Experiment Design and Analysis Reference

Chapters and Topics...

Introduction

• Introduction

• Overview
• Stages of DOE

Statistical Background

• Statistical Background
• Population Mean, Sample Mean and Variance
• Central Limit Theorem
• Unbiased and Biased Estimators
• Degrees of Freedom
• Standard Normal Distribution
• Chi-Squared Distribution
• Student's t Distribution
• F Distribution
• Hypothesis Testing
• Statistical Inference for a Single Sample
• Statistical Inference for Two Samples

• Simple Linear Regression Analysis
• Hypothesis Tests in Simple Linear Regression
• Confidence Intervals in Simple Linear Regression
• Measures of Model Adequacy, Simple Linear Regression
• Transformations

Multiple Linear Regression Analysis

• Multiple Linear Regression Analysis
• Estimating Regression Models Using Least Squares
• Hypothesis Tests in Multiple Linear Regression
• Tests on Subsets of Regression Coefficients (Partial F Test)
• Confidence Intervals in Multiple Linear Regression
• Measures of Model Accuracy, Multiple Linear Regression
• Other Topics in Multiple Linear Regression

• Analysis of Experiments
• Confidence Interval in the ith Treatment Mean
• Residual Analysis
• Box-Cox Method
• Experiments with Several Factors - Factorial Experiments
• Analysis of General Factorial Experiments
• Factorial Experiments with a Single Replicate
• Blocking
• Use of Regression to Calculate Sum of Squares

Two Level Factorial Experiments

• Two Level Factorial Experiments
• Analysis of 2k Designs
• Replicated and Repeated Runs
• Blocking in 2k Designs
• Variability Analysis
• Two Level Fractional Factorial Designs
• Projection
• Resolution III Designs
• Alias Matrix

• Plackett-Burman Designs
• Taguchi's Orthogonal Arrays

Response Surface Methods

• Response Surface Methods
• RSM Designs
• Analysis of the Second Order Model
• Multiple Responses

• Taguchi's Robust Parameter Design Method
• Signal to Noise Ratios
• Limitations of Taguchi's Approach

Reliability DOE

• Reliability DOE
• Fisher Matrix Bounds on Parameters
• R-DOE Analysis of Data Following the Weibull Distribution
• R-DOE Analysis of Data Following the Exponential Distribution
• Model Diagnostics
• Additional R-DOE Analyses on Single Factor Experiments

• Appendix A - ANOVA Calculations in Multiple Linear Regression
• Appendix B - Plackett-Burman Designs
• Appendix C - Taguchi's Orthogonal Arrays
• Appendix D - Alias Relations for Taguchi's Orthogonal Arrays
• Appendix E - Box-Behnken Designs
• Appendix F - References
• Appendix G - Glossary