size.supinf.prop.ps

Computes the sample size required to perform a superiority or inferiority
test for the difference in population proportions with desired power in a
paired-samples design. For a superiority test, specify the upper limit (h)
for the range of practical equivalence and specify values of p1 and p2 such
that p1 - p2 &gt; h. For an inferiority test, specify the lower limit (-h) for
the range of practical equivalence and specify values of p1 and p2 such
that p1 - p2 &gt; -h. This function sets the effect size equal to the
difference in proportion planning values. Set the phi correlation planning
value to the smallest value within a plausible range for a conservatively
large sample size.

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

size.supinf.prop.ps function

<dl><dt>alpha</dt>
<dd>alpha level for hypothesis test</dd>
<dt>pow</dt>
<dd>desired power</dd>
<dt>p1</dt>
<dd>planning value of proportion for measurement 1</dd>
<dt>p2</dt>
<dd>planning value of proportion for measurement 2</dd>
<dt>phi</dt>
<dd>planning value of phi correlation</dd>
<dt>h</dt>
<dd>lower or upper limit for range of practical equivalence</dd></dl>

Arguments

Sample size for a paired-samples superiority or inferiority test of
proportions — size.supinf.prop.ps

<dl>

<dt>alpha</dt>
<dd>alpha level for hypothesis test</dd>


<dt>pow</dt>
<dd>desired power</dd>


<dt>p1</dt>
<dd>planning value of proportion for measurement 1</dd>


<dt>p2</dt>
<dd>planning value of proportion for measurement 2</dd>


<dt>phi</dt>
<dd>planning value of phi correlation</dd>


<dt>h</dt>
<dd>lower or upper limit for range of practical equivalence</dd>

</dl>

size.supinf.prop.ps: Sample size for a paired-samples superiority or inferiority test of proportions

Description

Usage

Value

Arguments

Examples