# West Chester University Multivariate Analysis of Variance Report

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This week we will continue to extend the use of the ANOVA model by looking at MANOVAs and RANOVAs.  While many of the assumptions are the same, and the important parts of the outputs are the same, these models are not simple extensions of the one-way ANOVA.  These models help researchers work around some important methodological issues.  Specifically, the MANOVA allows researchers to test two related dependent variables at the same time.  Most of the common statistical methods only allow for one dependent variable.  Furthermore, this allows researchers to test two dependent variables without having to create a factor variable and avoid potential errors by running a series of ANOVAs.  The RANOVA is similar in nature to the paired (dependent) ttest, but is designed to handle more than two categories. Inexperienced researchers faced with a situation with more than two trials or events for an observation would likely run a series of paired sample ttest, which increases the likelihood for errors in interpretation. In sum, grasping the MANOVA and RANOVA will provide you with very useful tools for future research.

Module Learning Objectives

By the end of this module, learners will be able to:

Understand the assumptions related to the MANOVA an RANOVA.

Compute a MANOVA and RANOVA in SPSS.

Interpret the SPSS outputs for a MANOVA and RANOVA test.

1. AB 2 chapter 6,7
2. Assignment Reminders
3. Lab 10:

Briefly describe when and why a researcher would use each test covered this week.

Write a research question that is in line with each test covered this week.

Find an academic article in your area of interest that uses each test covered this week.  Provide a brief summary of the research question, the data used, the results, and discussion/conclusion of the article.

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