Statistical Inference

  1. Two-Sample Parametric Tests
    1. Comparing Two Population Means
      1. Independent Samples t-Test
        1. Assumptions and Conditions
          1. Equal Variances Assumed
            1. Pooled Variance Estimator
              1. Degrees of Freedom
                1. Test Statistic
                2. Unequal Variances (Welch's t-Test)
                  1. Separate Variance Estimator
                    1. Satterthwaite Approximation
                      1. Degrees of Freedom Calculation
                      2. Testing for Equal Variances
                        1. F-Test for Equal Variances
                          1. Levene's Test
                        2. Paired Samples t-Test
                          1. When to Use Paired Design
                            1. Assumptions and Conditions
                              1. Test Statistic for Mean Difference
                                1. Advantages of Pairing
                                  1. Procedure and Examples
                                2. Comparing Two Population Proportions
                                  1. Two-Sample Z-Test for Proportions
                                    1. Independent Samples
                                      1. Pooled Proportion Estimator
                                        1. Test Statistic and Distribution
                                          1. Assumptions and Conditions
                                          2. Fisher's Exact Test
                                            1. When to Use
                                              1. Exact P-value Calculation
                                                1. Small Sample Considerations
                                              2. Comparing Two Population Variances
                                                1. F-Test for Equal Variances
                                                  1. Assumptions and Conditions
                                                    1. Test Statistic and Distribution
                                                      1. Two-Tailed vs One-Tailed Tests
                                                        1. Sensitivity to Normality

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                                                    6. One-Sample Parametric Tests

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                                                    8. Categorical Data Analysis