ci.2x2.median.ws

Computes distribution-free confidence intervals for the AB interaction
effect, main effect of A, main effect of B, simple main effects of A, and
simple main effects of B in a 2x2 within-subjects design. The effects are
defined in terms of medians rather than means. Tied scores within each
level combination are assumed to be rare.

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

ci.2x2.median.ws function

<dl><dt>alpha</dt>
<dd>alpha level for 1-alpha confidence</dd>
<dt>y11</dt>
<dd>vector of scores at level 1 of A and level 1 of B</dd>
<dt>y12</dt>
<dd>vector of scores at level 1 of A and level 2 of B</dd>
<dt>y21</dt>
<dd>vector of scores at level 2 of A and level 1 of B</dd>
<dt>y22</dt>
<dd>vector of scores at level 2 of A and level 2 of B</dd></dl>

Arguments

Computes confidence intervals of effects in a 2x2 within-subjects design
for medians — ci.2x2.median.ws

<dl>

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


<dt>y11</dt>
<dd>vector of scores at level 1 of A and level 1 of B</dd>


<dt>y12</dt>
<dd>vector of scores at level 1 of A and level 2 of B</dd>


<dt>y21</dt>
<dd>vector of scores at level 2 of A and level 1 of B</dd>


<dt>y22</dt>
<dd>vector of scores at level 2 of A and level 2 of B</dd>

</dl>

ci.2x2.median.ws: Computes confidence intervals of effects in a 2x2 within-subjects design for medians

Description

Usage

Value

Arguments

References

Examples