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, Se

    • Calculate the Standard Deviation of the Effects, Seff

    • 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, Se

    • Calculate the Standard Deviation of the Effects, Seff

    • 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