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.
For more details, see Section 3.4 of Bonett (2021, Volume 3)

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.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