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 a 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. 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.
For more details, see Section 2.36 of Bonett (2021, Volume 2)

Implements confidence interval and sample size methods that are especially
useful in psychological research but are also useful in educational, social science,
business, and biological research. This package includes more than 100 confidence
interval functions and more than 80 sample size functions for 1-group, 2-group,
paired-samples, and multiple-group designs and for a variety of parameters including
means, medians, proportions, slopes, standardized mean differences, standardized
linear contrasts of means, and several measures of correlation and association. 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 about these methods 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 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 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

References

Examples