Statistics with R

  1. Analysis of Variance (ANOVA)
    1. ANOVA Concepts
      1. Purpose of ANOVA
        1. Between-group vs Within-group Variation
          1. F-statistic
            1. ANOVA Table
            2. One-Way ANOVA
              1. Assumptions
                1. Independence
                  1. Normality
                    1. Homogeneity of Variance
                    2. Hypothesis Testing
                      1. Implementation in R
                        1. Interpretation of Results
                        2. ANOVA Diagnostics
                          1. Residual Analysis
                            1. Normality Tests
                              1. Homogeneity Tests
                                1. Outlier Detection
                                2. Post-Hoc Tests
                                  1. Multiple Comparisons Problem
                                    1. Tukey's HSD
                                      1. Bonferroni Correction
                                        1. Scheffe's Test
                                          1. Dunnett's Test
                                          2. Two-Way ANOVA
                                            1. Main Effects
                                              1. Interaction Effects
                                                1. Factorial Design
                                                  1. Implementation in R
                                                    1. Interpretation
                                                    2. Repeated Measures ANOVA
                                                      1. Within-subjects Design
                                                        1. Sphericity Assumption
                                                          1. Implementation
                                                          2. Nonparametric ANOVA
                                                            1. Kruskal-Wallis Test
                                                              1. Friedman Test

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                                                            18. Chi-squared Tests

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                                                            20. Correlation Analysis