| r.correl {MOTE} | R Documentation |
r to Coefficient of Determination (R2) from F
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)