# SOCR EduMaterials AnalysisActivities TwoPairedT

### From Socr

## Two Paired Sample T-Test Example

We will demonstrate Two Paired T-Test with a SOCR built-in example. This example is based on a dataset 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.

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.

**2.** Click on the "**Mapping**" button to get to the "**Mapping**" panel. Click on **"ADD"** under **VARIABLE 1** and to **VARIABLE 2** add the variables for Two Paired Sample T-Test. We care about the difference, so which on goes to **VARIABLE 1** is arbitrary. You can just add column **A** to **VARIABLE 1** and **B** to **VARIABLE 2**.
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 a different way.

**3.** Click on "**Calculate**" then "**Result**" to see the results.

**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?