8. t Tests: Independent Samples and Paired Samples

Introduction: Two Types of t Tests168
The Independent-Samples t Test169
 Example: A Test of the Investment Model169
 Writing the SAS Program173
 Notes Regarding the SAS Program174
 Results from the SAS Output175
 Steps in Interpreting the Output176
 Summarizing the Analysis Results182
 An Example with Nonsignificant Differences184
The Paired-Samples t Test188
 Paired Samples versus Independent Samples188
 Examples of Paired-Samples Research Designs188
 Problems with the Paired-Samples Approach192
 When to Use the Paired-Samples Approach193
 Example: An Alternative Test of the Investment Model195
 Example: A Pretest-Posttest Study204
Conclusion207
Assumptions Underlying the t Test207
 Assumptions Underlying the Independent-Samples t Test207
 Assumptions Underlying the Paired-Samples t Test208
References208

Overview

This chapter describes the differences between the independent-samples t test and the paired-samples t test, and shows how to perform both types of analyses. It develops an example of a research design that would provide data appropriate for a t test. With respect to the independent-samples test, the chapter shows how to write the necessary program using PROC TTEST, determine whether the equal-variances or unequal variances t test is appropriate, and interpret the results. With respect to the paired-samples test, it provides examples of paired-samples research designs, discusses problems with these designs, and shows how to perform the analysis using PROC MEANS and PROC TTEST.


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