Multivariate Analysis

  1. Multivariate Analysis of Variance
    1. MANOVA Conceptual Framework
      1. Extension of ANOVA
        1. Multiple Dependent Variables
          1. Simultaneous Testing
            1. Type I Error Control
            2. MANOVA vs. Multiple ANOVAs
              1. Advantages of MANOVA
                1. Power Considerations
                  1. Interpretation Differences
                  2. MANOVA Assumptions
                    1. Independence of Observations
                      1. Multivariate Normality
                        1. Homogeneity of Covariance Matrices
                          1. Box's M Test
                            1. Robustness Considerations
                            2. Adequate Sample Size
                            3. MANOVA Test Statistics
                              1. Wilks' Lambda
                                1. Pillai's Trace
                                  1. Hotelling-Lawley Trace
                                    1. Roy's Largest Root
                                      1. Choosing Among Test Statistics
                                      2. One-Way MANOVA
                                        1. Model Specification
                                          1. Hypothesis Formulation
                                            1. Test Statistic Calculation
                                              1. Effect Size Measures
                                              2. Factorial MANOVA
                                                1. Two-Way MANOVA
                                                  1. Interaction Effects
                                                    1. Main Effects
                                                    2. Follow-Up Analyses
                                                      1. Univariate ANOVAs
                                                        1. Bonferroni Correction
                                                          1. Roy-Bargmann Stepdown Analysis
                                                            1. Discriminant Analysis
                                                            2. Effect Size and Power
                                                              1. Multivariate Effect Size
                                                                1. Power Analysis
                                                                  1. Sample Size Determination

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                                                                9. Discriminant Analysis