5. Design and Analysis of Experiments

• 5.1. Design and analysis of experiments in context
• 5.2. Terminology
• 5.3. Usage examples
• 5.4. References and readings
• 5.5. Why learning about systems is important
  • 5.5.1. An engineering example
  • 5.5.2. Feedback control
  • 5.5.3. Another engineering example
• 5.6. Experiments with a single variable at two levels
  • 5.6.1. Recap of group-to-group differences
  • 5.6.2. Using linear least squares models
  • 5.6.3. The importance of randomization
• 5.7. Changing one single variable at a time (COST)
• 5.8. Full factorial designs
  • 5.8.1. Using two levels for two or more factors
  • 5.8.2. Analysis of a factorial design: main effects
  • 5.8.3. Analysis of a factorial design: interaction effects
  • 5.8.4. Analysis by least squares modelling
  • 5.8.5. Example: design and analysis of a three-factor experiment
  • 5.8.6. Assessing significance of main effects and interactions
  • 5.8.7. Summary so far
  • 5.8.8. Example: analysis of systems with 4 factors
• 5.9. Fractional factorial designs
  • 5.9.1. Half fractions
  • 5.9.2. Generators and defining relationships
  • 5.9.3. Generating the complementary half-fraction
  • 5.9.4. Generators: to determine confounding due to blocking
  • 5.9.5. Highly fractionated designs: beyond half-fractions
  • 5.9.6. Design resolution
  • 5.9.7. Saturated designs for screening
  • 5.9.8. Design foldover
  • 5.9.9. Projectivity
• 5.10. Blocking and confounding for disturbances
  • 5.10.1. Characterization of disturbances
  • 5.10.2. Blocking and confounding
• 5.11. Response surface methods
  • 5.11.1. Response surface optimization via a 2-variable system example
  • 5.11.2. The general approach for response surface modelling
• 5.12. Evolutionary operation
• 5.13. General approach for experimentation
• 5.14. Extended topics related to designed experiments
  • 5.14.1. Experiments with mistakes, missing values, or belatedly discovered constraints
  • 5.14.2. Handling of constraints
  • 5.14.3. Optimal designs
  • 5.14.4. Definitive screening designs
  • 5.14.5. Mixture designs
• 5.15. Exercises