ci.bayes.cor

Computes an approximate Bayesian credible interval for a Pearson or
partial correlation with a skeptical prior. The skeptical prior
distribution is Normal with a mean of 0 and a small standard deviation.
A skeptical prior assumes that the population correlation is within
a range of small values (-r to r). If the skeptic is 95% confident that
the population correlation is between -r and r, then the prior standard
deviation can be set to r/1.96. A correlation that is less than .2 in
absolute value is typically considered to be "small", and the prior
standard deviation could then be set to .2/1.96. A correlation value
that is considered to be small will depend on the application. Set s = 0
for a Pearson correlation.

Implements confidence interval and sample size methods that
are especially useful in psychological research. The methods can be
applied in 1-group, 2-group, paired-samples, and multiple-group designs
and to a variety of parameters including means, medians, proportions,
slopes, standardized mean differences, standardized linear contrasts
of means, plus several measures of correlation and association.
Confidence interval and sample size functions are given for single
parameters as well as differences, ratios, and linear contrasts of
parameters. The sample size functions can be used to approximate the
sample size needed to estimate a parameter or function of parameters
with desired confidence interval precision or to perform a variety of
hypothesis tests (directional two-sided, equivalence, superiority,
noninferiority) with desired power. For details see: Statistical Methods
for Psychologists, Volumes 1 – 4, <https://dgbonett.sites.ucsc.edu/>.

Douglas G. Bonett

statpsych

Statistical Methods for Psychologists

Robert J. Calin-Jageman

ci.bayes.cor function

<dl><dt>alpha</dt>
<dd>alpha level for 1-alpha credibility interval</dd>
<dt>prior_sd</dt>
<dd>standard deviation of skeptical prior distribution</dd>
<dt>cor</dt>
<dd>estimated Pearson or partial correlation</dd>
<dt>s</dt>
<dd>number of control variables</dd>
<dt>n</dt>
<dd>sample size</dd></dl>

Arguments

Bayesian credible interval for a Pearson or partial correlation with a
skeptical prior — ci.bayes.cor

<dl>

<dt>alpha</dt>
<dd>alpha level for 1-alpha credibility interval</dd>


<dt>prior_sd</dt>
<dd>standard deviation of skeptical prior distribution</dd>


<dt>cor</dt>
<dd>estimated Pearson or partial correlation</dd>


<dt>s</dt>
<dd>number of control variables</dd>


<dt>n</dt>
<dd>sample size</dd>

</dl>

ci.bayes.cor: Bayesian credible interval for a Pearson or partial correlation with a skeptical prior

Description

Usage

Value

Arguments

Examples