Biostatistics

  1. Categorical Data Analysis
    1. Chi-Square Tests
      1. Goodness-of-Fit Test
        1. Testing Distributional Assumptions
          1. Expected vs Observed Frequencies
            1. Degrees of Freedom
            2. Test of Independence
              1. Contingency Tables
                1. Expected Cell Frequencies
                  1. Interpretation of Results
                  2. Test of Homogeneity
                    1. Comparing Proportions Across Groups
                      1. Distinction from Independence
                      2. Assumptions and Limitations
                        1. Minimum Expected Frequencies
                          1. Large Sample Requirements
                        2. Measures of Association
                          1. For 2×2 Tables
                            1. Odds Ratio
                              1. Calculation and Interpretation
                                1. Confidence Intervals
                                2. Relative Risk
                                  1. Calculation and Interpretation
                                    1. Comparison to Odds Ratio
                                    2. Risk Difference
                                      1. Calculation and Interpretation
                                        1. Number Needed to Treat
                                      2. For Larger Tables
                                        1. Cramér's V
                                          1. Contingency Coefficient
                                            1. Lambda
                                          2. Exact Tests
                                            1. Fisher's Exact Test
                                              1. When to Use
                                                1. Calculation Principles
                                                  1. One-Sided vs Two-Sided
                                                  2. McNemar's Test
                                                    1. Paired Binary Data
                                                      1. Applications in Matched Studies
                                                    2. Logistic Regression
                                                      1. Binary Logistic Regression
                                                        1. Logit Transformation
                                                          1. Maximum Likelihood Estimation
                                                            1. Odds Ratio Interpretation
                                                            2. Model Assessment
                                                              1. Likelihood Ratio Test
                                                                1. Wald Test
                                                                  1. Goodness-of-Fit Tests
                                                                    1. Hosmer-Lemeshow Test
                                                                      1. Deviance and Pearson Chi-Square
                                                                    2. Model Diagnostics
                                                                      1. Residual Analysis
                                                                        1. Influence Diagnostics
                                                                          1. ROC Curve Analysis
                                                                          2. Multiple Logistic Regression
                                                                            1. Multiple Predictors
                                                                              1. Variable Selection
                                                                                1. Interaction Terms
                                                                              2. Multinomial and Ordinal Regression
                                                                                1. Multinomial Logistic Regression
                                                                                  1. Multiple Categories
                                                                                    1. Reference Category Selection
                                                                                      1. Interpretation of Coefficients
                                                                                      2. Ordinal Logistic Regression
                                                                                        1. Proportional Odds Model
                                                                                          1. Assumptions and Testing
                                                                                            1. Interpretation Guidelines