Cluster-Based Profile Analysis in Phase I

Summary

This study demonstrates that, when the out-of-control process corresponds to a sustained shift, the cluster-based method using the successive difference estimator is clearly the superior method, among those methods considered, based on all performance criteria.

Keywords

Outlier, Cluster (spacecraft), Statistics, Multivariate statistics, Data mining

References

Monitoring Correlation Within Linear Profiles Using Mixed ModelsWillis A. Jensen, Jeffrey B. Birch, William H. Woodall — 2008
Profile Monitoring via Nonlinear Mixed ModelsWillis A. Jensen, Jeffrey B. Birch — 2009
Robust Estimation in Multivariate Control Charts for Individual ObservationsN José Alberto Vargas — 2003
A Comparison of Multivariate Control Charts for Individual ObservationsJoe H. Sullivan, William H. Woodall — 1996
Mixed Models: Theory and Applications (Wiley Series in Probability and Statistics)Eugene Demidenko — 2004
An Overview of Phase I Analysis for Process Improvement and MonitoringL. Allison Jones‐Farmer, William H. Woodall, Stefan H. Steiner — 2014
Nonparametric Profile Monitoring by Mixed Effects ModelingPeihua Qiu, Changliang Zou, Zhaojun Wang — 2010
Statistical Analysis of Profile MonitoringRassoul Noorossana, Abbas Saghaei, Amirhossein Amiri — 2011
On the Monitoring of Linear ProfilesKeunpyo Kim, Mahmoud A. Mahmoud, William H. Woodall — 2003
Phase I Analysis for Monitoring Nonlinear Profiles in Manufacturing ProcessesYu Ding, Li Zeng, Shiyu Zhou — 2006
A Multistep, Cluster-Based Multivariate Chart for Retrospective Monitoring of IndividualsJ. Marcus Jobe, Michael Pokojovy — 2009
Comparing Curves Using Additive ModelsEsteban Walker, S. Paul Wright — 2002
A Semiparametric Mixed Model Approach to Phase I Profile MonitoringAbdel‐Salam G. Abdel‐Salam, Jeffrey B. Birch, Willis A. Jensen — 2013
Using Control Charts to Monitor Process and Product Quality ProfilesWilliam H. Woodall, Dan J. Spitzner, Douglas C. Montgomery — 2004
A Multivariate Robust Control Chart for Individual ObservationsShojaeddin Chenouri, Stefan H. Steiner, Asokan Mulayath Variyath — 2009
Contemporary Statistical Models for the Plant and Soil SciencesSchabenberger, Oliver, Pierce, Francis J. — 2001
Cluster‐Based Bounded Influence RegressionDavid E. Lawrence, Jeffrey B. Birch, Yajuan Chen — 2014
A Phase I Cluster‐Based Method for Analyzing Nonparametric ProfilesYajuan Chen, Jeffrey B. Birch, William H. Woodall — 2015
Statistical monitoring of heteroscedastic dose-response profiles from high-throughput screeningJames D. Williams, Jeffrey B. Birch, William H. Woodall — 2007
A new strategy for Phase I analysis in SPCJyh‐Jen Horng Shiau, Jian‐Huang Sun — 2009

Cited by

Statistical Learning Methods Applied to Process Monitoring: An Overview and PerspectiveMaria L. Weese, Waldyn G. Martinez, Fadel M. Megahed — 2016
Phase I Monitoring of Spatial Surface Data from 3D PrintingYangyang Zang, Peihua Qiu — 2018
Identifying nonlinear variation patterns with deep autoencodersPhillip Howard, Daniel W. Apley, George C. Runger — 2018
An overview on recent profile monitoring papers (2008-2018) based on conceptual classification schemeMohammad Reza Maleki, Amirhossein Amiri, Philippe Castagliola — 2018
Addressing the effect of parameter estimation on phase II monitoring of multivariate multiple linear profiles via a new cluster-based approachAhmad Ahmadi Yazdi, Ali Zeinal Hamadani, Amirhossein Amiri — 2020
Phase I and phase II analysis of linear profile monitoring using robust estimatorsHamid Reza Moheghi, Rassoul Noorossana, Orod Ahmadi — 2020
An effective strategy for the analysis of response profilesRonald D. Snee — 2020
A new distribution-free Phase-I procedure for bi-aspect monitoring based on the multi-sample Cucconi statisticChenglong Li, Amitava Mukherjee, Marco Marozzi — 2020
Phase I monitoring of serially correlated nonparametric profiles by mixed‐effects modelingQin Zhou, Peihua Qiu — 2021
Monitoring logistic profiles in phase I using robust cluster‐based methodDavood Saremian, Rassoul Noorossana, Sadigh Raissi — 2022
A control chart for monitoring images using jump location curvesAnik Roy, Partha S. Mukherjee — 2023
An integrated change point detection and online monitoring approach for the ratio of two variables using clustering-based control chartsAdel Ahmadi Nadi, Ali Yeganeh, Sandile Charles Shongwe — 2025
PH1XBAR: An R package for univariate Phase I Shewhart-type control charts for the meanYuhui Yao, Chase Holcombe, Tyler Thomas — 2026

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