sim.ci.mean.ps

Performs a computer simulation of confidence interval performance for a
population mean difference in a paired-samples design. Sample data for the two
levels of the within-subjects factor can be generated from bivariate population
distributions with five different marginal distributions. All distributions
are scaled to have standard deviations of 1.0 at level 1. Bivariate random
data with specified marginal skewness and kurtosis are generated using the
unonr function in the mnonr package.

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

sim.ci.mean.ps function

<dl><dt>alpha</dt>
<dd>alpha level for 1-alpha confidence</dd>
<dt>n</dt>
<dd>sample size</dd>
<dt>sd.ratio</dt>
<dd>ratio of population standard deviations</dd>
<dt>cor</dt>
<dd>population correlation of paired observations</dd>
<dt>dist1</dt>
<dd>type of distribution at level 1 (1, 2, 3, 4, or 5)</dd>
<dt>dist2</dt>
<dd>type of distribution at level 2 (1, 2, 3, 4, or 5)<ul>
<li>1 = Gaussian (skewness = 0 and excess kurtosis = 0)</li>
<li>2 = platykurtic (skewness = 0 and excess kurtosis = -1.2)</li>
<li>3 = leptokurtic (skewness = 0 and excess kurtosis = 6)</li>
<li>4 = moderate skew (skewness = 1 and excess kurtosis = 1.5)</li>
<li>5 = large skew (skewness = 2 and excess kurtosis = 6)</li>
</ul></dd>
<dt>rep</dt>
<dd>number of Monte Carlo samples</dd></dl>

Arguments

Simulates confidence interval coverage probability for a paired-samples mean
difference — sim.ci.mean.ps

<dl>

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


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


<dt>sd.ratio</dt>
<dd>ratio of population standard deviations</dd>


<dt>cor</dt>
<dd>population correlation of paired observations</dd>


<dt>dist1</dt>
<dd>type of distribution at level 1 (1, 2, 3, 4, or 5)</dd>


<dt>dist2</dt>
<dd>type of distribution at level 2 (1, 2, 3, 4, or 5)<ul>
<li>1 = Gaussian (skewness = 0 and excess kurtosis = 0)</li>
<li>2 = platykurtic (skewness = 0 and excess kurtosis = -1.2)</li>
<li>3 = leptokurtic (skewness = 0 and excess kurtosis = 6)</li>
<li>4 = moderate skew (skewness = 1 and excess kurtosis = 1.5)</li>
<li>5 = large skew (skewness = 2 and excess kurtosis = 6)</li>
</ul></dd>


<dt>rep</dt>
<dd>number of Monte Carlo samples</dd>

</dl>

sim.ci.mean.ps: Simulates confidence interval coverage probability for a paired-samples mean difference

Description

Usage

Value

Arguments

Examples