An Introduction to Design of Experiments (Barrentine)

Table of Contents

Chapter 1 Introduction

Chapter 2 Experiments with Two Factors

• Example 1: Bond Strength

• The Eight Steps for Analysis of Effects

• The Analytical Procedure

  • Calculate Effects

  • Make a Pareto Chart of Effects

  • Calculate the Standard Deviation of the Experiment, S_e

  • Calculate the Standard Deviation of the Effects, S_eff

  • Determine the t-Statistic

  • Calculate the Decision Limits and Determine the Effects

  • Graph Significant Effects

  • Model the Significant Effects

• Review of the Experimental Procedure

• Example 2: Water Absorption in Paper Stock

  • Calculate Effects

  • Make a Pareto Chart of Effects

  • Calculate the Standard Deviation of the Experiment, S_e

  • Calculate the Standard Deviation of the Effects, S_eff

  • Determine the t-Statistic

  • Calculate the Decision Limits and Determine the Effects

  • Graph Significant Effects

  • Model the Significant Effects

• A Different Analytical Technique: The Spreadsheet Approach

• Exercise 1: Coal-Processing Yield

• Nonlinear Models

• Exercise 2: Corrosion Study

Chapter 3 Experiments with Three Factors 2³

• Example 3: Chemical-Processing Yield

• Variation Analysis

• Exercise 3: Ink Transfer

• Analysis with Unreplicated Experiments

Chapter 4 Screening Designs

• Example 4: An Eight-Run Plackett-Burman Design with Seven Factors

• Reflection

• Other Analytical Considerations

• Exercise 4: Nail Pull Study

• Twelve-Run Plackett-Burman

• Example 5: Moldability Analysis

• Exercise 5: The Lawn Fanatics

• Even Larger Designs

• Other Types of Designs

Chapter 5 Problems, Questions, and Review

• Problems and Questions

• Review of the Basics in Managing a DOE

• What Inhibits Application of DOE?

• Software

• Appendix

• Conclusion

• References

Appendix

Table A.1: Table of t-Values for alpha = 0.05 (95% confidence)

Table A.2: F-Table for alpha = 0.10

Exercise 1: Coal-Processing Yield

Exercise 2: Corrosion Study

Exercise 3: Ink Transfer

Exercise 4: Nail Pull Study

Exercise 5: The Lawn Fanatics

Tables A.11 and A.12: Analysis Tables for 2³ Factorial

Table A.13: Design Matrix for 1/2 Fractional Factorial for Four Factors

Table A.14: Analysis Table for 1/2 Fractional Factorial for Four Factors

Table A.15: Design Matrix for 1/4 Fractional Factorial for Five Factors

Table A.16: Analysis Table for 1/4 Fractional Factorial for Five Factors

Table A.17: Design Table for 1/2 Fractional Factorial for Five Factors

Table A.18: Analysis Table for 1/2 Fractional Factorial for Five Factors

Table A.19: Confounding Pattern for Eight-Run Plackett-Burman Design

Table A.20: Confounding Pattern for 16-Run Plackett-Burman Design

Table A.21: Analysis Table for Eight-Run Plackett-Burman Design

Table A.22: Analysis Table for Reflection of Eight-Run Plackett-Burman Design

Table A.23: Analysis Table for Eight-Run Plackett-Burman Design with Reflection

Tables A.24 and A.25: Analysis Tables for 12-Run Plackett-Burman Design

Table A.26: Analysis Table for 12-Run Plackett-Burman Design with Reflection

Table A.27: Analysis Table for 16-Run Plackett-Burman Design

Table A.28: Analysis Table for 16-Run Plackett-Burman Design with Reflection

Table A.29: Design Matrix for 20-Run Plackett-Burman