SOCR EduMaterials AnalysisActivities TwoPairedT
Two Paired Sample T-Test Example
We will demonstrate Two Paired T-Test with some SOCR built-in examples. This example is based on the data taken from the statistical program "R." For more information of the R program, please see CRAN Home Page. The dataset used here is "shoes" under R's "MASS" library. In the dataset, ten boys are given to the wear of shoes of materials A and B for one foot. We'd like to find if one material is better than the other.
Here's the steps of the activity:
1. Click on Two Paired Sample T-Test at the left panel's combo box.
![SOCR AnalysisActivities TwoPairedT Chu 051707 Fig1.gif](/images/thumb/3/35/SOCR_AnalysisActivities_TwoPairedT_Chu_051707_Fig1.gif/700px-SOCR_AnalysisActivities_TwoPairedT_Chu_051707_Fig1.gif)
![SOCR AnalysisActivities TwoPairedT Chu 051707 Fig1A.gif](/images/6/60/SOCR_AnalysisActivities_TwoPairedT_Chu_051707_Fig1A.gif)
On the right panel, first click on EXAMPLE 3 and next click on "Data" to retreive the demonstrated example. This is the example we'll be looking at.Note that the data are difference of B - A.
![SOCR AnalysisActivities TwoPairedT Chu 051707 Fig2.gif](/images/thumb/9/93/SOCR_AnalysisActivities_TwoPairedT_Chu_051707_Fig2.gif/700px-SOCR_AnalysisActivities_TwoPairedT_Chu_051707_Fig2.gif)
2. Click on the "Mapping" button to get to the "Mapping" panel. Click on "Add" under Dependent to add the variable for One Sample T-Test. Here, the Column X = B - A. Don't worry about C2 to C16 etc.
![SOCR AnalysisActivities TwoPairedT Chu 051707 Fig3.gif](/images/thumb/a/a4/SOCR_AnalysisActivities_TwoPairedT_Chu_051707_Fig3.gif/700px-SOCR_AnalysisActivities_TwoPairedT_Chu_051707_Fig3.gif)
3. Click on "Calculate" then "Result" to see the results.
![SOCR AnalysisActivities TwoPairedT Chu 051707 Fig4.gif](/images/thumb/d/d5/SOCR_AnalysisActivities_TwoPairedT_Chu_051707_Fig4.gif/700px-SOCR_AnalysisActivities_TwoPairedT_Chu_051707_Fig4.gif)
Questions for students: By looking at the test results, what do you think about the data? What can you say about the two different shoe materials?