GB/T 2828.2-2008Sampling procedures for inspection by attributes -- Part 2: Sampling plans indexed by limiting quality (LQ) for isolated lot inspection (English PDF)
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Issued by
General Administration of Quality Supervision, Inspection and Quarantine
Level / Type
National · Recommended
Issue date
July 28, 2008
Implementation date
January 1, 2009
Scope
GB/T 2828.2-2008 (Sampling procedures for inspection by attributes -- Part 2: Sampling plans indexed by limiting quality (LQ) for isolated lot inspection) is available as an English-translated PDF.
GB/T 2828.2-2008 — GB/T 2828.2 is sampling system for inspection by attributes indexed by limiting quality (LQ). This sampling system is used for isolated lot (isolated sequential lot, isolated lot or single lot) inspection.
The transfer rule in GB/T 2828.1 is not applicable here. The sampling plan provided in this Part of GB/T 2828 serves as a supplement to GB/T 2828.1; it is also compatible with GB/T 2828.1.
In this Part of GB/T 2828, the sampling plan is indexed by limiting quality (LQ) of priority sequence. Consumer's risks are lower than 13% under two circumstances, other than this, they are generally lower than 10%.
This indexing method is more convenient than the special procedure of limiting quality protection in GB/T 2828.1. NOTE. the sampling plans in GB/T 2828.1 are indexed in accordance with inspection level and the priority sequence of AQL.
In the inspection of continuous lots, the application of the transfer rule can ensure that the process average in the series lot is lower than the appointed AQL.
However, limiting quality and process average do not have similar direct relations. This Part of GB/T 2828 was initially designed for the inspection of disqualified products.
Except from the circumstance with excessively large LQ value, it may also be applied to the inspection of the number of disqualified products per 100 units. If this Part of GB/T 2828 is not suitable, user may refer to the special procedure of limiting quality protection in 12.6.2 in GB/T 2828.1.
This Part of GB/T 2828 provides the following two modes. Choose one of them in accordance with the demands. a) Mode A When the producer and the consumer consider lot as isolated lot for inspection, this procedure shall be adopted.
In other words, the uniqueness of lot lies in the production of lot by its type. b) Mode B When the producer believes that it is continuous sequential lots, while the consumer accepts in accordance with isolated lot, this procedure shall be adopted.
In other words, the consumer merely accepts one lot (or only a few lots) in continuous sequential lots. Mode B is provided in Appendix A.
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Document preview — GB/T 2828.2-2008
National Standard of the People's Republic of China
- ICS
- 03.120.30
- Classification
- A 41
Issued by: General Administration of Quality Supervision, Inspection and Quarantine
Contents
- Foreword...3
- 1 Scope...6
- 2 Normative References...7
- 3 Terms, Definitions and Symbols...7
- 4 Selection of Sampling Plans...8
- 5 Acceptance and Rejection...19
- 6 Examples Illustrating the Application of Mode A...20
- 7 Additional Information...20
- Appendix A (normative) Mode B Sampling Plan...23
- Appendix B (informative) Relations between GB/T 2828.2 and GB/T 2828.149
- Appendix C (informative) Double and Multiple Sampling Plans...51
- Bibliography...54
Foreword
GB/T 2828 Sampling Procedures for Inspection by Attributes currently includes the
following parts. The expected structures, corresponding international standards, and
national standards that will be replaced are as follows.
---Part 1.Sampling Schemes Indexed by Acceptance Quality Limit (AQL) for Lot-
by-lot Inspection (ISO 2859-1.1999, IDT; replacing GB/T 2828-1987)
---Part 2.Sampling Plans Indexed by Limiting Quality (LQ) for Isolated Lot
Inspection (ISO 2859-2.1985, NEQ; replacing GB/T 15239-1994)
---Part 3.Skip-lot Sampling Procedures (ISO 2859-3.2005, IDT; replacing GB/T
13263-1991)
---Part 4.Procedures for Assessment of Declared Quality Levels (ISO 2859-
4.2002, MOD; replacing GB/T 14437-1997 and GB/T 14162-1993)
---Part 5.System of Sequential Sampling Plans Indexed by Acceptance Quality
Limit (AQL) for Lot-by-lot Inspection (ISO 2859-5.2005)
---Part 10.Introduction to the GB/T 2828 Series of Standards for Sampling for
Inspection by Attributes (ISO 2859-10.2006)
---Part 11.Procedures for Assessment of Declared Quality Levels for Small
Population (replacing GB/T 15482-1995)
This is the 2nd part of GB/T 2828.It provides sampling plans indexed by limiting quality
(LQ). AQL index cannot be directly used. This is the main difference from the special
procedures for limiting quality protection provided in GB/T 2828.1.This Part of GB/T
2828 complies with the following design principles.
---Sampling plans indexed by LQ can be found from sampling plans indexed by
AQL in ISO 2859-1.
---The priority sequences of LQ index and AQL index are different, so to avoid
confusion.
