ci.tetra

Computes a confidence interval for an approximation to the tetrachoric
correlation. This function requires the frequency counts from a 2 x 2
contingency table for two dichotomous variables. This measure of
association assumes both of the dichotomous variables are artificially
dichotomous. An approximate standard error is recovered from the
confidence interval.

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.tetra function

<dl><dt>alpha</dt>
<dd>alpha level for 1-alpha confidence</dd>
<dt>f00</dt>
<dd>number of participants with y = 0 and x = 0</dd>
<dt>f01</dt>
<dd>number of participants with y = 0 and x = 1</dd>
<dt>f10</dt>
<dd>number of participants with y = 1 and x = 0</dd>
<dt>f11</dt>
<dd>number of participants with y = 1 and x = 1</dd></dl>

Arguments

Confidence interval for a tetrachoric correlation — ci.tetra

<dl>

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


<dt>f00</dt>
<dd>number of participants with y = 0 and x = 0</dd>


<dt>f01</dt>
<dd>number of participants with y = 0 and x = 1</dd>


<dt>f10</dt>
<dd>number of participants with y = 1 and x = 0</dd>


<dt>f11</dt>
<dd>number of participants with y = 1 and x = 1</dd>

</dl>

ci.tetra: Confidence interval for a tetrachoric correlation

Description

Usage

Value

Arguments

References

Examples