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They are often used in studies with repeated measures, hierarchical data, or longitudinal data

This entry begins by describing simple anovas before moving on to mixed model anovas. We will illustrate how you can perform a repeated measures anova using a standard type of analysis using proc glm and then show how you can perform the same analysis using proc mixed. If the design is a mixed design then we have both repeated and independent measures, so we have to check both assumptions In this case, we have only two levels of the repeated measure so the assumption of sphericity does not apply. This document will deal with the use of what are called mixed models (or linear mixed models, or hierarchical linear models, or many other things) for the analysis of what we normally think of as a simple repeated measures analysis of variance. This test is applied when each person provides values for both conditions.

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