https://wiki.socr.umich.edu/api.php?action=feedcontributions&feedformat=atom&user=Brian+Trinity 2026-07-21T09:34:53Z User contributions MediaWiki 1.31.6 https://wiki.socr.umich.edu/index.php?title=SOCR_EduMaterials_AnalysisActivities_TwoIndepT&diff=5676 2008-01-09T19:22:51Z

<p>Brian Trinity: </p> <hr /> <div>==Two Independent Sample T-Test Background==<br /> Given two groups of data, not necessarily with same sample size, we'd like to test the null hpothesis that the two groups have equal mean. This is a parametric test.<br /> <br /> ==Two Independent Sample T-Test Example (Poored Sample Variance) ==<br /> We will demonstrate Two Independent T-Test with a SOCR built-in example.<br /> This example is based on the data taken from &quot;Mathematical Statistics and Data Analysis&quot; by John A. Rice, Second Edition, Ducbury Press, 1995. (Page 390) <br /> <br /> Here's the steps of the activity:<br /> <br /> '''1.''' Click on '''Two Independent Sample T-Test (Poored)''' at the left panel's combo box.<br /> &lt;center&gt;[[Image:SOCR_AnalysisActivities_TwoIndepT_Chu_051707_Fig1.gif|700px]]&lt;/center&gt;<br /> <br /> <br /> &lt;center&gt;[[Image:SOCR_AnalysisActivities_TwoIndepT_Chu_051707_Fig1A.gif|450px]]&lt;/center&gt;<br /> <br /> <br /> On the right panel, first click on '''EXAMPLE 1''' and next click on &quot;Data&quot; to retreive the demonstrated example. This is the example we'll be looking at. <br /> <br /> &lt;center&gt;[[Image:SOCR_AnalysisActivities_TwoIndepT_Chu_051707_Fig2.gif|700px]]&lt;/center&gt;<br /> <br /> <br /> '''2.''' Click on the &quot;'''Mapping'''&quot; button to get to the &quot;'''Mapping'''&quot; panel. Click on '''&quot;ADD&quot;''' under '''VARIABLE 1''' and to add '''A''', and click on '''ADD''' under '''VARIABLE 2''' to add '''B'''. This will add the variables for Two Independent Sample T-Test. We care about the difference, so which on goes to '''VARIABLE 1''' or '''VARIALBE 2''' is arbitrary. Here, the computer will set difference = Variable 2 - Variable 1. If you like the substraction to go the other way around, simple assign '''VARIABLE 1''' and '''VARIABLE 2''' in the opposite way. <br /> <br /> <br /> &lt;center&gt;[[Image:SOCR_AnalysisActivities_TwoIndepT_Chu_051707_Fig3.gif|700px]]&lt;/center&gt;<br /> <br /> <br /> '''3.''' Click on &quot;'''Calculate'''&quot; then click on &quot;'''Result'''&quot; to see the results.<br /> <br /> <br /> &lt;center&gt;[[Image:SOCR_AnalysisActivities_TwoIndepT_Chu_051707_Fig4.gif|700px]]&lt;/center&gt;<br /> <br /> <br /> '''Questions for students:''' By looking at the test results, what do you think about the data? 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Brian Trinity