---As long as it is possible, the following five basic parameters that are associated
with single sampling plan shall emerge in the same table. lot size, sample size,
acceptance number, producer's risk quality, or AQL, LQ.
The consistency degree between this Part of GB/T 2828 and ISO 2859-2.1985
Sampling Procedures for Inspection by Attributes - Part 2.Sampling Plans Indexed by
Limiting Quality (LQ) for Isolated Lot Inspection is non-equivalent. In order to maintain
the standard advanced and time-effective, this Part adopts all the technical content
based on the amendment of ISO/2859-2.1985 by ISO 2859-2.2004 (CD). This Part
serves as a replacement of GB/T 15239-1994.In comparison with ISO 2859-2.1985
and GB/T 15239-1994, this Part has the following main differences in technical content.
a) In order to emphasize Procedure A, the sampling plan of Mode B is
considered as normative appendix A.
b) In order to enhance the practicability of the standard, Table 3, Table 7, Table
8, Table A.11, Table A.12, Table C.1 and Table C.2 are added to this Part of
GB/T 2828.
c) Items in Table A.1 to Table A.10, which are corresponding with Table B.1 to
Table B.10 (and Table 2 to Table 11 in GB/T 15239-1994) in ISO 2859-2.1985
are adjusted, so as to provide more information to the application of Mode B.
d) The complete operating curve (OC) graphs regarding sampling plans in Table
A.1 to Table A.10 are re-calculated and re-drawn.
Except from the above differences, the differences between this Part of GB/T 2828
and GB/T 15239-1994 also include.
e) GB/T 15239-1994 was formulated through the reference of ISO 2859-2.1985.
This Part adopts all the technical content based on the amendment of
ISO/2859-2.1985 by ISO 2859-2.2004 (CD). In addition, in accordance with
the requirements in GB/T 1.1, the standard text is re-drafted.
f) Terms and definitions are reduced from 32 to 2; the latest expressions in ISO
3534-2 are adopted.
g) The inspection procedure in GB/T 15239-1994 is deleted.
h) Appendix A (reference) in GB/T 15239-1994 is deleted.
In this Part, Appendix A, which provides sampling plans for Procedure B, is normative;
Appendix B, which provides the relations between this Part and the first part of GB/T
2828, is informative; Appendix C, which provides double and multiple sampling plans
for isolated lot inspection, is informative.
This Part was proposed by China National Institute of Standardization.
This Part shall be under the jurisdiction of National Technical Committee on Application
of Statistical Methods of Standardization Administration of China.
The drafting organizations of this Part. Army Engineering University of PLA; China
National Institute of Standardization; Academy of Mathematics and Systems Science
Chinese Academy of Sciences; Fuzhou CHUNLUN Tea Industry Co., Ltd.
1 Scope
GB/T 2828.2 is sampling system for inspection by attributes indexed by limiting quality
(LQ). This sampling system is used for isolated lot (isolated sequential lot, isolated lot
or single lot) inspection. The transfer rule in GB/T 2828.1 is not applicable here. The
sampling plan provided in this Part of GB/T 2828 serves as a supplement to GB/T
2828.1; it is also compatible with GB/T 2828.1.
In this Part of GB/T 2828, the sampling plan is indexed by limiting quality (LQ) of priority
sequence. Consumer's risks are lower than 13% under two circumstances, other than
this, they are generally lower than 10%. This indexing method is more convenient than
the special procedure of limiting quality protection in GB/T 2828.1.
NOTE. the sampling plans in GB/T 2828.1 are indexed in accordance with inspection level
and the priority sequence of AQL. In the inspection of continuous lots, the
application of the transfer rule can ensure that the process average in the series
lot is lower than the appointed AQL. However, limiting quality and process average
do not have similar direct relations.
This Part of GB/T 2828 was initially designed for the inspection of disqualified products.
Except from the circumstance with excessively large LQ value, it may also be applied
to the inspection of the number of disqualified products per 100 units. If this Part of
GB/T 2828 is not suitable, user may refer to the special procedure of limiting quality
protection in 12.6.2 in GB/T 2828.1.
This Part of GB/T 2828 provides the following two modes. Choose one of them in
accordance with the demands.
a) Mode A
When the producer and the consumer consider lot as isolated lot for
inspection, this procedure shall be adopted. In other words, the uniqueness
of lot lies in the production of lot by its type.
b) Mode B
When the producer believes that it is continuous sequential lots, while the
consumer accepts in accordance with isolated lot, this procedure shall be
adopted. In other words, the consumer merely accepts one lot (or only a few
lots) in continuous sequential lots. Mode B is provided in Appendix A.
2 Normative References
Through the reference in this Part of GB/T 2828, clauses of the following documents
become clauses of this Part. In terms of references with a specific date, all the
subsequent modification sheets (excluding the corrected content) or the revised
editions are not applicable to this Part. However, all parties that reach an agreement
in accordance with this Part are encouraged to explore the possibility of adopting the
latest version of these documents. In terms of references without a specific date, the
latest version is applicable to this Standard.
GB/T 2828.1-2003 Sampling Procedures for Inspection by Attributes – Part 1.
