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GB/T 17989.7-2022Statistical method of quality control in production process - Control charts - Part 7: Multivariate control charts (English PDF)

生产过程质量控制统计方法控制图第7部分：多元控制图

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Issued by

State Administration for Market Regulation, China National Standardization Administration

Level / Type

National · Recommended

Issue date

March 9, 2022

Implementation date

October 1, 2022

Scope

GB/T 17989.7-2022 is the English-translated version of 生产过程质量控制统计方法控制图第7部分：多元控制图.

GB/T 17989.7-2022 is the Chinese standard "Statistical method of quality control in production process - Control charts - Part 7: Multivariate control charts".

Its scope clause reads: This document describes guidelines for constructing and applying multivariate control charts for statistical process control, and establishes the use and understanding of measurement data General approach to meta-control charts.

This document applies to statistical process control of quantitative multivariate characteristics. The application of principal component analysis and partial least squares in multivariate statistical process control is not described in this document.

Note. This document gives the current status of practical application of multivariate control charts so far, and does not give the current status of scientific research in this field. Its clauses include terms and definitions; symbols and abbreviations.

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Document preview — GB/T 17989.7-2022

National Standard of the People's Republic of China

Classification: A 41

Issued by: State Administration for Market Regulation, China National Standardization Administration

Preface
Introduction
1 Scope
2 Normative references
3 Terms and Definitions
4 Symbols and Abbreviations
4.1 Symbol
4.2 Abbreviations
5 Application purpose and classification of multivariate control chart
5.1 Application purpose and applicable conditions of multivariate control chart
5.2 Classification of multivariate control charts
6 Multivariate control chart for monitoring mean shift (without weighting)
6.1 Overview
6.2 Control Charts for Monitoring Process Means (n > 1)
6.3 Control Charts for Monitoring Process Means (n=1)
6.4 Summary and selection of multivariate control chart monitoring mean shift without weighting
6.5 Monitoring for identifiable causes
7 Multivariate control chart for monitoring mean shift (with weighting)
8 Multivariate Control Chart for Monitoring Process Spread
9 Interpretation of runaway signals
Appendix A (Informative) Examples of Multivariate Statistical Process Control
Appendix B (Informative) Example of MEWMA Chart
Appendix C (Informative) Estimation of µ and sigma

1 Scope

This document describes guidelines for constructing and applying multivariate control charts for statistical process control, and establishes the use and understanding of measurement data

General approach to meta-control charts.

This document applies to statistical process control of quantitative multivariate characteristics.

The application of principal component analysis and partial least squares in multivariate statistical process control is not described in this document.

Note. This document gives the current status of practical application of multivariate control charts so far, and does not give the current status of scientific research in this field.

2 Normative references

The contents of the following documents constitute essential provisions of this document through normative references in the text. Among them, dated citations documents, only the version corresponding to that date applies to this document; for undated references, the latest edition (including all amendments) applies to this document

GB/T 3358.2 Statistical vocabulary and symbols - Part 2.Applied statistics (GB/T 3358.2-2009, ISO 3534-2.2006,

IDT)

3 Terms and Definitions

The terms and definitions defined in GB/T 3358.2 and the following apply to this document.

3.1

Multivariate, a feature set consisting of d variables that are independent or related to product quality.

Note 1.According to GB/T 17989.2, these variables are used to represent the quality characteristic Xi, where i=1,2,,d.

Note 2.The observed value of the multivariate characteristic can be expressed as the vector x=(x1,x2,,xd)T. Therefore, multivariate can be regarded as the feature vector of the product. multivariate

Values can be represented by points in a d-dimensional feature space.

Note 3.All univariates that make up the vector are measurable in the same product or object.

Note 4.If statistical methods are used to describe multivariate, then the vector is regarded as a d-dimensional random vector.

3.2 confidenceregion

The d-dimension region of the d-dimension multivariate characteristic defined by the given confidence level.

Note 1 to entry. Confidence regions are defined by lines, surfaces or hypersurfaces in d-dimensional space.

Note 2.The shape and size of the confidence region is specified by one or more parameters.

4 Symbols and Abbreviations

4.1 Symbols

The following symbols apply to this document.

GB/T 2829 | GB/T 6379.6 | GB/T 2828.2 | GB/T 17989.9 | GB/T 17989.8 | GB/T 17989.6 | […]

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This preview omits tables, figures, formulas and parts of the technical clauses. The complete document — 47 pages — is available in the English PDF.

Referenced standards

Normative references

ISO 3534

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