ci.bayes.normal

Computes an approximate Bayesian credible interval for a normal prior
distribution. This function can be used with any parameter estimator
(e.g., mean, mean difference, linear contrast of means, slope coefficient,
standardized mean difference, standardized linear contrast of means, median,
median difference, linear contrast of medians, etc.) that has an approximate
normal sampling distribution. The mean and standard deviation of the posterior
normal distribution are also reported.

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.normal function

<dl><dt>alpha</dt>
<dd>alpha level for 1-alpha credibility interval</dd>
<dt>prior_mean</dt>
<dd>mean of prior Normal distribution</dd>
<dt>prior_sd</dt>
<dd>standard deviation of prior Normal distribution</dd>
<dt>est</dt>
<dd>sample estimate</dd>
<dt>se</dt>
<dd>standard error of sample estimate</dd></dl>

Arguments

Bayesian credible interval for a normal prior distribution — ci.bayes.normal

<dl>

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


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


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


<dt>est</dt>
<dd>sample estimate</dd>


<dt>se</dt>
<dd>standard error of sample estimate</dd>

</dl>

ci.bayes.normal: Bayesian credible interval for a normal prior distribution

Description

Usage

Value

Arguments

References

Examples