Multivariate Analysis

  1. Logistic Regression
    1. Generalized Linear Models Framework
      1. Exponential Family Distributions
        1. Linear Predictor
        2. Logistic Function
          1. Sigmoid Curve Properties
            1. Mathematical Formulation
              1. Probability Interpretation
              2. Logit Transformation
                1. Log-Odds Concept
                  1. Linear Relationship
                    1. Inverse Logit Function
                    2. Binary Logistic Regression
                      1. Model Specification
                        1. Assumptions
                          1. Parameter Interpretation
                            1. Log-Odds Interpretation
                              1. Odds Ratio Interpretation
                            2. Maximum Likelihood Estimation
                              1. Likelihood Function
                                1. Log-Likelihood Function
                                  1. Iterative Algorithms
                                    1. Newton-Raphson Method
                                      1. Fisher Scoring
                                    2. Model Assessment
                                      1. Likelihood Ratio Test
                                        1. Wald Test
                                          1. Score Test
                                            1. Deviance
                                              1. Pseudo R-Squared Measures
                                                1. Cox and Snell R-squared
                                                  1. Nagelkerke R-squared
                                                    1. McFadden R-squared
                                                  2. Goodness-of-Fit Testing
                                                    1. Hosmer-Lemeshow Test
                                                      1. Pearson Chi-Square Test
                                                        1. Deviance Test
                                                          1. Residual Analysis
                                                          2. Classification and Prediction
                                                            1. Predicted Probabilities
                                                              1. Classification Tables
                                                                1. ROC Curves
                                                                  1. Area Under Curve (AUC)
                                                                    1. Sensitivity and Specificity
                                                                    2. Multinomial Logistic Regression
                                                                      1. Model Formulation
                                                                        1. Reference Category
                                                                          1. Parameter Interpretation
                                                                            1. Model Assessment
                                                                            2. Ordinal Logistic Regression
                                                                              1. Proportional Odds Model
                                                                                1. Cumulative Logits
                                                                                  1. Parallel Lines Assumption
                                                                                    1. Model Interpretation

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                                                                                  9. Discriminant Analysis

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                                                                                  11. Cluster Analysis