Design of Experiments

  1. Analysis of Variance (ANOVA)
    1. One-Way ANOVA
      1. ANOVA Model and Assumptions
        1. Normality Assumption
          1. Homogeneity of Variance
            1. Independence Assumption
            2. Sum of Squares Decomposition
              1. Total Sum of Squares
                1. Between-Groups Sum of Squares
                  1. Within-Groups Sum of Squares
                  2. F-Test and F-Distribution
                    1. ANOVA Table Construction
                      1. Effect Size Measures
                        1. Eta-squared
                          1. Omega-squared
                          2. Model Adequacy Checking
                            1. Residual Analysis
                              1. Normality Tests
                                1. Homogeneity Tests
                                  1. Outlier Detection
                                  2. Multiple Comparisons
                                    1. Family-wise Error Rate
                                      1. Tukey's HSD Test
                                        1. Fisher's LSD
                                          1. Dunnett's Test
                                            1. Bonferroni Correction
                                              1. Scheffe's Method
                                              2. Non-parametric Alternatives
                                                1. Kruskal-Wallis Test
                                                  1. Friedman Test
                                                2. Two-Way ANOVA
                                                  1. Model Structure
                                                    1. Main Effects
                                                      1. Interaction Effects
                                                        1. Additive vs. Non-additive Models
                                                        2. Balanced vs. Unbalanced Designs
                                                          1. Sum of Squares Decomposition
                                                            1. Interaction Interpretation
                                                              1. Simple Effects Analysis
                                                                1. Model Adequacy Assessment
                                                                2. Higher-Order ANOVA
                                                                  1. Three-Way ANOVA
                                                                    1. Multi-factor Interactions
                                                                      1. Hierarchical Models

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                                                                    4. Simple Comparative Experiments

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                                                                    6. Factorial Designs