Statistics

  1. Analysis of Variance (ANOVA)
    1. One-Way ANOVA
      1. Purpose
        1. Comparing Multiple Means
          1. Extension of t-test
          2. Assumptions
            1. Normality
              1. Testing Normality
                1. Robustness
                2. Homogeneity of Variance
                  1. Levene's Test
                    1. Bartlett's Test
                    2. Independence
                      1. Random Sampling
                        1. Experimental Design
                      2. Hypotheses
                        1. Null Hypothesis
                          1. Alternative Hypothesis
                          2. F-Distribution
                            1. Use in ANOVA
                              1. Degrees of Freedom
                              2. ANOVA Table
                                1. Sources of Variation
                                  1. Between Groups
                                    1. Within Groups
                                      1. Total
                                      2. Calculation of Sums of Squares
                                        1. SSB (Sum of Squares Between)
                                          1. SSW (Sum of Squares Within)
                                            1. SST (Total Sum of Squares)
                                            2. Mean Squares and F-Ratio
                                              1. MSB (Mean Square Between)
                                                1. MSW (Mean Square Within)
                                                  1. F-statistic Calculation
                                                2. Post-Hoc Tests
                                                  1. Need for Multiple Comparisons
                                                    1. Tukey's HSD
                                                      1. Purpose
                                                        1. Calculation
                                                          1. Interpretation
                                                          2. Bonferroni Correction
                                                            1. Scheffé's Method
                                                          3. Two-Way ANOVA
                                                            1. Purpose
                                                              1. Two Factor Analysis
                                                                1. Interaction Effects
                                                                2. Main Effects
                                                                  1. Factor A Effects
                                                                    1. Factor B Effects
                                                                    2. Interaction Effects
                                                                      1. Interpretation
                                                                        1. Graphical Analysis
                                                                        2. Assumptions
                                                                          1. Same as One-Way ANOVA
                                                                          2. ANOVA Table Structure
                                                                            1. Sources of Variation
                                                                              1. F-tests for Each Effect
                                                                              2. Interpretation of Results
                                                                                1. Significant Main Effects
                                                                                  1. Significant Interactions
                                                                                    1. Simple Effects Analysis

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                                                                                8. Inferential Statistics: Hypothesis Testing

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                                                                                10. Correlation and Regression