ci.bayes.prop

Computes a Bayesian credible interval for a population proportion using the
mean and standard deviation of a prior Beta distribution along with sample
information. The mean and standard deviation of the posterior Beta
distribution are also reported. For a noninformative prior, set the prior
mean to .5 and the prior standard deviation to 1/sqrt(12) (which
corresponds to a Beta(1,1) distribution). The prior variance must be
less than m(1 - m) where m is the prior mean.

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.prop function

<dl><dt>alpha</dt>
<dd>alpha level for 1-alpha credibility interval</dd>
<dt>prior_mean</dt>
<dd>mean of prior Beta distribution</dd>
<dt>prior_sd</dt>
<dd>standard deviation of prior Beta distribution</dd>
<dt>f</dt>
<dd>number of participants who have the attribute</dd>
<dt>n</dt>
<dd>sample size</dd></dl>

Arguments

Bayesian credible interval for a proportion — ci.bayes.prop

<dl>

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


<dt>prior_mean</dt>
<dd>mean of prior Beta distribution</dd>


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


<dt>f</dt>
<dd>number of participants who have the attribute</dd>


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

</dl>

ci.bayes.prop: Bayesian credible interval for a proportion

Description

Usage

Value

Arguments

References

Examples