ci.bayes.spcor

Computes an approximate Bayesian credible interval for a semipartial
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 semipartial 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 semipartial 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 = .1. A semipartial correlation value
that is considered to be small will depend on the application. This function
requires the standard error of the estimated semipartial correlation which
can be obtained from the ci.spcor function.

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.spcor 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 semipartial partial correlation</dd>
<dt>se</dt>
<dd>standard error of estimated semipartial correlation</dd></dl>

Arguments

Bayesian credible interval for a semipartial correlation with a
skeptical prior — ci.bayes.spcor

<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 semipartial partial correlation</dd>


<dt>se</dt>
<dd>standard error of estimated semipartial correlation</dd>

</dl>

ci.bayes.spcor: Bayesian credible interval for a semipartial correlation with a skeptical prior

Description

Usage

Value

Arguments

Examples