Statistical Analysis of Profile Monitoring

RASSOUL NOOROSSANA, PhD, 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. ABBAS SAGHAEI, PhD, 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, PhD, 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 ix Contributors xi1 Introduction to Profile Monitoring 1Introduction, 11.1 Functional Relationships Qualified as Profiles, 61.2 Functional Relationships not Qualified as Profiles, 131.3 Structure of This Book, 15References, 192 Simple Linear Profiles 21Introduction, 212.1 Phase I Simple Linear Profile, 222.2 Phase II Simple Linear Profile, 532.3 Special Cases and an Important Application, 742.4 Diagnostic Statistics, 772.5 Violation of the Model Assumptions, 81Appendix, 83References, 893 Multiple Linear and Polynomial Profiles 93Introduction, 933.1 Monitoring Multiple Linear Profiles, 943.2 Monitoring Polynomial Profiles, 108References, 1164 Binary Response Profiles 117Introduction, 1174.1 Model Setting and Parameter Estimation, 1184.2 Phase I Control, 1204.3 Phase II Monitoring, 1224.4 Applications, 1234.5 Conclusions, 126References, 1285 Parametric Nonlinear Profiles 129Introduction, 1295.1 Nonlinear Model Estimation, 1305.2 Phase I Methods, 1325.3 Phase II Methods, 1425.4 Variance Profiles, 145Appendix, 154References, 1556 Nonparametric Nonlinear Profiles 157Introduction, 1576.1 Model Formulation and Nonparametric Example, 1596.2 Splines, 1626.3 Component Analysis, 1706.4 Wavelets, 174References, 1877 Multivariate Linear Profiles Monitoring 189Introduction, 1897.1 Monitoring Multivariate Simple Linear Profiles, 1907.2 Monitoring Multivariate Multiple Linear Profiles, 204References, 2168 Statistical Process Control for Geometric Specifications 217Introduction, 2178.1 Examples of Geometric Feature Concerning Circularity, 2218.2 Control Charts for Profile Monitoring, 2248.3 Simple Approaches for Monitoring Manufactured Profiles: The Industrial Practice, 2338.4 Performance Comparison, 2378.5 Moving from 2D Profiles to 3D Surfaces, 2458.6 Concluding Remarks, 249Acknowledgments, 250References, 2509 Correlation and Autocorrelation in Profiles 253Introduction, 2539.1 Methods for WPA for Linear Models, 2559.2 Methods for BPC for Linear Models, 2579.3 Methods for WPA and BPC for Other (Nonlinear) Models, 2589.4 Phase I Analysis, 2599.5 Phase II Analysis, 2629.6 Related Issues: Rational Subgrouping and Random Effects, 2639.7 Discussion and Open Questions, 266Acknowledgment, 267References, 26710 Nonparametric Profile Monitoring 269Introduction, 26910.1 Monitoring Profiles Based on Nonparametric Regression, 27010.2 Nonparametric Profile Monitoring Using Change-Point Formulation and Adaptive Smoothing, 28110.3 Nonparametric Profile Monitoring by Mixed-Effects Modeling, 288Appendix A: Approximate the Distributions of Quadratic Forms Like zT Az, 299Appendix B: The Expression of lrt,k in Model (10.8), 300References, 301Index 303