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<table width="100%" summary="page for d.dep.t.diff"><tr><td>d.dep.t.diff</td><td style="text-align: right;">R Documentation</td></tr></table>

<h2>d for Dependent t with SD Difference Scores Denominator</h2>

<h3>Description</h3>

<p>This function displays d and the non-central confidence interval
for repeated measures data, using the standard deviation
of the difference score as the denominator.
</p>


<h3>Usage</h3>

<pre>
d.dep.t.diff(mdiff, sddiff, n, a = 0.05)
</pre>


<h3>Arguments</h3>

<table summary="R argblock">
<tr valign="top"><td><code>mdiff</code></td>
<td>
<p>mean difference score</p>
</td></tr>
<tr valign="top"><td><code>sddiff</code></td>
<td>
<p>standard deviation of the difference scores</p>
</td></tr>
<tr valign="top"><td><code>n</code></td>
<td>
<p>sample size</p>
</td></tr>
<tr valign="top"><td><code>a</code></td>
<td>
<p>significance level</p>
</td></tr>
</table>


<h3>Details</h3>

<p>To calculate d, the mean difference score is divided by
divided by the standard deviation of the difference scores.
</p>
<p>d_z = mdiff / sddiff
</p>
<p><a href="https://www.aggieerin.com/shiny-server/tests/deptdiffm.html">Learn more on our example page.</a>
</p>


<h3>Value</h3>

<p>The effect size (Cohen's d) with associated confidence intervals, mean
differences with associated confidence intervals, standard
deviation of the differences, standard error, sample size, degrees of
freedom, the t-statistic, and the p-value.
</p>
<table summary="R valueblock">
<tr valign="top"><td><code>d</code></td>
<td>
<p>effect size</p>
</td></tr>
<tr valign="top"><td><code>dlow</code></td>
<td>
<p>lower level confidence interval d value</p>
</td></tr>
<tr valign="top"><td><code>dhigh</code></td>
<td>
<p>upper level confidence interval d value</p>
</td></tr>
<tr valign="top"><td><code>mdiff</code></td>
<td>
<p>mean difference score</p>
</td></tr>
<tr valign="top"><td><code>Mlow</code></td>
<td>
<p>lower level of confidence interval of the mean</p>
</td></tr>
<tr valign="top"><td><code>Mhigh</code></td>
<td>
<p>upper level of confidence interval of the mean</p>
</td></tr>
<tr valign="top"><td><code>sddiff</code></td>
<td>
<p>standard deviation of the difference scores</p>
</td></tr>
<tr valign="top"><td><code>n</code></td>
<td>
<p>sample size</p>
</td></tr>
<tr valign="top"><td><code>df</code></td>
<td>
<p>degrees of freedom (sample size - 1)</p>
</td></tr>
<tr valign="top"><td><code>t</code></td>
<td>
<p>t-statistic</p>
</td></tr>
<tr valign="top"><td><code>p</code></td>
<td>
<p>p-value</p>
</td></tr>
<tr valign="top"><td><code>estimate</code></td>
<td>
<p>the d statistic and confidence interval in
APA style for markdown printing</p>
</td></tr>
<tr valign="top"><td><code>statistic</code></td>
<td>
<p>the t-statistic in APA style for markdown printing</p>
</td></tr>
</table>


<h3>Examples</h3>

<pre>

#The following example is derived from the "dept_data" dataset included
#in the MOTE library.

#In a study to test the effects of science fiction movies on people's
#belief in the supernatural, seven people completed a measure of belief
#in the supernatural before and after watching a popular science fiction movie.
#Higher scores indicated higher levels of belief. The mean difference score was 1.14,
#while the standard deviation of the difference scores was 2.12.

#You can type in the numbers directly as shown below,
#or refer to your dataset within the function.

    d.dep.t.diff(mdiff = 1.14, sddiff = 2.12, n = 7, a = .05)

    d.dep.t.diff(1.14, 2.12, 7, .05)

    d.dep.t.diff(mdiff = mean(dept_data$before - dept_data$after),
                 sddiff = sd(dept_data$before - dept_data$after),
                 n = length(dept_data$before),
                 a = .05)

#The mean measure of belief on the pretest was 5.57, with a standard
#deviation of 1.99. The posttest scores appeared lower (M = 4.43, SD = 2.88)
#but the dependent t-test was not significant using alpha = .05,
#t(7) = 1.43, p = .203, d_z = 0.54. The effect size was a medium
#effect suggesting that the movie may have influenced belief
#in the supernatural.

</pre>


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