1、BSI Standards PublicationBS ISO 7870-5:2014Control chartsPart 5: Specialized control chartsBS ISO 7870-5:2014 BRITISH STANDARDNational forewordThis British Standard is the UK implementation of ISO 7870-5:2014.The UK participation in its preparation was entrusted to TechnicalCommittee SS/4, Statistic
2、al Process Management.A list of organizations represented on this committee can beobtained on request to its secretary.This publication does not purport to include all the necessaryprovisions of a contract. Users are responsible for its correctapplication. The British Standards Institution 2014. Pub
3、lished by BSI StandardsLimited 2014ISBN 978 0 580 68961 1ICS 03.120.30Compliance with a British Standard cannot confer immunity fromlegal obligations.This British Standard was published under the authority of theStandards Policy and Strategy Committee on 31 January 2014.Amendments issued since publi
4、cationDate Text affectedBS ISO 7870-5:2014 ISO 2014Control charts Part 5: Specialized control chartsCartes de contrle Partie 5: Cartes de contrle particuliresINTERNATIONAL STANDARDISO7870-5First edition2014-01-15Reference numberISO 7870-5:2014(E)BS ISO 7870-5:2014ISO 7870-5:2014(E)ii ISO 2014 All ri
5、ghts reservedCOPYRIGHT PROTECTED DOCUMENT ISO 2014All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized otherwise in any form or by any means, electronic or mechanical, including photocopying, or posting on the internet or an intranet, without pri
6、or written permission. Permission can be requested from either ISO at the address below or ISOs member body in the country of the requester.ISO copyright officeCase postale 56 CH-1211 Geneva 20Tel. + 41 22 749 01 11Fax + 41 22 749 09 47E-mail copyrightiso.orgWeb www.iso.orgPublished in SwitzerlandBS
7、 ISO 7870-5:2014ISO 7870-5:2014(E) ISO 2014 All rights reserved iiiContents PageForeword ivIntroduction v1 Scope . 12 Normative references 13 Terms and definitions . 14 Symbols and abbreviated terms . 44.1 Symbols . 44.2 Abbreviated terms . 55 Specialized control charts . 56 Moving average and movin
8、g range control charts . 56.1 Control limits 66.2 Interpretation 66.3 Advantages . 66.4 Limitations 66.5 Example . 67 z- chart. 97.1 Control limits 97.2 Advantages 107.3 Limitations . 107.4 Example 108 Group control chart 108.1 Control limits . 128.2 Advantages 128.3 Limitations . 138.4 Example 139
9、High-low control chart .169.1 Control limits . 169.2 Interpretation . 179.3 Advantages 179.4 Limitations . 179.5 Example 1710 Trend control chart .1910.1 Control limits . 2010.2 Advantages 2010.3 Limitations . 2110.4 Example 2111 Control chart for coefficient of variation .2411.1 Control limits . 24
10、11.2 Advantage . 2411.3 Limitation . 2411.4 Example 2512 Control chart for non-normal data .2612.1 Control limits . 2712.2 Example 2813 Standardized p- chart .3213.1 Control limits . 3413.2 Advantages and limitations . 3413.3 Example 34BS ISO 7870-5:2014ISO 7870-5:2014(E)ForewordISO (the Internation
11、al Organization for Standardization) is a worldwide federation of national standards bodies (ISO member bodies). The work of preparing International Standards is normally carried out through ISO technical committees. Each member body interested in a subject for which a technical committee has been e
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14、with the editorial rules of the ISO/IEC Directives, Part 2 (see www.iso.org/directives).Attention is drawn to the possibility that some of the elements of this document may be the subject of patent rights. ISO shall not be held responsible for identifying any or all such patent rights. Details of an
15、y patent rights identified during the development of the document will be in the Introduction and/or on the ISO list of patent declarations received (see www.iso.org/patents).Any trade name used in this document is information given for the convenience of users and does not constitute an endorsement
16、.For an explanation on the meaning of ISO specific terms and expressions related to conformity assessment, as well as information about ISOs adherence to the WTO principles in the Technical Barriers to Trade (TBT) see the following URL: Foreword - Supplementary informationThe committee responsible f
17、or 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: Accept
