{"id":355217,"date":"2024-10-20T01:06:56","date_gmt":"2024-10-20T01:06:56","guid":{"rendered":"https:\/\/pdfstandards.shop\/product\/uncategorized\/bs-6002-32005\/"},"modified":"2024-10-26T01:23:07","modified_gmt":"2024-10-26T01:23:07","slug":"bs-6002-32005","status":"publish","type":"product","link":"https:\/\/pdfstandards.shop\/product\/publishers\/bsi\/bs-6002-32005\/","title":{"rendered":"BS 6002-3:2005"},"content":{"rendered":"

This British Standard specifies an acceptance sampling system of double sampling schemes for inspection by variables for percent nonconforming. It is indexed in terms of the acceptance quality limit (AQL).<\/p>\n

The objectives of the methods laid down in this British Standard are to ensure that lots of acceptable quality have a high probability of acceptance and that the probability of non-accepting inferior lots is as high as practicable. This is achieved by means of the switching rules, which provide:<\/p>\n

    \n
  1. automatic protection to the consumer (by means of a switch to tightened inspection or discontinuation of sampling inspection) should a deterioration in quality be detected;<\/li>\n
  2. an incentive (at the discretion of the responsible authority) to reduce inspection costs (by means of a switch to a smaller sample size) should consistently good quality be achieved.<\/li>\n<\/ol>\n

    In this British Standard, the acceptability of a lot is implicitly or explicitly determined from an estimate of the percentage of nonconforming items in the process, based on either one or two random samples of items from the lot.<\/p>\n

    This British Standard is primarily designed for use under the following conditions:<\/p>\n

      \n
    1. where the inspection procedure is to be applied to a continuing series of lots of discrete products all supplied by one producer using one production process. If there are different producers or production processes, this British Standard shall be applied to each one separately;<\/li>\n
    2. where the items of product have a single quality characteristic (for multiple quality characteristics, see Annex A, Annex B and Annex C, which are all informative);<\/li>\n
    3. where the quality characteristic is measurable on a continuous scale;<\/li>\n
    4. where the measurement error is negligible (i.e. with a standard deviation no more than 10 % of the corresponding process standard deviation);<\/li>\n
    5. where production is stable (under statistical control) and the quality characteristic is distributed, at least to a close approximation, according to a normal distribution;<\/li>\n<\/ol>\n

      CAUTION. The procedures in this British Standard are not suitable for application to lots that have been screened previously for nonconforming items.<\/p>\n

        \n
      1. where the possibility of having to select and inspect a second sample is administratively acceptable;<\/li>\n
      2. where a contract or standard defines an upper specification limit U<\/i>, a lower specification limit L<\/i>, or both on the quality characteristic. An item is deemed to conform if its measured quality characteristic x<\/i> satisfies the appropriate one of the following inequalities:\n
          \n
        1. x \u2264 U<\/i> (i.e. the upper specification limit is not violated);<\/li>\n
        2. x \u2265 L<\/i> (i.e. the lower specification limit is not violated);<\/li>\n
        3. x \u2264 U<\/i> and x \u2265 L<\/i> (i.e. neither the upper nor the lower specification limit is violated).<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n
          \n

          NOTE Inequalities i) and ii) are called cases with a \u201csingle specification limit\u201d, and iii) is the case with \u201cdouble specification limits\u201d.<\/p>\n<\/blockquote>\n

          For double specification limits, a further distinction is made between combined control, separate control and complex control, as follows:<\/p>\n

            \n
          • combined control is where a single AQL applies to nonconformity beyond both limits;<\/li>\n
          • separate control is where separate AQLs apply to nonconformity beyond each of the limits;<\/li>\n
          • complex control is where one AQL applies to nonconformity beyond the limit that is of greater seriousness, and a larger AQL applies to the total nonconformity beyond both limits.<\/li>\n<\/ul>\n

