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Lesson 5 SPSS Paired Sample T Test

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Lesson 5: Paired-Samples 

t Test
Objectives

1. Conduct a paired-samples t test.
2. Interpret the output of the paired-samples t test.

Overview

The paired-samples or dependent t test is used for within-subjects or matched-pairs designs in which


observations in the groups are linked. The linkage could be based on repeated measures, natural
pairings such as mothers and daughters, or pairings created by the experimenter. In any of these
cases, the analysis is the same. The dependency between the two observations is taken into account,
and each set of observations serves as its own control, making this a generally more powerful test
than the independent-samples t test. Because of the dependency, the degrees of freedom for the
paired-samples t test are based on the number of pairs rather than the number of observations.

Example

Imagine that you conducted an experiment to test the the effects of the presence of others
(independent variable) on problem-solving performance (dependent variable). Assume further that
you used a within-subjects design; that is, each participant was tested alone and in the presence of
others on different days using comparable tasks. Higher scores indicate better problem-solving
performance. The data appear below:

Participant Alone Others


1 12 10
2 8 6
3 4 5
4 6 5
5 12 10
6 6 5
7 11 7
8 5 3
9 7 6
10 12 7
11 9 8
12 5 2

The following figure shows the variable view of the structure of the dataset:
Figure 5-1 Dataset variable view

Entering Data for a Within-Subjects Design: Key Point

When you enter data for a within-subjects design, there must be a separate column for each
condition. This tells SPSS that the two data points are linked for a given participant. Unlike the
independent-samples t test where a grouping variable is required, there is no additional grouping
variable in the paired-samples t  test. The properly configured data are shown in the following
screenshot of the SPSS Data Editor Data View:

Figure 5-2 Dataset data view


Performing the Paired-Samples t test Step-by-Step

The SPSS data file for this example can be found here. After you have entered or opened the dataset,
you should follow these steps in order.

Click on Analyze, Compare Means, and then Paired-Samples T test.

Figure 5-3 Select Paired-Samples T Test

In the resulting dialog box, click on the label for Alone and then press <Shift> and click on the label
for Others. Click on the arrow to move this pair of variables to the Paired Variables window.
Figure 5-4 Identify paired variables

Interpreting the Paired-Samples t Test Output

Click OK and the following output appears in the SPSS Output Viewer Window (see Figure 5-5). Note
that the correlation between the two observations is reported along with its p level, and that the value
of t, the degrees of freedom (df), and the p level of the calculated t are reported as well.

Figure 5-5 Paired-Samples T Test output

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