ISO 7870-7:2020
Control charts — Part 7: Multivariate control charts
This document describes the construction and use of multivariate control charts in statistical process control (SPC) and establishes methods for using and understanding this generalized approach to control charts where the characteristics being measured are from variables data.
The use of principal component analysis (PCA) and partial least squares (PLS) in the field of multivariate statistical process control is not presented in this document
NOTE The document describes the current state of the art of multivariate control charts that are being applied in practice nowadays. It does not describe the current state of scientific research on the topic.
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Foreword
Introduction
1 Scope
2 Normative references
3 Terms and definitions
4 Abbreviated terms and symbols
4.1 Abbreviated terms
4.2 Symbols
5 Purpose and classification of multivariate control charts
5.1 Purpose and applying conditions for multivariate control charts
5.2 Classification of multivariate control charts
6 Multivariate control charts with unweighted averages for mean shift
6.1 General
6.2 Control charts for the process mean (n>1)
6.2.1 χ2 control chart when pre-specified parameter values are known
6.2.2 T2 control chart when pre-specified parameter values are unknown
6.3 Control charts for the process mean (n=1)
6.3.1 χ2 control chart when pre-specified parameter values are known
6.3.2 T2 control chart when pre-specified parameter values are unknown
6.4 Summary and selection of multivariate control charts with unweighted averages for mean shifts
6.5 Test for assignable causes
7 Multivariate control charts with weighted averages for mean shifts
8 Control charts for the process dispersion
9 Interpretation of an out-of-control signal
Annex A (informative) Example of multivariate statistical process control
Annex B (informative) Example of MEWMA control chart
Annex C (informative) Estimation of μ and Σ
Bibliography
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Foreword
Introduction
1 Scope
2 Normative references
3 Terms and definitions
4 Abbreviated terms and symbols
4.1 Abbreviated terms
4.2 Symbols
5 Purpose and classification of multivariate control charts
5.1 Purpose and applying conditions for multivariate control charts
5.2 Classification of multivariate control charts
6 Multivariate control charts with unweighted averages for mean shift
6.1 General
6.2 Control charts for the process mean (n>1)
6.2.1 χ2 control chart when pre-specified parameter values are known
6.2.2 T2 control chart when pre-specified parameter values are unknown
6.3 Control charts for the process mean (n=1)
6.3.1 χ2 control chart when pre-specified parameter values are known
6.3.2 T2 control chart when pre-specified parameter values are unknown
6.4 Summary and selection of multivariate control charts with unweighted averages for mean shifts
6.5 Test for assignable causes
7 Multivariate control charts with weighted averages for mean shifts
8 Control charts for the process dispersion
9 Interpretation of an out-of-control signal
Annex A (informative) Example of multivariate statistical process control
Annex B (informative) Example of MEWMA control chart
Annex C (informative) Estimation of μ and Σ
Bibliography