1、Designation: E2762 10 (Reapproved 2014) An American National StandardStandard Practice forSampling a Stream of Product by Variables Indexed byAQL1This standard is issued under the fixed designation E2762; the number immediately following the designation indicates the year oforiginal adoption or, in
2、the case of revision, the year of last revision. A number in parentheses indicates the year of last reapproval. Asuperscript epsilon () indicates an editorial change since the last revision or reapproval.1. Scope1.1 PurposeThis practice establishes lot or batch sam-pling plans and procedures for ins
3、pection by variables usingMIL-STD-414 as a basis for sampling a steady stream of lotsindexed by AQL.1.2 This practice provides the sampling plans of MIL-STD-414 in ASTM format for use by ASTM committees and others.It recognizes the continuing usage of MIL-STD-414 in indus-tries supported by ASTM. Mo
4、st of the original text in MIL-STD-414 is preserved in Sections 69of this practice.1.3 The values stated in inch-pound units are to be regardedas standard. No other units of measurement are included in thisstandard.1.4 This standard does not purport to address all of thesafety concerns, if any, asso
5、ciated with its use. It is theresponsibility of the user of this standard to establish appro-priate safety and health practices and determine the applica-bility of regulatory limitations prior to use.2. Referenced Documents2.1 ASTM Standards:2E456 Terminology Relating to Quality and StatisticsE2234
6、Practice for Sampling a Stream of Product by Attri-butes Indexed by AQLE2586 Practice for Calculating and Using Basic Statistics2.2 Other Standards:3MIL-STD-414 Sampling Procedures and Tables for Inspec-tion by Variables for Percent DefectiveMIL-STD-105E Sampling Procedures and Tables for In-spectio
7、n by Attributes3. Terminology3.1 Definitions:3.1.1 For a more extensive list of terms in E11 standards,see Terminology E456.3.1.2 acceptance quality limit (AQL), nquality limit that isthe worst tolerable process average when a continuing series oflots is submitted for acceptance sampling. E22343.1.2
8、.1 DiscussionThis definition supersedes that given inMIL-STD-105E and MIL-STD-414.3.1.3 classification of defects, nthe enumeration of pos-sible defects of the unit of product classified according to theirseriousness, that is, critical, major, or minor defect. E22343.1.4 critical defect, na defect t
9、hat judgment and experi-ence indicate would result in hazardous or unsafe conditionsfor individuals using, maintaining, or depending upon theproduct, or a defect that judgment and experience indicate islikely to prevent performance of the function of a major enditem. E22343.1.5 defect, nany nonconfo
10、rmance of the unit of productwith specified requirements. E22343.1.6 inspection, nthe process of measuring, examining,testing, or otherwise comparing the unit of product with therequirements. E22343.1.7 inspection by variables, ninspection wherein theunit of product is measured on a continuous scale
11、 with respectto a given requirement or set of requirements.3.1.8 inspection lot, na collection of units of productproduced under conditions that are considered uniform andfrom which a sample is drawn and inspected. E22343.1.9 major defect, na defect, other than critical, that islikely to result in f
12、ailure, or to reduce materially the usabilityof the unit of product for its intended purpose. E22343.1.10 minor defect, na defect that is not likely to reducematerially the usability of the unit of product for its intendedpurpose, or is a departure from established standards havinglittle bearing on
13、the effective use or operation of the unit.E22341This practice is under the jurisdiction of ASTM Committee E11 on Quality andStatistics and is the direct responsibility of Subcommittee E11.30 on StatisticalQuality Control.Current edition approved April 1, 2014. Published May 2014. Originallyapproved
14、 in 2010. Last previous edition approved in 2010 as E2762 10. DOI101520/E2762-10.2For referenced ASTM standards, visit the ASTM website, www.astm.org, orcontact ASTM Customer Service at serviceastm.org. For Annual Book of ASTMStandards volume information, refer to the standards Document Summary page
15、 onthe ASTM website.3Available from Standardization Documents Order Desk, DODSSP, Bldg. 4,Section D, 700 Robbins Ave., Philadelphia, PA 19111-5098, http:/dodssp.daps.dla.mil.Copyright ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959. United States13.1.11 opera
16、ting characteristic, nprobability of accep-tance using a specified acceptance sampling plan, as a functionof parameters describing quality of the lot. E22343.1.12 sample, na group of observations, test results,taken from a large collection of observations, test results,which serves to provide inform
17、ation that may be used as a basisfor making a decision concerning the larger collection. E25863.1.12.1 DiscussionA sample consists of one or moreunits of product drawn from an inspection lot, the units of thesample being selected at random without regard to theirquality. The number of units of produ
