Design of Experiments

  1. Factorial Designs
    1. Introduction to Factorial Experiments
      1. Factorial Principle
        1. Complete vs. Fractional Factorials
          1. Advantages of Factorial Designs
            1. Notation Systems
              1. Standard Notation
                1. Yates Notation
                  1. Coded Variables
                2. Two-Level Factorial Designs
                  1. 2^k Design Structure
                    1. Design Matrix Construction
                      1. Effect Calculation Methods
                        1. Contrast Method
                          1. Yates Algorithm
                            1. Regression Approach
                            2. Statistical Analysis
                              1. ANOVA for 2^k Designs
                                1. Significance Testing
                                  1. Confidence Intervals
                                  2. Unreplicated 2^k Designs
                                    1. Normal Probability Plots
                                      1. Lenth's Method
                                        1. Half-Normal Plots
                                        2. Model Building and Selection
                                          1. Residual Analysis
                                          2. Blocking in Factorial Designs
                                            1. Single Replicate in Blocks
                                              1. Confounding with Blocks
                                                1. Complete Confounding
                                                  1. Partial Confounding
                                                  2. Multiple Blocking Factors
                                                    1. Analysis of Blocked Factorials
                                                    2. Three-Level and Mixed-Level Factorials
                                                      1. 3^k Designs
                                                        1. Mixed-Level Designs
                                                          1. Orthogonal Polynomials
                                                            1. Analysis Considerations

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                                                          5. Analysis of Variance (ANOVA)

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                                                          7. Fractional Factorial Designs