            PDF Catalog<\/h4>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
            PDF Pages<\/th>\nPDF Title<\/th>\n<\/tr>\n
            1<\/td>\nBRITISH STANDARD <\/td>\n<\/tr>\n
            2<\/td>\nCommittees responsible for this British\ufffdStandard <\/td>\n<\/tr>\n
            3<\/td>\nContents <\/td>\n<\/tr>\n
            9<\/td>\nIntroduction
            1 Scope <\/td>\n<\/tr>\n
            10<\/td>\n2 Normative references
            3 Terms and definitions
            inspection by variables
            sampling inspection
            acceptance sampling inspection <\/td>\n<\/tr>\n
            11<\/td>\ndouble sampling inspection
            acceptance sampling inspection by variables
            process average
            acceptance quality limit
            quality level
            limiting quality
            nonconformity
            nonconforming unit
            \u201cs\u201d method acceptance sampling plan
            \u201c\u00d6\u201d method acceptance sampling plan <\/td>\n<\/tr>\n
            12<\/td>\nspecification limit
            lower specification limit
            upper specification limit
            combined control
            separate control
            complex control
            acceptability constant
            quality statistic
            lower quality statistic
            upper quality statistic <\/td>\n<\/tr>\n
            13<\/td>\nmaximum sample standard deviation
            maximum process standard deviation
            switching rule
            measurement
            average sample number
            4 Symbols and abbreviations <\/td>\n<\/tr>\n
            14<\/td>\n5 Acceptance quality limit (AQL)
            5.1 Concept <\/td>\n<\/tr>\n
            15<\/td>\n5.2 Use
            5.3 Specifying AQLs
            5.4 Preferred AQLs
            5.5 Caution
            5.6 Limitation
            6 Switching rules for normal, tightened and reduced inspection <\/td>\n<\/tr>\n
            16<\/td>\n7 Relation to BS\ufffd6001-1
            7.1 Similarities to BS\ufffd6001-1
            7.2 Differences from BS\ufffd6001-1 <\/td>\n<\/tr>\n
            17<\/td>\n8 Limiting quality protection
            8.1 Use of individual plans
            8.2 Consumer\u2019s risk quality tables
            8.3 Producer\u2019s risk tables
            8.4 Operating characteristic curves
            9 Planning <\/td>\n<\/tr>\n
            18<\/td>\n10 Choice between variables and attributes
            11 Choice of method
            12 Choice between single and double sampling plans <\/td>\n<\/tr>\n
            19<\/td>\n13 Choice of inspection level and AQL
            14 Choice of sampling scheme
            14.1 Standard schemes <\/td>\n<\/tr>\n
            20<\/td>\n14.2 Special schemes
            15 Preliminary operations
            16 Standard univariate \u201c
            16.1 Obtaining a plan, sampling and preliminary calculations <\/td>\n<\/tr>\n
            21<\/td>\n16.2 Form <\/td>\n<\/tr>\n
            23<\/td>\n16.3 Form <\/td>\n<\/tr>\n
            24<\/td>\n16.4 Form <\/td>\n<\/tr>\n
            29<\/td>\n16.5 Form
            17 Standard univariate \u201c\u00f7\u201d method procedures
            17.1 Obtaining a plan, sampling and preliminary calculations <\/td>\n<\/tr>\n
            30<\/td>\n17.2 Form <\/td>\n<\/tr>\n
            32<\/td>\n17.3 Form <\/td>\n<\/tr>\n
            33<\/td>\n17.4 Form <\/td>\n<\/tr>\n
            34<\/td>\n17.5 Form <\/td>\n<\/tr>\n
            35<\/td>\n18 Procedure during continuing inspection
            19 Normality and outliers
            19.1 Normality
            19.2 Outliers <\/td>\n<\/tr>\n
            36<\/td>\n20 Records
            20.1 Control charts
            20.2 Lots that are non-accepted
            21 Operation of switching rules
