Statistical Inference

  1. Categorical Data Analysis
    1. Chi-Squared Tests
      1. The Chi-Squared Test Statistic
        1. General Formula
          1. Expected vs Observed Frequencies
            1. Degrees of Freedom
              1. Assumptions and Conditions
              2. Goodness-of-Fit Test
                1. Testing Specified Distributions
                  1. Multinomial Distribution
                    1. Expected Frequency Calculation
                      1. Procedure and Examples
                        1. Testing for Normality
                          1. Testing for Uniformity
                          2. Test of Independence
                            1. Two-Way Contingency Tables
                              1. Null and Alternative Hypotheses
                                1. Expected Frequency Calculation
                                  1. Degrees of Freedom Formula
                                    1. Interpretation of Results
                                      1. Measures of Association
                                      2. Test of Homogeneity
                                        1. Comparing Multiple Populations
                                          1. Null and Alternative Hypotheses
                                            1. Relationship to Test of Independence
                                              1. Procedure and Examples
                                            2. Measures of Association
                                              1. Phi Coefficient
                                                1. Cramér's V
                                                  1. Contingency Coefficient
                                                    1. Odds Ratios
                                                      1. Definition and Interpretation
                                                        1. Confidence Intervals for Odds Ratios
                                                          1. Relative Risk vs Odds Ratio

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                                                      7. Two-Sample Parametric Tests

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                                                      9. Analysis of Variance (ANOVA)