ci.icc

Computes a confidence interval for a population intraclass reliability
coefficient using mean squared estimates from a two-way ANOVA. This
function will compute point and interval estimates of the ICC(C, 1) and
ICC(C, r) reliability coefficients where ICC(C, 1) is the reliability of
a single measurements (e.g., a single rater or a single form of a test)
and ICC(C, r) is the reliability of a sum or average of r measurements.
ICC(C, r) is the same as Cronbach's reliability coefficient. The
ci.cronbach function uses a point estimate of Cronbach's reliability
as input. The confidence intervals used in this function assume parallel
measurements which implies a compound symmetric covariance matrix of
the r measurements.

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.icc function

<dl><dt>alpha</dt>
<dd>alpha level for 1-alpha confidence</dd>
<dt>MSr</dt>
<dd>mean square for rows</dd>
<dt>MSe</dt>
<dd>error mean square</dd>
<dt>r</dt>
<dd>number of measurements (items, raters, forms)</dd>
<dt>n</dt>
<dd>sample size</dd></dl>

Arguments

Confidence interval for an intraclass reliability coefficient — ci.icc

<dl>

<dt>alpha</dt>
<dd>alpha level for 1-alpha confidence</dd>


<dt>MSr</dt>
<dd>mean square for rows</dd>


<dt>MSe</dt>
<dd>error mean square</dd>


<dt>r</dt>
<dd>number of measurements (items, raters, forms)</dd>


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

</dl>

ci.icc: Confidence interval for an intraclass reliability coefficient

Description

Usage

Value

Arguments

References

Examples