Biostatistics

  1. Advanced Statistical Methods
    1. Longitudinal Data Analysis
      1. Repeated Measures Design
        1. Data Structure and Notation
          1. Missing Data Patterns
            1. Correlation Structures
            2. Mixed-Effects Models
              1. Fixed vs Random Effects
                1. Random Intercepts and Slopes
                  1. Covariance Structures
                  2. Generalized Estimating Equations (GEE)
                    1. Population-Averaged Models
                      1. Working Correlation Structures
                        1. Robust Standard Errors
                        2. Growth Curve Analysis
                          1. Linear and Non-Linear Growth
                            1. Individual vs Population Trajectories
                          2. Meta-Analysis
                            1. Systematic Review Process
                              1. Literature Search Strategy
                                1. Study Selection Criteria
                                  1. Data Extraction
                                    1. Quality Assessment
                                    2. Effect Size Measures
                                      1. Standardized Mean Difference
                                        1. Odds Ratio and Risk Ratio
                                          1. Correlation Coefficients
                                          2. Fixed-Effects Models
                                            1. Assumptions and Methods
                                              1. Inverse Variance Weighting
                                              2. Random-Effects Models
                                                1. Between-Study Heterogeneity
                                                  1. DerSimonian-Laird Method
                                                  2. Heterogeneity Assessment
                                                    1. Cochran's Q Test
                                                      1. I² Statistic
                                                        1. Tau-Squared
                                                        2. Publication Bias
                                                          1. Funnel Plots
                                                            1. Egger's Test
                                                              1. Trim-and-Fill Method
                                                              2. Forest Plots
                                                                1. Construction and Interpretation
                                                                  1. Confidence Intervals
                                                                    1. Summary Estimates
                                                                  2. Bayesian Statistics
                                                                    1. Bayesian Paradigm
                                                                      1. Prior, Likelihood, and Posterior
                                                                        1. Bayes' Theorem Application
                                                                          1. Subjective vs Objective Priors
                                                                          2. Prior Distribution Selection
                                                                            1. Informative Priors
                                                                              1. Non-Informative Priors
                                                                                1. Conjugate Priors
                                                                                2. Posterior Inference
                                                                                  1. Credible Intervals
                                                                                    1. Posterior Probabilities
                                                                                      1. Bayesian Hypothesis Testing
                                                                                      2. Computational Methods
                                                                                        1. Markov Chain Monte Carlo (MCMC)
                                                                                          1. Gibbs Sampling
                                                                                            1. Metropolis-Hastings Algorithm
                                                                                            2. Model Comparison
                                                                                              1. Bayes Factors
                                                                                                1. Deviance Information Criterion (DIC)
                                                                                                  1. Posterior Predictive Checks
                                                                                                2. High-Dimensional Data Analysis
                                                                                                  1. Multiple Testing Problem
                                                                                                    1. Family-Wise Error Rate
                                                                                                      1. False Discovery Rate
                                                                                                        1. Bonferroni Correction
                                                                                                          1. Benjamini-Hochberg Procedure
                                                                                                          2. Dimension Reduction
                                                                                                            1. Principal Component Analysis
                                                                                                              1. Factor Analysis
                                                                                                                1. Partial Least Squares
                                                                                                                2. Regularization Methods
                                                                                                                  1. Ridge Regression
                                                                                                                    1. LASSO Regression
                                                                                                                      1. Elastic Net
                                                                                                                      2. Classification Methods
                                                                                                                        1. Linear and Quadratic Discriminant Analysis
                                                                                                                          1. Support Vector Machines
                                                                                                                            1. Random Forests
                                                                                                                            2. Cross-Validation
                                                                                                                              1. K-Fold Cross-Validation
                                                                                                                                1. Leave-One-Out Cross-Validation
                                                                                                                                  1. Bootstrap Validation