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BS ISO 7870-4:2021

BS ISO 7870-4:2021

$198.66

Control charts – Cumulative sum charts

Published By Publication Date Number of Pages
BSI 2021 60
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This document describes statistical procedures for setting up cumulative sum (CUSUM) schemes for process and quality control using variables (measured) and attribute data. It describes general‑purpose methods of decision-making using cumulative sum (CUSUM) techniques for monitoring, control and retrospective analysis.

PDF Catalog

PDF Pages PDF Title
2 National foreword
7 Foreword
8 Introduction
9 1 Scope
2 Normative references
3 Terms and definitions, abbreviated terms and symbols
3.1 Terms and definitions
10 3.2 Abbreviated terms
11 3.3 Symbols
12 4 Principal features of cumulative sum (CUSUM) charts
5 Basic steps in the construction of CUSUM charts — Graphical representation
13 6 Example of a CUSUM plot — Motor voltages
6.1 Process
6.2 Simple plot of results
14 6.3 Standard control chart for individual results
15 6.4 CUSUM chart construction
16 7 Fundamentals of making CUSUM-based decisions
7.1 Need for decision rules
7.2 Basis for making decisions
17 7.3 Measuring the effectiveness of a decision rule
7.3.1 Basic concepts
18 7.3.2 Example of calculation of ARL
8 Types of CUSUM decision schemes
8.1 V‑mask
8.1.1 Configuration and dimensions
19 8.1.2 Application of the V‑mask
22 8.1.3 Average run lengths
23 8.1.4 General comments on average run lengths
24 8.2 Fast-initial response (FIR) CUSUM
8.3 Tabular CUSUM
8.3.1 Rationale
25 8.3.2 Deployment
27 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
28 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
35 9.3.2 Standard schemes — Limitations
9.3.3 ‘Tailored’ CUSUM schemes
36 9.4 CUSUM schemes for monitoring variation
9.4.1 General
37 9.4.2 CUSUM schemes for subgroup ranges
41 9.4.3 CUSUM schemes for subgroup standard deviations
44 9.5 Special situations
9.5.1 Large between-subgroup variation
9.5.2 ‘One-at-a-time’ data
45 9.5.3 Serial dependence between observations
9.5.4 Outliers
46 9.6 CUSUM schemes for discrete data
9.6.1 Event count — Poisson data
48 9.6.2 Two classes data — Binomial data
52 Annex A (informative) Example of tabular CUSUM
56 Annex B (informative) Estimation of the change point when a step change occurs
58 Bibliography

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BS ISO 7870-4:2021
$198.66