r.correl: r to Coefficient of Determination (R2) from F

In MOTE: Effect Size and Confidence Interval Calculator

Description

This function displays transformation from r to r2 to calculate the non-central confidence interval for r2 using the F distribution.

Usage

r.correl(r, n, a = 0.05)

Arguments

r	correlation coefficient
n	sample size
a	significance level

Details

The t-statistic is calculated by first dividing one minus the square root of r squared by degrees of freedom of the error. r is divided by this value.

t = r / sqrt((1 - rsq) / (n - 2))

The F-statistic is the t-statistic squared.

Fvalue = t ^ 2

Learn more on our example page.

Value

Provides correlation coefficient and coefficient of determination with associated confidence intervals and relevant statistics.

r	correlation coefficient
rlow	lower level confidence interval r
rhigh	upper level confidence interval r
R2	coefficient of determination
R2low	lower level confidence interval of R2
R2high	upper level confidence interval of R2
se	standard error
n	sample size
dfm	degrees of freedom of mean
dfe	degrees of freedom of error
t	t-statistic
F	F-statistic
p	p-value
estimate	the r statistic and confidence interval in APA style for markdown printing
estimateR2	the R^2 statistic and confidence interval in APA style for markdown printing
statistic	the t-statistic in APA style for markdown printing

Examples

#This example is derived from the mtcars dataset provided in R.

#What is the correlation between miles per gallon and car weight?

cor.test(mtcars$mpg, mtcars$wt)

r.correl(r = -0.8676594, n = 32, a = .05)

MOTE documentation built on May 2, 2019, 5:51 a.m.