18、ance control charts Part 4: Cumulative sum control charts Part 5: Specialized control charts Part 6: EWMA control chartsiv ISO 2014 All rights reservedBS ISO 7870-5:2014ISO 7870-5:2014(E)IntroductionThe Shewhart control charts as given in ISO 7870-2 aid in detection of unnatural patterns of variatio
19、ns 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 o
20、f 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
21、 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 wh
22、en 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
23、 class of nonconformity, and accordingly demerit scores are calculated. The control limits are calculated based on such demerit scores and accordingly control charts are plotted to exercise process control.There may be situations when inspection by attributes is preferred to that by variables, from
24、practical considerations, for controlling both the location and the variability parameters of a measureable characteristic of a process (for example, inspection by gauging). The information is also available on the number of items less than the lower specification limits (no-go gauge) as well as the
25、 number of items above upper specification limit (go gauge) in assembly operations. In such situation, a specialized pair of control charts may be used.There may also be situations when data do not follow normal distribution. Such situations of non-normal data are quite often encountered in service
26、industry, besides in special processes of manufacturing. In such a situation specialized control chart is to be used.This part of ISO 7870 has been prepared to provide guidance on the use of specialized control charts to address above typical, unusual situations. ISO 2014 All rights reserved vBS ISO
27、 7870-5:2014BS ISO 7870-5:2014Control charts Part 5: Specialized control charts1 ScopeThis part of ISO 7870 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 proc
28、ess may either be not applicable or less efficient in detecting unnatural patterns of variation of the process.The specialized control charts included in this part of ISO 7870 for variables data are:a) moving average and moving range charts;b) z-charts;c) group control charts;d) highlow control char
29、ts;e) trend control charts;f) control charts for coefficient of variation;g) control charts for non-normal data.For attributes data, specialized control charts included in this part of ISO 7870 are:a) standardized p-charts;b) demerit control charts;c) control charts for inspection by gauging.This pa
30、rt of ISO 7870 also provides guidance as to when each of the above control charts should be used, their control limits, advantages and limitations. Each control chart is illustrated with an example.2 Normative referencesThe following referenced documents, in whole or in part, are normatively referen
31、ced in this document and are indispensable for its application. For dated references, only the edition cited applies. For undated references, the latest edition of the referenced document (including any amendments) applies.ISO 3534-2, Statistics Vocabulary and symbols Part 2: Applied statistics3 Ter
32、ms and definitionsFor the purposes of this document, the terms and definitions given in ISO 3534-2 and the following apply.INTERNATIONAL STANDARD ISO 7870-5:2014(E) ISO 2014 All rights reserved 1BS ISO 7870-5:2014ISO 7870-5:2014(E)3.1control chartchart on which some statistical measure of a series o
33、f samples is plotted in a particular order to steer the process with respect to that measure and to control and reduce variationNote 1 to entry: The particular order is usually based on time or sample number order.Note 2 to entry: The control chart operates most effectively when the measure is a pro
34、cess variable which is correlated with an ultimate product or service characteristic.SOURCE: ISO 3534-2:2006, 2.3.13.2Shewhart control chartcontrol chart with Shewhart control limits intended primarily to distinguish between the variation in the plotted measure due to random causes and that due to s
35、pecial causesSOURCE: ISO 3534-2:2006, 2.3.23.3variables control chartShewhart control chart in which the measure plotted represents data on a continuous scaleSOURCE: ISO 3534-2:2006, 2.3.63.4attributes control chartShewhart control chart in which the measure plotted represents countable or categoriz
