# 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

 1 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

## 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

 1 2 3 4 5 6 7 #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.