18、ct in the sample is thesample size.4. Summary of Practice4.1 The main body of this practice is divided into foursections. Section 6 (Section A in MIL-STD-414) describesgeneral procedures of the sampling plans. Sections 7 and 8(Sections B and C in MIL-STD-414) describe specific proce-dures and applic
19、ations of the sampling plans when variabilityis unknown. In Section 7 (Section B in MIL-STD-414) theestimate of lot standard deviation is used as the basis for anestimate of the unknown variability, and in Section 8 (SectionC in MIL-STD-414) the average range of the sample is used.Section 9 (Section
20、 D in MIL-STD-414) describes the planswhen variability is known.4.2 Each of Sections 7, 8, and 9 is divided into three parts:(I) Sampling Plans for the Single Specification Limit Case, (II)Sampling Plans for the Double Specification Limit Case, and(III) Procedures for Estimation of ProcessAverage an
21、d Criteriafor Tightened and Reduced Inspection. For the single specifi-cation limit case, the acceptability criterion is given in twoforms: Form 1 and Form 2. Either of the forms may be used,since they are identical as to sample size and decision for lotacceptability or rejectability. In deciding wh
22、ether to use Form 1or Form 2, the following point should be borne in mind.Form 1 provides the lot acceptability criterion without estimat-ing lot percent defective. The Form 2 lot acceptability criterionrequires estimates of lot percent defective. These estimates alsoare required for estimation of t
23、he process average.4.3 Operating Characteristic Curves in Table A-3 (see Fig.A1.3) show the relationship between quality and percent of lotsexpected to be acceptable for the quality characteristic in-spected. As stated, these Operating Characteristic Curves arebased on the assumption that measuremen
24、ts are selected atrandom from a normal distribution.4.4 The corresponding sampling plans in Sections 7, 8, and9 were matched as closely as possible under a system of fixedsample size with respect to their Operating CharacteristicCurves. Operating Characteristic Curves in Table A-3 (see Fig.A1.3) hav
25、e been computed for the sampling plans based on theestimate of lot standard deviation of unknown variability. Theyare equally applicable for sampling plans based on the averagerange of the sample of unknown variability and those based onknown variability.4.5 Certain characteristics concerning the sa
26、mpling plans inSections 7 and 8 and those in Section 9 should be noted. Plansbased on the estimate of unknown variability require fewersample units for comparable assurance when the estimate of lotstandard deviation is used than when the average range of thesample is used; on the other hand, plans u
27、sing the averagerange of the sample require simpler computations. Plans usingknown variability require considerably fewer sample units forcomparable assurance than either of the plans when variabilityis unknown; however, the requirement of variability is astringent one. The user is advised to consul
28、t his technicalagency before applying sampling plans using known variabil-ity.4.6 Table B-8 (see Fig. A1.11) provides values of thefactor F to compute the maximum standard deviation MSD.The MSD serves as a guide for the magnitude of the estimateof lot standard deviation when using plans for the doub
29、lespecification limit case, based on the estimate of lot standarddeviation of unknown variability. Similarly, Table C-8 (see Fig.A1.19) provides values of the factor f to compute the maxi-mum average range MAR. The MAR serves as a guide for themagnitude of the average range of the sample when using
30、plansfor the double specification limit case, based on the averagerange of the sample of unknown variability. The estimate of lotstandard deviation or average range of the sample, if it is lessthan the MSD or MAR respectively, helps to insure, but doesnot guarantee, lot acceptability.4.7 All symbols
31、 and their definitions are given in Annex A1for their applicable section. An illustration of the computationsand procedures used in the sampling plans is given in theexamples of Parts I and II of the applicable section. Thecomputations involve simple arithmetic operations such asaddition, subtractio
32、n, multiplication, and division of numbers,or at most, the taking of a square root of a number. The usershould become familiar with the general procedures of Section6, and refer to the applicable section for detailed instructionsregarding specific procedures, computations, and tables for thesampling
33、 plans.5. Significance and Use5.1 This practice was prepared to meet a growing need forthe use of standard sampling plans for inspection by variablesin customer procurement, supply and storage, and maintenanceinspection operations. The variables sampling plans apply to asingle quality characteristic
