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BS ISO 7870-4:2021 – TC:2022 Edition

BS ISO 7870-4:2021 – TC:2022 Edition

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Tracked Changes. Control charts – Cumulative sum charts

Published By Publication Date Number of Pages
BSI 2022 154
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PDF Catalog

PDF Pages PDF Title
1 30449954
95 A-30402393
96 National foreword
101 Foreword
102 Introduction
103 1 Scope
2 Normative references
3 Terms and definitions, abbreviated terms and symbols
3.1 Terms and definitions
104 3.2 Abbreviated terms
105 3.3 Symbols
106 4 Principal features of cumulative sum (CUSUM) charts
5 Basic steps in the construction of CUSUM charts — Graphical representation
107 6 Example of a CUSUM plot — Motor voltages
6.1 Process
6.2 Simple plot of results
108 6.3 Standard control chart for individual results
109 6.4 CUSUM chart construction
110 7 Fundamentals of making CUSUM-based decisions
7.1 Need for decision rules
7.2 Basis for making decisions
111 7.3 Measuring the effectiveness of a decision rule
7.3.1 Basic concepts
112 7.3.2 Example of calculation of ARL
8 Types of CUSUM decision schemes
8.1 V‑mask
8.1.1 Configuration and dimensions
113 8.1.2 Application of the V‑mask
116 8.1.3 Average run lengths
117 8.1.4 General comments on average run lengths
118 8.2 Fast-initial response (FIR) CUSUM
8.3 Tabular CUSUM
8.3.1 Rationale
119 8.3.2 Deployment
121 9 CUSUM methods for process and quality control
9.1 Nature of the changes to be detected
9.1.1 Size of the changes to be detected
9.1.2 ‘Step’ changes
9.1.3 Drifting
9.1.4 Cyclic
9.1.5 Hunting
9.2 Selecting target values
9.2.1 General
122 9.2.2 Standard (given) value as target
9.2.3 Performance‑based target
9.3 CUSUM schemes for monitoring location
9.3.1 Standard schemes
129 9.3.2 Standard schemes — Limitations
9.3.3 ‘Tailored’ CUSUM schemes
130 9.4 CUSUM schemes for monitoring variation
9.4.1 General
131 9.4.2 CUSUM schemes for subgroup ranges
135 9.4.3 CUSUM schemes for subgroup standard deviations
138 9.5 Special situations
9.5.1 Large between-subgroup variation
9.5.2 ‘One-at-a-time’ data
139 9.5.3 Serial dependence between observations
9.5.4 Outliers
140 9.6 CUSUM schemes for discrete data
9.6.1 Event count — Poisson data
142 9.6.2 Two classes data — Binomial data
146 Annex A (informative) Example of tabular CUSUM
150 Annex B (informative) Estimation of the change point when a step change occurs
152 Bibliography

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BS ISO 7870-4:2021 - TC
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