Design of Experiments

  1. Statistical Analysis and Model Building
    1. Data Preparation and Exploration
      1. Data Cleaning Procedures
        1. Missing Data Handling
          1. Outlier Detection and Treatment
            1. Exploratory Data Analysis
              1. Graphical Methods
              2. Model Specification and Fitting
                1. Linear Models
                  1. Generalized Linear Models
                    1. Nonlinear Models
                      1. Parameter Estimation Methods
                        1. Maximum Likelihood Estimation
                        2. Model Selection and Validation
                          1. Model Selection Criteria
                            1. AIC and BIC
                              1. Cross-Validation
                                1. Prediction Error
                                2. Variable Selection Methods
                                  1. Forward Selection
                                    1. Backward Elimination
                                      1. Stepwise Selection
                                      2. Model Validation Techniques
                                        1. Overfitting Prevention
                                        2. Assumption Checking and Diagnostics
                                          1. Residual Analysis
                                            1. Influence Diagnostics
                                              1. Leverage and Cook's Distance
                                                1. Normality Assessment
                                                  1. Homoscedasticity Testing
                                                    1. Independence Verification
                                                    2. Interpretation and Communication
                                                      1. Effect Size Interpretation
                                                        1. Practical vs. Statistical Significance
                                                          1. Confidence Intervals
                                                            1. Prediction Intervals
                                                              1. Graphical Presentation
                                                                1. Report Writing

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                                                              10. Advanced and Specialized Designs

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                                                              12. Software Tools and Implementation