Fundamentals of Quality Control and Improvement, 4th Edition

13Process Modeling Through Regression Analysis

1. 13-1 Introduction and chapter objectives
2. 13-2 Deterministic and probabilistic models
3. 13-3 Model assumptions
4. 13-4 Least squares method for parameter estimation
5. 13-5 Model validation and remedial measures
6. 13-6 Estimation and inferences from a regression model
7. 13-7 Qualitative independent variables
8. 13-8 Issues in multiple regression
9. 13-9 Logistic regression Summary
10. Summary

Symbols
X i Yβ i npR 2	Independent variableDependent variableParameters of regression modelRandom error componentPredicted valueEstimated model coefficientNumber of observationsNumber of independent variables + 1Coefficient of determination	e i DWSσ 2s 2h i D i	Adjusted coefficient of determinationResidualDurbin–Watson statisticWorking–Hotelling coefficientScheffé coefficientVariance of error componentEstimated variance of error componentLeverage coefficientCook's distance

13-1 Introduction and Chapter Objectives

It is often of interest to determine the nature of the impact of process variables on some output quality characteristic. Such analyses ...