13. Factorial ANOVA with Repeated-Measures Factors and Between-Subjects Factors

Introduction: The Basics of Mixed-Design ANOVA326
 Extension of the Single-Group Design326
 Advantages of the Two-Group Repeated-Measures Design329
 Random Assignment to Groups330
 Studies with More Than Two Groups330
Some Possible Results from a Two-Way Mixed-Design ANOVA331
 A Significant Interaction331
 Significant Main Effects332
 Nonsignificant Interaction, Nonsignificant Main Effects335
Problems with the Mixed-Design ANOVA336
Example with a Nonsignificant Interaction336
 Writing the SAS Program337
 Notes Regarding the SAS Program341
 Results from the SAS Output342
 Steps in Interpreting the Output345
 Summarizing the Results of the Analysis348
 Formal Description of Results for a Paper348
Example with a Significant Interaction349
 Steps in Interpreting the Output352
 Formal Description of Results for a Paper363
Use of Other Post-Hoc Tests with the Repeated-Measures Variable364
Conclusion364
Assumptions Underlying Factorial ANOVA with Repeated-Measures Factors and Between-Subjects Factors364
 Assumptions for the Multivariate Test365
 Assumptions for the Univariate Test365
References366

Overview

This chapter shows how to enter data and prepare SAS programs to perform a two-way mixed-design ANOVA using the REPEATED statement with the GLM procedure. Guidelines for the hierarchical interpretation of the analysis are provided. This chapter shows how to interpret a significant interaction between the repeated-measures factor and the between-subjects factor as well as how to interpret main effects in the absence of an interaction. It also provides an alternative method of performing the analysis that allows for use of a variety of SAS/STAT post-hoc multiple-comparisons tests.


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