            21.1 Normal inspection
            21.2 Tightened inspection
            21.3 Reduced inspection <\/td>\n<\/tr>\n
            37<\/td>\n22 Discontinuation and resumption of inspection
            23 Switching between the \u201c
            23.1 Estimating the process standard deviation
            23.2 State of statistical control
            23.3 Switching from the \u201c
            23.4 Switching from the \u201c\u00f7\u201d method to the \u201c
            Table 1 \u2014 Sample size code letters and inspection levels BS 6002-1. <\/td>\n<\/tr>\n
            38<\/td>\nTable 2.1 \u2014 Form k double sampling plans for normal inspection (master table) \u2014 \u201cs\u201d method <\/td>\n<\/tr>\n
            39<\/td>\nTable 2.2 \u2014 Form k double sampling plans for tightened inspection (master table) \u2014 \u201cs\u201d method <\/td>\n<\/tr>\n
            40<\/td>\nTable 2.3 \u2014 Form k double sampling plans for reduced inspection (master table) \u2014 \u201cs\u201d method <\/td>\n<\/tr>\n
            41<\/td>\nTable 3.1 \u2014 Form k double sampling plans for normal inspection (master table) \u2014 \u201c\u00d6\u201d method <\/td>\n<\/tr>\n
            42<\/td>\nTable 3.2 \u2014 Form k double sampling plans for tightened inspection (master table) \u2014 \u201c\u00d6\u201d method <\/td>\n<\/tr>\n
            43<\/td>\nTable 3.3 \u2014 Form k double sampling plans for reduced inspection (master table) \u2014 \u201c\u00d6\u201d method <\/td>\n<\/tr>\n
            44<\/td>\nTable 4.1 \u2014 Values of fs for maximum sample standard deviation (MSSD) for combined control of double specification limits \u2014 Normal inspection, \u201cs\u201d method <\/td>\n<\/tr>\n
            45<\/td>\nTable 4.2 \u2014 Values of fs for maximum sample standard deviation (MSSD) for combined control of double specification limits \u2014 Tightened inspection, \u201cs\u201d method <\/td>\n<\/tr>\n
            46<\/td>\nTable 4.3 \u2014 Values of fs for maximum sample standard deviation (MSSD) for combined control of double specification limits \u2014 Reduced inspection, \u201cs\u201d method E 1.3303 .6494 F
            Table 5.1 \u2014 Values of f\u00d6 for maximum process standard deviation (MPSD) for combined control of double specification limits \u2014 \u201c\u00d6\u201d method <\/td>\n<\/tr>\n
            47<\/td>\nTable 5.2 \u2014 Values of f\u00d6 for maximum process standard deviation ( MPSD) for separate control of double specification limits \u2014 \u201c \u00d6\u201d method <\/td>\n<\/tr>\n
            48<\/td>\nTable 5.3 \u2014 Values of f\u00d6 for maximum process standard deviation ( MPSD) for complex control of double specification limits \u2014 \u201c \u00d6\u201d method <\/td>\n<\/tr>\n
            49<\/td>\nTable 6 \u2014 Estimated process average, , as a function of the quality statistic Q for sample size 3 \u2014 \u201cs\u201d method p\u02c6 <\/td>\n<\/tr>\n
            51<\/td>\nTable 7.1 \u2014 Form p* double sampling plans for normal inspection (master table) \u2014 \u201cs\u201d method <\/td>\n<\/tr>\n
            52<\/td>\nTable 7.2 \u2014 Form p* double sampling plans for tightened inspection (master table) \u2014 \u201cs\u201d method <\/td>\n<\/tr>\n
            53<\/td>\nTable 7.3 \u2014 Form p* double sampling plans for reduced inspection (master table) \u2014 \u201cs\u201d method <\/td>\n<\/tr>\n
            54<\/td>\nTable 8.1 \u2014 Form p* double sampling plans for normal inspection (master table) \u2014 \u201c\u00d6\u201d method <\/td>\n<\/tr>\n
            55<\/td>\nTable 8.2 \u2014 Form p* double sampling plans for tightened inspection (master table) \u2014 \u201c\u00d6\u201d method <\/td>\n<\/tr>\n
            56<\/td>\nTable 8.3 \u2014 Form p* double sampling plans for reduced inspection (master table) \u2014 “O” method <\/td>\n<\/tr>\n
