psych: fisherz – R documentation

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fisherz

Transformations of r, d, and t including Fisher r to z and z to r and confidence intervals

Description

Convert a correlation to a z or t, or d, or chi or covariance matrix or z to r using the Fisher transformation or find the confidence intervals for a specified correlation. r2d converts a correlation to an effect size (Cohen's d) and d2r converts a d into an r. g2r converts Hedge's g to a correlation. t2r converts a t test to r, r2t converts a correlation to a t-test value. chi2r converts a chi square to r, r2chi converts it back. r2c and cor2cov convert a correlation matrix to a covariance matrix. d2t and t2d convert cohen's d into a t and a t into a cohen d. See cohen.d for other conversions.

Usage

fisherz(rho)
fisherz2r(z)
r.con(rho,n,p=.95,twotailed=TRUE)
r2t(rho,n)
t2r(t,df)
g2r(g,df,n)
chi2r(chi2,n)
r2chi(rho,n)
r2c(rho,sigma)
cor2cov(rho,sigma)

Arguments

`rho`	a Pearson r
`z`	A Fisher z
`n`	Sample size for confidence intervals
`df`	degrees of freedom for t, or g
`p`	Confidence interval
`twotailed`	Treat p as twotailed p
`g`	An effect size (Hedge's g)
`t`	A student's t value
`chi2`	A chi square
`sigma`	a vector of standard deviations to be used to convert a correlation matrix to a covariance matrix

Value

`z`	value corresponding to r (fisherz)
`r`	r corresponding to z (fisherz2r)
`r.con`	lower and upper p confidence intervals (r.con)
`t`	t with n-2 df (r2t)
`r`	r corresponding to effect size d or d corresponding to r.
`r2c`	r2c is the reverse of the cor2con function of base R. It just converts a correlation matrix to the corresponding covariance matrix given a vector of standard deviations.

Author(s)

Maintainer: William Revelle revelle@northwestern.edu

Examples

n <- 30
 r <- seq(0,.9,.1)
 d <- r2d(r)
 rc <- matrix(r.con(r,n),ncol=2)
 t <- r*sqrt(n-2)/sqrt(1-r^2)
 p <- (1-pt(t,n-2))*2
 r1 <- t2r(t,(n-2))
 r2 <- d2r(d)
 chi <- r2chi(r,n)
 r3 <- chi2r(chi,n)
 r.rc <- data.frame(r=r,z=fisherz(r),lower=rc[,1],upper=rc[,2],t=t,p=p,d=d,
     chi2=chi,d2r=r2,t2r=r1,chi2r=r3)
 round(r.rc,2)

psych

Procedures for Psychological, Psychometric, and Personality Research

v2.1.3

GPL (>= 2)

Authors

William Revelle [aut, cre] (<https://orcid.org/0000-0003-4880-9610>)

Initial release

2021-03-21