ci.mann

Computes a distribution-free confidence interval for the Mann-Whitney
parameter (a "common language effect size"). In a 2-group experiment, this
parameter is the proportion of members in the population with scores that
would be higher under treatment 1 than treatment 2. In a 2-group
nonexperiment where participants are sampled from two subpopulations of
sizes N1 and N2, the parameter is the proportion of all N1 x N2 pairs in
which a member from subpopulation 1 has a larger score than a member from
subpopulation 2.
For more details, see Section 2.12 of Bonett (2021, Volume 1)

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.mann function

<dl><dt>alpha</dt>
<dd>alpha level for 1-alpha confidence</dd>
<dt>y1</dt>
<dd>vector of scores for group 1</dd>
<dt>y2</dt>
<dd>vector of scores for group 2</dd></dl>

Arguments

Confidence interval for a Mann-Whitney parameter — ci.mann

<dl>

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


<dt>y1</dt>
<dd>vector of scores for group 1</dd>


<dt>y2</dt>
<dd>vector of scores for group 2</dd>

</dl>

ci.mann: Confidence interval for a Mann-Whitney parameter

Description

Usage

Value

Arguments

References

Examples