            57<\/td>\nTable 9 \u2014 Values of cU for upper control limit of sample standard deviation <\/td>\n<\/tr>\n
            58<\/td>\nChart A \u2014 Sample size code letters of standard double sampling plans for specified qualities at 95 % and 50 % probabilities of acceptance <\/td>\n<\/tr>\n
            59<\/td>\nChart C \u2014 Operating characteristic curves for double sampling plans, normal inspection \u2014 Sample size code letter C, \u201cs\u201d method <\/td>\n<\/tr>\n
            60<\/td>\nChart D \u2014 Operating characteristic curves for double sampling plans, normal inspection \u2014 Sample size code letter D, \u201cs\u201d method <\/td>\n<\/tr>\n
            61<\/td>\nChart E \u2014 Operating characteristic curves for double sampling plans, normal inspection \u2014 Sample size code letter E, \u201cs\u201d method <\/td>\n<\/tr>\n
            62<\/td>\nChart F \u2014 Operating characteristic curves for double sampling plans, normal inspection \u2014 Sample size code letter F, \u201cs\u201d method <\/td>\n<\/tr>\n
            63<\/td>\nChart G \u2014 Operating characteristic curves for double sampling plans, normal inspection \u2014 Sample size code letter G, \u201cs\u201d method <\/td>\n<\/tr>\n
            64<\/td>\nChart H \u2014 Operating characteristic curves for double sampling plans, normal inspection \u2014 Sample size code letter H, \u201cs\u201d method <\/td>\n<\/tr>\n
            65<\/td>\nChart J \u2014 Operating characteristic curves for double sampling plans, normal inspection \u2014 Sample size code letter J, \u201cs\u201d method <\/td>\n<\/tr>\n
            66<\/td>\nChart K \u2014 Operating characteristic curves for double sampling plans, normal inspection \u2014 Sample size code letter K, \u201cs\u201d method <\/td>\n<\/tr>\n
            67<\/td>\nChart L \u2014 Operating characteristic curves for double sampling plans, normal inspection \u2014 Sample size code letter L, \u201cs\u201d method <\/td>\n<\/tr>\n
            68<\/td>\nChart M \u2014 Operating characteristic curves for double sampling plans, normal inspection \u2014 Sample size code letter M, \u201cs\u201d method <\/td>\n<\/tr>\n
            69<\/td>\nChart N \u2014 Operating characteristic curves for double sampling plans, normal inspection \u2014 Sample size code letter N, \u201cs\u201d method <\/td>\n<\/tr>\n
            70<\/td>\nChart P \u2014 Operating characteristic curves for double sampling plans, normal inspection \u2014 Sample size code letter P, \u201cs\u201d method <\/td>\n<\/tr>\n
            71<\/td>\nChart Q \u2014 Operating characteristic curves for double sampling plans, normal inspection \u2014 Sample size code letter Q, \u201cs\u201d method <\/td>\n<\/tr>\n
            72<\/td>\nChart R \u2014 Operating characteristic curves for double sampling plans, normal inspection \u2014 Sample size code letter R, \u201cs\u201d method <\/td>\n<\/tr>\n
            73<\/td>\nAnnex A (informative)
            A.1 Standard multivariate \u201cs\u201d method procedures for double sampling with independent quality characteristics
            A.2 Procedure for a single class of nonconformity
            A.3 Procedure for more than one class of nonconformity <\/td>\n<\/tr>\n
            74<\/td>\nAnnex B informative)
            B.1 Standard multivariate \u201cO\u201d method procedures for double sampling with independent qu…
            B.2 Procedure for a single class of nonconformity <\/td>\n<\/tr>\n
            75<\/td>\nB.3 Procedure for more than one class of nonconformity <\/td>\n<\/tr>\n
            76<\/td>\nAnnex C (informative)
            Standard multivariate combined \u201cs\u201d and \u201c\u00d6\u201d method procedures for double sampling with independent quality characteristics
            C.1 General
            C.2 Procedure for a single class of nonconformity