34、 which can be measured on acontinuous scale, and for which quality is expressed in terms ofpercent defective. The theory underlying the development ofthe variables sampling plans, including the operating charac-teristic curves, assumes that measurements of the qualitycharacteristic are independent,
35、identically distributed normalrandom variables.5.2 In comparison with attributes sampling plans, variablessampling plans have the advantage of usually resulting inconsiderable savings in sample size for comparable assuranceas to the correctness of decisions in judging a single qualitycharacteristic,
36、 or for the same sample size, greater assurance isobtained using variables plans. Attributes sampling plans havethe advantage of greater simplicity, of being applicable toeither single or multiple quality characteristics, and of requir-ing no knowledge about the distribution of the continuousmeasure
37、ments of any of the quality characteristics.E2762 10 (2014)25.3 It is important to note that variables sampling plans arenot to be used indiscriminately, simply because it is possible toobtain variables measurement data. In considering applicationswhere the normality or independence assumptions may
38、bequestioned, the user is advised to consult his technical agencyto determine the feasibility of application.5.4 ApplicationSampling plans designated in this publi-cation are applicable, but not limited, to inspection of thefollowing: (1) end items, (2) components and raw materials, (3)operations or
39、 services, (4) materials in process, (5) supplies instorage, (6) maintenance operations, (7) data or records, and(8) administrative procedures.6. General Description of Sampling Plans6.1 Scope:6.1.1 PurposeThis practice establishes sampling plansand procedures for inspection by variables for use in
40、customerprocurement, supply and storage, and maintenance inspectionoperations. When applicable this practice shall be referenced inthe specification, contract, or inspection instructions, and theprovisions set forth herein shall govern.6.1.2 InspectionInspection is the process of measuring,examining
41、, testing, gaging, or otherwise comparing the “unit ofproduct” (see 6.1.4) with the applicable requirements.6.1.3 Inspection by VariablesInspection by variables isinspection wherein a specified quality characteristic (see 6.1.5)on a unit of product is measured on a continuous scale, such aspounds, i
42、nches, feet per second, etc., and a measurement isrecorded.6.1.4 Unit of ProductThe unit of product is the entity ofproduct inspected in order to determine its measurable qualitycharacteristic. This may be a single article, a pair, a set, acomponent of a product, or the end product itself. The unit
43、ofproduct may or may not be the same as the unit of purchase,supply, production, or shipment.6.1.5 Quality CharacteristicThe quality characteristic forvariables inspection is that characteristic of a unit of productthat is actually measured to determine conformance with agiven requirement.6.1.6 Spec
44、ification LimitsThe specification limit(s) is therequirement that a quality characteristic should meet. Thisrequirement may be expressed as an upper specification limit;or a lower specification limit, called herein a single specifica-tion limit; or both upper and lower specification limits, calledhe
45、rein a double specification limit.6.1.7 Sampling PlansA sampling plan is a procedurewhich specifies the number of units of product from a lot whichare to be inspected, and the criterion for acceptability of the lot.Sampling plans designated in this practice are applicable to theinspection of a singl
46、e quality characteristic of a unit of product.These plans may be used whether procurement inspection isperformed at the plant of a prime contractor, subcontractor orvendor, or at destination, and also may be used when appro-priate in supply and storage, and maintenance inspectionoperations.6.2 Class
47、ification of Defects:6.2.1 Method of Classifying DefectsA classification ofdefects is the enumeration of defects of the unit of productclassified according to their importance. A defect is a deviationof the unit of product from requirements of the specifications,drawings, purchase descriptions, and
48、any changes thereto in thecontract or order. Defects normally belong to one of thefollowing classes; however, defects may be placed in otherclasses.6.2.1.1 Critical DefectsA critical defect is one that judg-ment and experience indicate could result in hazardous orunsafe conditions for individuals us
49、ing or maintaining theproduct; or, for major end items units of product, such as ships,aircraft, or tanks, a defect that could prevent performance oftheir tactical function.6.2.1.2 Major DefectsA major defect is a defect, otherthan critical, that could result in failure, or materially reducethe usability of the unit of product for its intended purpose.6.2.1.3 Minor DefectsA minor defect is one that does notmaterially reduce the usability of the unit of product for itsintended purpose, or is a departure from established standardshaving no significant beari
