("SuppDists", quietly = TRUE)

if (got_SuppDists) {
dFcorr(-1:1, N = 10)
dFcorr(0, N = 11:20)

pFcorr(0.5, N = 10)
pFcorr(0.5, N = 10, rho = c(0, 0.3))

qFcorr((1:9)/10, N = 10, rho = 0.2)
qFcorr(0.5, N = c(10, 20), rho = c(0, 0.3))

rFcorr(6, N = 10, rho = 0.6)
}
``````

smovie documentation built on May 29, 2024, 10:28 a.m.