Sampling Schemes Indexed by Acceptance Quality Limit (AQL) for Lot-by-lot
Inspection (ISO 2859-1.1999, IDT)
3 Terms, Definitions and Symbols
3.1 Terms and Definitions
The following terms and definitions are applicable to this Part.
3.1.1 Limiting quality
In isolated lot sampling inspection, in order to conduct acceptance sampling inspection,
the inspection must be restricted in the quality level with a low acceptance probability.
[ISO 3534-2.2006, 4.6.13]
3.2 Symbols
Symbols used in this Part of GB/T 2828 are as follows.
Ac acceptance number
Ac0 acceptance number in single sampling plan
AQL acceptance quality limit
CRQ consumer's risk quality
4 Selection of Sampling Plans
4.1 General Rules
When this Part of GB/T 2828 is quoted in contract or specification, unless it is explicitly
stipulated that Mode B in Appendix B shall be adopted, otherwise, Mode A stipulated
in Chapter 4 and Chapter 5 shall be adopted.
Before acceptance sampling, the following procedure shall be followed.
4.2 Mode A
In accordance with lot size and limiting quality (LQ), determine the adopted sampling
plan.
4.3 Selection of Limiting Quality LQ
In GB/T 2828.1, AQL provides producer with guidance on quality level or lot quality that
is expected to be accepted with high probability. Unlike AQL, limiting quality LQ cannot
provide the consumer with reliable guidance on the actual quality of the accepted lot.
For this reason, limiting quality should actually be selected to be 3 times minimum of
the expected quality.
4.4 Selection of Acceptance Levels
If Mode B is selected, acceptance level will be needed. Unless it is otherwise stipulated,
acceptance level-II shall be adopted.
4.5 Indexing of Sampling Plans
4.5.1 Mode A
When Mode A is adopted, sampling plan shall be determined by lot size and limiting
quality. The adopted sample size (n) and acceptance number Ac, lot size and the
stipulated limiting quality LQ may be found from Table 1.
4.5.2 Two or multiple types of LQ
Sometimes, two or multiple types of LQ might be appointed to different quality
characteristics. The above-mentioned procedure will lead to different sample sizes. If
it is appointed or approved by the responsible department, maximum sample size and
corresponding acceptance number may be adopted together in all the levels. It shall
be noted that the consumer's (all) risks will not increase with the application of two or
multiple types of LQ.
5 Acceptance and Rejection
5.1 Sample Extraction
Samples shall be extracted from a lot through a simple and random sampling method.
When lot is divided into sub-lot or layer in accordance with a certain reasonable
criterion, in terms of representative samples, sample units of the required quantity shall
be extracted through the above-mentioned (simple and random sampling) method in
accordance with the proportion of unit products in the sub-lot or the layer.
5.3 Disposition of Rejected Lot
Disposition of rejected lot shall obtain consent from all the relevant parties in advance.
5.4 Disqualified Products
If a lot is accepted, reserve the right of rejecting any disqualified products found during
the inspection, whether they are a part of the sample or not.
5.5 Re-submission of Lot
Rejected lots cannot be re-submitted for inspection, unless.
6 Examples Illustrating the Application of Mode A
A bookcase retailer wants to purchase a set of screws as accessories to the self-
assembled bookcases that he sells. He prefers 10 screws packed in one box and
allows 1 (%) boxes with insufficient number of screws. However, he is unwilling to
accept the risk of an excessively high defective rate. He plans to purchase 5,000 boxes
of screws (with 1,250 boxes in one lot).
7 Additional Information
7.1 Primary Table
The sampling plan in Table 1 is based on the hypothesis of random sampling from
limited lot, so as to satisfy the producer's risk and the consumer's risk determined by
the plan.
7.2 Auxiliary Tables
7.2.1 Table 8 and Table 9
Table 8 and Table 9 provide the joint additional information of Mode A and Mode B.
When the stipulated limiting quality is non-priority value, Table 8 may be adopted to
convert it to the required priority limiting quality value (see 4.3).
When lot size is excessively large, Table 9 provides the correspondence between
limiting quality LQ and the consumer's risk quality CRQ interval. The maximum value
of each interval is also applicable to small lot size.
7.2.2 Table 2 ~ Table 7
Table 2 ~ Table 7 provide addition information of Mode A.
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This preview omits tables, figures, formulas and parts of the technical clauses. The complete document — 54 pages — is available in the English PDF.
Referenced standards
Normative references
GB/T 2828 · ISO 2859
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Related Standards
GB/T 2828.1-2012 — Sampling procedures for inspection by attributes - Part 1: Sampling schemes indexed by acceptance quality limit (AQL) for lot-by-lot inspection
GB/T 2828.10-2010 — Sampling procedures for inspection by attributes -- Part 10: Introduction to the GB/T 2828 series of standards for sampling for inspection by attributes
GB/T 2828.11-2008 — Sampling procedures for inspection by attributes Part 11: Procedures for assessment of declared quality levels for small population
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