<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"><html xmlns="http://www.w3.org/1999/xhtml"><head><title>R: d-delta for Between Subjects with Control Group SD...</title>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
<link rel="stylesheet" type="text/css" href="R.css" />
</head><body>

<table width="100%" summary="page for delta.ind.t"><tr><td>delta.ind.t</td><td style="text-align: right;">R Documentation</td></tr></table>

<h2>d-delta for Between Subjects with Control Group SD Denominator</h2>

<h3>Description</h3>

<p>This function displays d-delta for between subjects data
and the non-central confidence interval using the
control group standard deviation as the denominator.
</p>


<h3>Usage</h3>

<pre>
delta.ind.t(m1, m2, sd1, sd2, n1, n2, a = 0.05)
</pre>


<h3>Arguments</h3>

<table summary="R argblock">
<tr valign="top"><td><code>m1</code></td>
<td>
<p>mean from control group</p>
</td></tr>
<tr valign="top"><td><code>m2</code></td>
<td>
<p>mean from experimental group</p>
</td></tr>
<tr valign="top"><td><code>sd1</code></td>
<td>
<p>standard deviation from control group</p>
</td></tr>
<tr valign="top"><td><code>sd2</code></td>
<td>
<p>standard deviation from experimental group</p>
</td></tr>
<tr valign="top"><td><code>n1</code></td>
<td>
<p>sample size from control group</p>
</td></tr>
<tr valign="top"><td><code>n2</code></td>
<td>
<p>sample size from experimental group</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-delta, the mean of the experimental group
is subtracted from the mean of the control group, which
is divided by the standard deviation of the control group.
</p>
<p>d_delta = (m1 - m2) / sd1
</p>
<p><a href="https://www.aggieerin.com/shiny-server/tests/indtdelta.html">Learn more on our example page.</a>
</p>


<h3>Value</h3>

<p>Provides the effect size (Cohen's d) with associated confidence intervals,
the t-statistic, the confidence intervals associated with the means of each group, as well as the
standard deviations and standard errors of the means for each group.
</p>
<table summary="R valueblock">
<tr valign="top"><td><code>d</code></td>
<td>
<p>d-delta effect size</p>
</td></tr>
<tr valign="top"><td><code>dlow</code></td>
<td>
<p>lower level confidence interval of d-delta value</p>
</td></tr>
<tr valign="top"><td><code>dhigh</code></td>
<td>
<p>upper level confidence interval of d-delta value</p>
</td></tr>
<tr valign="top"><td><code>M1</code></td>
<td>
<p>mean of group one</p>
</td></tr>
<tr valign="top"><td><code>sd1</code></td>
<td>
<p>standard deviation of group one mean</p>
</td></tr>
<tr valign="top"><td><code>se1</code></td>
<td>
<p>standard error of group one mean</p>
</td></tr>
<tr valign="top"><td><code>M1low</code></td>
<td>
<p>lower level confidence interval of group one mean</p>
</td></tr>
<tr valign="top"><td><code>M1high</code></td>
<td>
<p>upper level confidence interval of group one mean</p>
</td></tr>
<tr valign="top"><td><code>M2</code></td>
<td>
<p>mean of group two</p>
</td></tr>
<tr valign="top"><td><code>sd2</code></td>
<td>
<p>standard deviation of group two mean</p>
</td></tr>
<tr valign="top"><td><code>se2</code></td>
<td>
<p>standard error of group two mean</p>
</td></tr>
<tr valign="top"><td><code>M2low</code></td>
<td>
<p>lower level confidence interval of group two mean</p>
</td></tr>
<tr valign="top"><td><code>M2high</code></td>
<td>
<p>upper level confidence interval of group two mean</p>
</td></tr>
<tr valign="top"><td><code>spooled</code></td>
<td>
<p>pooled standard deviation</p>
</td></tr>
<tr valign="top"><td><code>sepooled</code></td>
<td>
<p>pooled standard error</p>
</td></tr>
<tr valign="top"><td><code>n1</code></td>
<td>
<p>sample size of group one</p>
</td></tr>
<tr valign="top"><td><code>n2</code></td>
<td>
<p>sample size of group two</p>
</td></tr>
<tr valign="top"><td><code>df</code></td>
<td>
<p>degrees of freedom (n1 - 1 + n2 - 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 "indt_data" dataset, included
#in the MOTE library.

#A forensic psychologist conducted a study to examine whether
#being hypnotized during recall affects how well a witness
#can remember facts about an event. Eight participants
#watched a short film of a mock robbery, after which
#each participant was questioned about what he or she had
#seen. The four participants in the experimental group
#were questioned while they were hypnotized. The four
#participants in the control group recieved the same
#questioning without hypnosis.

    hyp = t.test(correctq ~ group, data = indt_data)

#You can type in the numbers directly, or refer to the dataset,
#as shown below.

    delta.ind.t(m1 = 17.75, m2 = 23,
               sd1 = 3.30, sd2 = 2.16,
                n1 = 4, n2 = 4, a = .05)

    delta.ind.t(17.75, 23, 3.30, 2.16, 4, 4, .05)

    delta.ind.t(mean(indt_data$correctq[indt_data$group == 1]),
            mean(indt_data$correctq[indt_data$group == 2]),
            sd(indt_data$correctq[indt_data$group == 1]),
            sd(indt_data$correctq[indt_data$group == 2]),
            length(indt_data$correctq[indt_data$group == 1]),
            length(indt_data$correctq[indt_data$group == 2]),
            .05)

#Contrary to the hypothesized result, the group that underwent hypnosis were
#significantly less accurate while reporting facts than the control group
#with a large effect size, t(6) = -2.66, p = .038, d_delta = 1.59.

</pre>


</body></html>
