Statistical Analysis of Profile Monitoring

This groundbreaking reviews the latest research on the use of control charts to monitor process and product quality profiles. . It is written by experts in the field of statistical process control (such as J. D. Williams of General Electric Global Research, Jeffrey B. Birch at VPI, and Longcheen Huwang of the Institute of Statistics at Tsing Hua University Hsin Chu). The book presents a comprehensive coverage of profiles monitoring definitions, techniques, models, and application examples, especially in various fields of engineering and statistics. It covers state-of-the-art materials and deserves a place among the tools of every quality engineer who works in monitoring and improving statistical processes.

Rassoul Noorossana is Professor of Industrial Engineering at Iran University of Science and Technology. A Certified Six Sigma Black Belt, he has published extensively in the areas of statistical quality control, engineering statistics, total quality management, and Six Sigma. Abbasis Saghaei is Associate Professor of Industrial Engineering at Islamic Azad University, Iran. He currently focuses his research in the areas of statistical process control, design of experiments, and Six Sigma. Amirhossein Amiri is Assistant Professor of Industrial Engineering at Shahed University, Iran. He has authored numerous papers in the areas of statistical process control and improvement, quality management and productivity, and design of experiments.

Preface	p. ix
Contributors	p. xi
Introduction to Profile Monitoring	p. 1
Introduction	p. 1
Functional Relationships Qualified as Profiles	p. 6
Functional Relationships not Qualified as Profiles	p. 13
Structure of This Book	p. 15
References	p. 19
Simple Linear Profiles	p. 21
Introduction	p. 21
Phase I Simple Linear Profile	p. 22
Phase II Simple Linear Profile	p. 53
Special Cases and an Important Application	p. 74
Diagnostic Statistics	p. 77
Violation of the Model Assumptions	p. 81
Appendix	p. 83
References	p. 89
Multiple Linear and Polynomial Profiles	p. 93
Introduction	p. 93
Monitoring Multiple Linear Profiles	p. 94
Monitoring Polynomial Profiles	p. 108
References	p. 116
Binary Response Profiles	p. 117
Introduction	p. 117
Model Setting and Parameter Estimation	p. 118
Phase I Control	p. 120
Phase II Monitoring	p. 122
Applications	p. 123
Conclusions	p. 126
References	p. 128
Parametric Nonlinear Profiles	p. 129
Introduction	p. 129
Nonlinear Model Estimation	p. 130
Phase I Methods	p. 132
Phase II Methods	p. 142
Variance Profiles	p. 145
Appendix	p. 154
References	p. 155
Nonparametric Nonlinear Profiles	p. 157
Introduction	p. 157
Model Formulation and Nonparametric Example	p. 159
Splines	p. 162
Component Analysis	p. 170
Wavelets	p. 174
References	p. 187
Multivariate Linear Profiles Monitoring	p. 189
Introduction	p. 189
Monitoring Multivariate Simple Linear Profiles	p. 190
Monitoring Multivariate Multiple Linear Profiles	p. 204
References	p. 216
Statistical Process Control for Geometric Specifications	p. 217
Introduction	p. 217
Examples of Geometric Feature Concerning Circularity	p. 221
Control Charts for Profile Monitoring	p. 224
Simple Approaches for Monitoring Manufactured Profiles: The Industrial Practice	p. 233
Performance Comparison	p. 237
Moving from 2D Profiles to 3D Surfaces	p. 245
Concluding Remarks	p. 249
Acknowledgments	p. 250
References	p. 250
Correlation and Autocorrelation in Profiles	p. 253
Introduction	p. 253
Methods for WPA for Linear Models	p. 255
Methods for BPC for Linear Models	p. 257
Methods for WPA and BPC for Other (Nonlinear) Models	p. 258
Phase I Analysis	p. 259
Phase II Analysis	p. 262
Related Issues: Rational Subgrouping and Random Effects	p. 263
Discussion and Open Questions	p. 266
Acknowledgment	p. 267
References	p. 267
Nonparametric Profile Monitoring	p. 269
Introduction	p. 269
Monitoring Profiles Based on Nonparametric Regression	p. 270
Nonparametric Profile Monitoring Using Change-Point Formulation and Adaptive Smoothing	p. 281
Nonparametric Profile Monitoring by Mixed-Effects Modeling	p. 288
Approximate the Distributions of Quadratic Forms Like zTAz	p. 299
The Expression of lr_t,k in Model (10.8)	p. 300
References	p. 301
Index	p. 303
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Statistical Analysis of Profile Monitoring

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