            C.3 Procedure for more than one class of nonconformity <\/td>\n<\/tr>\n
            77<\/td>\nAnnex D (informative)
            Location of text on key features <\/td>\n<\/tr>\n
            78<\/td>\nAnnex E (normative)
            Estimating the process fraction nonconforming
            E.1 General
            E.2 Notation
            E.3 Exact formulae for a single sample of size
            The exact MVUE estimator of p for the \u201c <\/td>\n<\/tr>\n
            79<\/td>\nThe exact MVUE estimator of p for the \u201cB\u201d method
            E.4 Exact formulae for a double sample with each sample of size
            The exact MVUE estimator of <\/td>\n<\/tr>\n
            80<\/td>\nThe exact MVUE estimator of
            E.5 Approximative procedure for the \u201c <\/td>\n<\/tr>\n
            81<\/td>\nTable E.1 \u2014 Values of an <\/td>\n<\/tr>\n
            82<\/td>\nE.6 Simplified exact formula for\ufffd <\/td>\n<\/tr>\n
            83<\/td>\nE.7 Simplified exact formula for\ufffd <\/td>\n<\/tr>\n
            84<\/td>\nAnnex F (informative)
            (informative) Form k \u201cs\u201d method single sampling plans matched to the corresponding
            \nsingle sampling plans by attributes
            Table F.1 Matched single sampling plans of Form <\/td>\n<\/tr>\n
            85<\/td>\nTable F.2 Matched single sampling plans of Form <\/td>\n<\/tr>\n
            86<\/td>\nTable F.3 Matched single sampling plans of Form <\/td>\n<\/tr>\n
            87<\/td>\nAnnex G (informative)
            Form k \u201c\u00d6\u201d method single sampling plans matched to the corresponding
            \nsingle sampling plans by attributes
            Table G.1 Matched single sampling plans of Form <\/td>\n<\/tr>\n
            88<\/td>\nTable G.2 Matched single sampling plans of Form <\/td>\n<\/tr>\n
            89<\/td>\nTable G.3 Matched single sampling plans of Form <\/td>\n<\/tr>\n
            90<\/td>\nAnnex H (informative)
            Average sample numbers for double sampling by variables:\ufffd\u2014\ufffd\u201c
            Table H.1 Average sample numbers for double sampling under normal inspection \u2014 \u201c <\/td>\n<\/tr>\n
            91<\/td>\nTable H.2 Average sample numbers for double sampling under tightened\ufffdinspection \u2014 \u201c <\/td>\n<\/tr>\n
            92<\/td>\nTable H.3 Average sample numbers for double sampling under reduced\ufffdinspection \u2014 \u201c <\/td>\n<\/tr>\n
            93<\/td>\nAnnex I (informative)
            Producer\u2019s risks under normal inspection (in percent) \u2014 \u201cs\u201d method
            Table I.1 Producer\u2019s risks under normal inspection (in percent) \u2014 \u201c <\/td>\n<\/tr>\n
            94<\/td>\nTable I.2 Producer\u2019s risks under tightened inspection (in percent) \u2014 \u201c <\/td>\n<\/tr>\n
            95<\/td>\nTable I.3 Producer\u2019s risks under reduced inspection (in percent) \u2014 \u201c <\/td>\n<\/tr>\n
            96<\/td>\nAnnex J (informative)
            Tabulated operating characteristics for double sampling plans with known process st…
            Table J.1 Tabulated \u201c\u00f7\u201d method OCs for code letter C (normal and tightened inspection) and\ufffdE (reduced inspe…
            Table J.2Tabulated \u201c\u00f7\u201d method OCs for code letter D (normal and tightened inspection) and\ufffdF (reduced inspe… <\/td>\n<\/tr>\n
            97<\/td>\nTable J.3 Tabulated \u201c\u00f7\u201d method OCs for code letter E (normal and tightened inspection) and\ufffdG (reduced inspe…
            Table J.4 Tabulated \u201c\u00f7\u201d method OCs for code letter F (normal and tightened inspection) and\ufffdH (reduced inspe… <\/td>\n<\/tr>\n
            98<\/td>\nTable J.5 Tabulated \u201c\u00f7\u201d method OCs for code letter G (normal and tightened inspection) and\ufffdJ (reduced inspe…
