ci.yule

Computes confidence intervals for four generalized Yule measures of
association (Yule Q, Yule Y, Digby H, and Bonett-Price Y*) using a
transformation of a confidence interval for an odds ratio with .5 added to
each cell frequency. This function requires the frequency counts from a
2 x 2 contingency table for two dichotomous variables. Digby H is sometimes
used as a crude approximation to the tetrachoric correlation. Yule Y is
equal to the phi coefficient only when all marginal frequencies are equal.
Bonett-Price Y* is a better approximation to the phi coefficient when the
marginal frequencies are not equal.
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.yule 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 intervals for generalized Yule coefficients — ci.yule

<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.yule: Confidence intervals for generalized Yule coefficients

Description

Usage

Value

Arguments

References

Examples