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  • INTERNATIONALSTANDARD

    ISO2859-1

    First editic..n1989-08-15

    Sampling procedures for inspection byattributes

    Part 1 :Sampling plans indexed by acceptable quality level(AQL) for lot-by-Iot inspection -

    Regles d'tjchantillonnage pour les con troles par attributs -Partie 1: Plans d'echantil/onnage pour les controles lot par lot, indexes d'apres Ieniveau de qualite acceptable (NQAJ

    Reference numberISO 2859-1 : 1989 IE)

  • ISO 2859-1 : 1989 (E)

    I~

    Contents

    Foreword .. . Pageiv

    1 Scope . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

    2 NormativeReference 1

    3 Terminologyand definitions ..........................................

    4 Expression of nonconformity. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3

    5 Acceptablequalitylevel(AQL) 3

    6 Submissionof product forsampling. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3

    7 Acceptance and non-acceptance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3

    8 Drawingof samples 4

    9 Normal,tightened, and reduced inspection 4

    10 Sampling plans . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5

    11 Determinationof acceptability 5

    12 Further information. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6

    Figure 1 - Outline of the switching rules. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8

    Tables

    @ ISO 1989All rights reserved.No part of this publication may be reproducedor utilized in any form or by anymeans, electronic or mechanical, including photocopying and microfilm, without permission inwriting from the publisher..

    International Organization for StandardizationCase postale 56 . CH-1211 Geneve 20 . Switzerland

    Printed in Switzerland

    ii

    Sa:nple size code letters. . . . .. . . . . . . . . . .. . .. . . . . . .. . . . . . . . . .. . . . . . . 10

    II-A Singlesamplingplansfor normalinspection(Mastertable) .. . . . . . . . . . . . 11

    II-B Singlesamplingplansfortightened inspection(Mastertable) . . . . . . . . . . . 12

    II-C Singlesamplingplansfor reduced inspection(Mastertable) ....... . . . . . 13

    III-A Doublesamplingplansfor normalinspection(Mastertable) ............ 14 -/

    III-B Doublesamplingplansfortightened inspection(Mastertable) .... . . . . . . 15

    III-C Doublesamplingplansfor reduced inspection(Mastertable) ........... 16

    IV-A Multiplesamplingplansfor normalinspection(Mastertable). . . . . . . . . . . . 17

    IV-B Multiplesamplingplansfor tightened inspection(Mastertable) ......... 20

    IV-C Multiplesamplingplansfor reduced inspection(Mastertable). . . . . . . . . . . 23

  • 1802859-1: 1989 (E)

    iii

    V-A Approximatevalues of average outgoing quality limitsfor normalinspection (Single sampling) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26

    V-B Approximatevalues of average outgoing quality limitsfortightened inspection (Single sampling) . .. . .. . . . . . . . '" . ... . . . . . . . .. . 27

    VI-A Limitingquality (in percent nonconforming)for which 10 %of the lots willbe expected to be accepted(Normal inspection, single sampling) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28

    VI-B Limitingquality (in nonconformities per 100units) for which 10 %of lots will be expected to be accepted(Normal inspection, single sampling) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29

    VII-A Limitingquality (in percent nonconforming)for which 5 %of lots willbe expected to be accepted(Normalinspection, singlesampling). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30

    VII-B Limitingquality (in nonconformities per 100units) for which 5 %"- of lots will be expected to be accepted

    (Normal inspection, single sampling) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31

    VIII Limitnumbers for reduced inspection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32

    IX Average sample size curves for double and multiplesampling plans(Normal and tightened inspection) . .. . . . . . . . . . .. . . . . . . . . .. . . . . . . . . .. 33

    X-A Tablesfor sample sizecode letter A (Individualplans). . . . . . . . . . . . . . . . . . 34

    X-B Tablesfor sample sizecode letter B (Individualplans) . . . . . . . . . . . . . . . . . . 36

    X-C Tables for sample sizecode letter C (Individualplans) . . . . . . . . . . . . . . . . . . 38

    X-D Tables for sample size code letter D (Individual plans) . . . . . . . . . . . . . . . . . . 40

    X-E Tablesfor sample sizecode letter E(Individualplans) . . . . . . . . . . . . . . . . . . 42

    X-F Tables for sample size code letter F (Individual plans) . . . . . . . . . . . . . . . . . . 44

