Control charts — Part 5: Specialized control charts

ISO 7870-5:2014 establishes a guide to the use and understanding of specialized control charts in situations where commonly used Shewhart control chart approach to the methods of statistical control of a process may either be not applicable or less efficient in detecting unnatural patterns of variation of the process.

Cartes de contrôle — Partie 5: Cartes de contrôle particulières

General Information

Status
Published
Publication Date
15-Jan-2014
Current Stage
Ref Project

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ISO 7870-5:2014 - Control charts
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INTERNATIONAL ISO
STANDARD 7870-5
First edition
2014-01-15
Control charts —
Part 5:
Specialized control charts
Cartes de contrôle —
Partie 5: Cartes de contrôle particulières
Reference number
©
ISO 2014
© ISO 2014
All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized otherwise in any form
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Published in Switzerland
ii © ISO 2014 – All rights reserved

Contents Page
Foreword .iv
Introduction .v
1 Scope . 1
2 Normative references . 1
3 Terms and definitions . 1
4 Symbols and abbreviated terms . 4
4.1 Symbols . 4
4.2 Abbreviated terms . 5
5 Specialized control charts . 5
6 Moving average and moving range control charts . 5
6.1 Control limits . 6
6.2 Interpretation . 6
6.3 Advantages . 6
6.4 Limitations . 6
6.5 Example . 6
7 z- chart. 9
7.1 Control limits . 9
7.2 Advantages .10
7.3 Limitations .10
7.4 Example .10
8 Group control chart .10
8.1 Control limits .12
8.2 Advantages .12
8.3 Limitations .13
8.4 Example .13
9 High-low control chart .16
9.1 Control limits .16
9.2 Interpretation .17
9.3 Advantages .17
9.4 Limitations .17
9.5 Example .17
10 Trend control chart .19
10.1 Control limits .20
10.2 Advantages .20
10.3 Limitations .21
10.4 Example .21
11 Control chart for coefficient of variation .24
11.1 Control limits .24
11.2 Advantage .24
11.3 Limitation .24
11.4 Example .25
12 Control chart for non-normal data .26
12.1 Control limits .27
12.2 Example .28
13 Standardized p- chart .32
13.1 Control limits .34
13.2 Advantages and limitations .34
13.3 Example .34
Foreword
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electrotechnical standardization.
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described in the ISO/IEC Directives, Part 1. In particular the different approval criteria needed for the
different types of ISO documents should be noted. This document was drafted in accordance with the
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assessment, as well as information about ISO’s adherence to the WTO principles in the Technical Barriers
to Trade (TBT) see the following URL: Foreword - Supplementary information
The committee responsible for this document is ISO/TC 69, Applications of statistical methods,
Subcommittee SC 4, Applications of statistical methods in process management.
ISO 7870 consists of the following parts, under the general title Control charts:
— Part 1: General guidelines
— Part 2: Shewhart control charts
— Part 3: Acceptance control charts
— Part 4: Cumulative sum control charts
— Part 5: Specialized control charts
— Part 6: EWMA control charts
iv © ISO 2014 – All rights reserved

Introduction
The Shewhart control charts as given in ISO 7870-2 aid in detection of unnatural patterns of variations
in data from repetitive processes and provide criteria for detecting a lack of statistical control.
However, there may be several special situations for variables data where Shewhart control charts
may be inadequate, insufficient or less efficient in detecting the unnatural patterns of variation of the
process, particularly where:
a) it takes considerable time to produce an item and as such sample results are available at large
intervals;
b) there are several subgroup sources that have approximately the same production rate, process
average and process capability;
c) process average is changing systematically;
d) sample size is large and sequence of production is irrelevant;
e) process does not have a constant target value.
In such situations, specialized control charts are to be used.
Similarly, special situations may be encountered in dealing with attributes data. There may be situations
when criticality of an incidence in a subgroup (nonconformity) is a matter of concern, but different
nonconformities are having different criticality. As such, all types of nonconformities cannot be treated
alike. Depending upon criticality, different ratings (weights) are required to be given to each class of
nonconformity, and accordingly demerit scores are calculated. Th
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