36、ed dataSOURCE: ISO 3534-2:2006, 2.3.73.5Xbar control chartaverage control chartvariables control chart for evaluating the process level in terms of subgroup averagesSOURCE: ISO 3534-2:2006, 2.3.123.6R chartrange control chartvariables control chart for evaluating variation in terms of subgroup range
37、sNote 1 to entry: The value of the subgroup range, given by the symbol R, is the difference between the largest and smallest observation of a subgroup.Note 2 to entry: The average of the range values for all subgroups is denoted by the symbol R.SOURCE: ISO 3534-2:2006, 2.3.183.7moving average contro
38、l chartcontrol chart for evaluating the process level in terms of the arithmetic average of each successive n observationsNote 1 to entry: This chart is particularly useful when only one observation per subgroup is available. Examples are process characteristics such as temperature, pressure and tim
39、e.Note 2 to entry: The current observation replaces the oldest of the latest n + 1 observations.Note 3 to entry: It has the disadvantage of an unweighted carry-over effect lasting n points.SOURCE: ISO 3534-2:2006, 2.3.142 ISO 2014 All rights reservedBS ISO 7870-5:2014ISO 7870-5:2014(E)3.8moving rang
40、e control chartvariables control chart for evaluating variation in terms of the range of each successive n observationsNote 1 to entry: The current observation replaces the oldest of the latest n +1 observations.SOURCE: ISO 3534-2:2006, 2.3.203.9z-chartvariables control chart for evaluating the proc
41、ess in terms of subgroup standardized normal variates3.10group control chart for averagesvariables control chart for evaluating the process level in terms of subgroup (with several sources) highest and lowest averages with corresponding source identification3.11group control chart for rangesvariable
42、s control chart for evaluating the process variation in terms of subgroup (with several sources) highest ranges with corresponding source identification3.12high low control chartvariables control chart for evaluating the process level in terms of subgroup largest and smallest values3.13trend control
43、 chartcontrol chart for evaluating the process level with respect to the deviation of the subgroup averages from an expected change in the process levelNote 1 to entry: The trend may be determined empirically or by regression techniques.Note 2 to entry: A trend is an upward or downward tendency, aft
44、er exclusion of the random variation and cyclical effects, when observed values are plotted in the time order of the observations.SOURCE: ISO 3534-2:2006, 2.3.173.14control chart for coefficient of variationvariables control chart for evaluating variation in terms of subgroup coefficient of variatio
45、n3.15p chartproportion or percent categorized units control chartattributes control chart for number of units of a given classification per total number of units in the sample expressed either as a proportion or percentNote 1 to entry: In the quality field, the classification usually takes the form
46、of “nonconforming unit”.Note 2 to entry: The “p” chart is applied particularly when the sample size is variable.Note 3 to entry: The plotted measure can be expressed as a proportion or as a percentage.SOURCE: ISO 3534-2:2006, 2.3.113.16standardized p-chartattributes control chart where proportions o
47、f given classification are expressed as standardized normal variatesNote 1 to entry: In this chart, the centre line is zero, upper control limit is +3 and lower control limit is 3. ISO 2014 All rights reserved 3BS ISO 7870-5:2014ISO 7870-5:2014(E)3.17demerit control chartquality score chartmultiple
48、characteristic control chart for evaluating the process level where different weights are apportioned to events depending on their perceived significanceSOURCE: ISO 3534-2:2006, 2.3.233.18control chart for inspection by gaugingattributes control chart when the inspection is done by gauging and the i
49、nformation is available on the number of units above upper gauge limit and below lower gauge limit4 Symbols and abbreviated terms4.1 Symbolsn subgroup sample sizek number of subgroupsxindividual measured valuexiaverage value of i-th subgroupxaverage of the subgroup average valuestrue process mean valuetrue process standard deviation valueR rangeRaverage rangessample standard deviations average of subgroup sample standard deviationspproportion or fraction of unitsp average value of the proportion or fraction of unitsCLc