    X-G Tablesfor sample sizecode letter G (Individualplans) . . . . . . . . . . . . . . . . . . 46

    '--' X-H Tablesfor sample sizecode letter H (Individualplans) . . . . . . . . . . . . . . . . . . 48

    X-J Tablesfor sample sizecode letter J (Individualplans) . . . . . . . . . . . . . . . . . . 50

    X-K Tablesfor sample sizecode letter K(Individualplans) . . . . . . . . . . . . . . . . . . 52

    X-L Tablesfor sample sizecode letter L(Individualplans) . . . . . . . . . . . . . . . . . . 54

    X-M Tablesfor sample sizecode letter M(Individualplans) ................. 56

    X-N Tables for sample size code letter N (Individual plans) . . . . . . . . . . . . . . . . . . 58

    X-P Tables for sample sizecode letter P (Individualplans) . . . . . . . . . . . . . . . . . . 60

    X-Q Tables for sample sizecode letter Q (Individualplans) . . . . . . . . . . . . . . . . . . 62

    X-R Tablesfor sample sizecode letter R (Individualplans) . . . . . . . . . . . . . . . . . . 64

    X-S Table for sample size code letter S . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66

    Annex A

    Index................................................................. . 67

  • ..,ISO 2859-1 : 1989 (E)

    SC

    Foreword

    ISO (the International Organization for Standardization) is a worldwide federation ofnational standards bodies (ISO member bodies). The work of preparing InternationalStandards is normally carried out through ISO technical committees. Each memberbody interested in a subject for which a technical committee has been established hasthe right to be represented on that committee. International organizations, govern-mental and non-governmental, in liaison with ISO, also take part in the work. ISOcollaborates closely with the International Electrotechnical Commission (lEC) on allmatters of electrotechnical standardization.

    Draft International Standards adopted by the technical committees are circulated tothe member bodies for approval before their acceptance as International Standards bythe ISO Council. They are approved in accordance with ISO procedures requiring atleast 75 % approval by the member bodies voting.

    International Standard ISO 2859-1 was prepared by Technical Committee ISO/TC 69,Applications of statistical methods.

    This first edition of ISO 2859-1 cancels and replaces ISO 2859 : 1974 of which it con-stitutes a technical revision.

    ISO 2859 will consist of the following parts, under the general title Sampling pro-cedures for inspection by attributes :

    Part 0 : Introduction to the ISO 2859 attribute sampling system

    Part 1 : Sampling plans indexed by acceptable quality level (AOL) for lot-by-Iotinspection

    Part 2: Sampling plans indexed by limiting quality (LQ) for isolated lot inspec-tion

    Part 3 : Skip lot sampling procedures

    Annex A of this part of ISO2859is for informationonly.

    @ ISO 1989

    All rights reserved. No part of this publication may be reproduced or utilized in any form or by anymeans, electronic or mechanical, including photocopying and microfilm, without permission inwriting from the publisher.

    International Organization for StandardizationCase postale 56 .CH-1211 Geneve 20 .Switzerland

    Printed in Switzerland

    iv

  • INTERNATIONALSTANDARD ISO 2859-1 : 1989(E)

    Sampling procedures for inspection by attributesPart 1 :Sampling plans indexed by acceptable quality level (AQL) forlot-by-Iot inspection

    1 Scope

    This part of ISO 2859specifies sampling plans and proceduresfor inspection by attributes of discrete items. It is indexed interms of the Acceptable Quality Level (AQL).

    Its purpose is to induce a supplier through the economic andpsychological pressure of lot non-acceptance to maintain a pro-cess average at least as good as the specified AQL, while at thesame time providing an upper limit for the risk to the consumerof accepting the occasional poor lot.

    This part of ISO 2859 is not intended as a procedure forestimating lot quality or for segregating lots.

    Sampling plans designated in this part of ISO 2859 are ap-plicable, but not limited, to inspection of

    a) end items;

    b) components and raw materials;

    c) operations;

    d) materials in process;

    e) supplies in storage;

    f) maintenance operations;

    g) data or records;

    h) administrative procedures.

    These plans are intended primarily to be used for a continuingseries of lots sufficient to allow the switching rules to beapplied, which provide for

    an automatic protection to the consumer, should adeteriorationin qualitybe detected (bya switch to tightenedinspectionor discontinuanceof inspection);

    an incentive to reduce inspection costs (at the discre-tion of the responsible auth

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