            Table J.6 Tabulated \u201c\u00f7\u201d method OCs for code letter H (normal and tightened inspection) and\ufffdK (reduced inspe… <\/td>\n<\/tr>\n
            99<\/td>\nTable J.7 Tabulated \u201c\u00f7\u201d method OCs for code letter J (normal and tightened inspection) and\ufffdL (reduced inspe…
            Table J.8 Tabulated \u201c\u00f7\u201d method OCs for code letter K (normal and tightened inspection) and\ufffdM (reduced inspe… <\/td>\n<\/tr>\n
            100<\/td>\nTable J.9 Tabulated \u201c\u00f7\u201d method OCs for code letter L (normal and tightened inspection) and\ufffdN (reduced inspe…
            Table J.10 Tabulated \u201c\u00f7\u201d method OCs for code letter M (normal and tightened inspection) and\ufffdP (reduced inspe… <\/td>\n<\/tr>\n
            101<\/td>\nTable J.11 Tabulated \u201c\u00f7\u201d method OCs for code letter N (normal and tightened inspection) and\ufffdQ (reduced inspe…
            Table J.12 Tabulated \u201c\u00f7\u201d method OCs for code letter P (normal and tightened inspection) and\ufffdR (reduced inspe… <\/td>\n<\/tr>\n
            102<\/td>\nTable J.13 Tabulated \u201c\u00f7\u201d method OCs for code letter Q (normal and tightened inspection)
            Table J.14 Tabulated \u201c\u00f7\u201d method OCs for code letter R (normal and tightened inspection) <\/td>\n<\/tr>\n
            103<\/td>\nAnnex K (informative)
            Ratios of ASNs of double sampling plans under normal inspection to the sample\ufffdsize …
            Table K.1 Minimum and maximum values of the ratios of the ASNs \u2014\ufffd \u201c <\/td>\n<\/tr>\n
            104<\/td>\nTable K.2 Minimum and maximum values of the ratios of the ASNs \u2014\ufffd \u201c <\/td>\n<\/tr>\n
            105<\/td>\nAnnex L (informative)
            Ratios of the ASNs of double sampling plans by variables to the ASNs of correspondin…
            Table L.1 Minimum and maximum ASN ratios for normal inspection <\/td>\n<\/tr>\n
            106<\/td>\nTable L.2 Minimum and maximum ASN ratios for tightened inspection <\/td>\n<\/tr>\n
            107<\/td>\nTable L.3 Minimum and maximum ASN ratios for reduced inspection <\/td>\n<\/tr>\n
            109<\/td>\nBibliography <\/td>\n<\/tr>\n<\/table>\n","protected":false},"excerpt":{"rendered":"

            Sampling procedures for inspection by variables – Guide to double sampling schemes indexed by acceptance quality limit (AQL) for lot-by-lot inspection<\/b><\/p>\n\n\n\n\n
            Published By<\/td>\nPublication Date<\/td>\nNumber of Pages<\/td>\n<\/tr>\n
            BSI<\/b><\/a><\/td>\n2005<\/td>\n110<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"featured_media":355226,"template":"","meta":{"rank_math_lock_modified_date":false,"ep_exclude_from_search":false},"product_cat":[97,2641],"product_tag":[],"class_list":{"0":"post-355217","1":"product","2":"type-product","3":"status-publish","4":"has-post-thumbnail","6":"product_cat-03-120-30","7":"product_cat-bsi","9":"first","10":"instock","11":"sold-individually","12":"shipping-taxable","13":"purchasable","14":"product-type-simple"},"_links":{"self":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product\/355217","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product"}],"about":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/types\/product"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/media\/355226"}],"wp:attachment":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/media?parent=355217"}],"wp:term":[{"taxonomy":"product_cat","embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product_cat?post=355217"},{"taxonomy":"product_tag","embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product_tag?post=355217"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}