# SOCR EduMaterials AnalysisActivities TwoPairedT

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==Two Paired Sample T-Test Example== | ==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 [http://cran.r-project.org/ 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. | + | This is a test for the hypothesis that two groups are with the same mean, while the data are actully paired. That is, Each value of group 1 has a corresponding value in group 2. |

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+ | ==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 [http://cran.r-project.org/ 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. | ||

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- | '''2.''' Click on the "'''Mapping'''" button to get to the "'''Mapping'''" panel. Click on '''"ADD"''' under '''VARIABLE 1''' | + | '''2.''' Click on the "'''Mapping'''" button to get to the "'''Mapping'''" panel. Click on '''"ADD"''' under '''VARIABLE 1''' to add '''A''' and click on '''ADD''' under '''VARIABLE 2''' to add '''B'''. We care about the difference, so which on goes to '''VARIABLE 1''' or '''VARIABLE 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. |

- | 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 | + | |

## Revision as of 22:18, 6 August 2007

## Two Paired Sample T-Test Example

This is a test for the hypothesis that two groups are with the same mean, while the data are actully paired. That is, Each value of group 1 has a corresponding value in group 2.

## 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** to add **A** and click on **ADD** under **VARIABLE 2** to add **B**. We care about the difference, so which on goes to **VARIABLE 1** or **VARIABLE 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.

**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?

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