This standard specifies the procedures and implementation methods for the metrological standard type single sampling inspection with mean value and defective product rate as quality indicators. This standard is applicable to the inspection of product quality characteristics expressed by measurement values ​​and subject to or approximately subject to normal distribution. This standard is integrated from GB/T8054-1995 "Metrological standard type single sampling inspection procedures and tables for average value" and GB/T8053-2001 "Metrological standard type single sampling inspection procedures and tables for defective product rate". This standard replaces GB/T8054-1995 "Metrological standard type single sampling inspection procedures and tables for average value" and GB/T8053-2001 "Metrological standard type single sampling inspection procedures and tables for defective product rate". GB/T 8054-2008 Standard Single Sampling Inspection Procedure and Tables GB/T8054-2008 Standard Download Decompression Password: www.bzxz.net
This standard specifies the procedure and implementation method of standard single sampling inspection with mean and non-conforming product rate as quality indicators. This standard is applicable to the inspection of product quality characteristics expressed by measurement values ​​and obeying or approximately obeying normal distribution.
This standard is integrated from GB/T8054-1995 "Standard Single Sampling Inspection Procedure and Tables for Average Value" and GB/T8053-2001 "Standard Single Sampling Inspection Procedure and Tables for Non-conforming Product Rate".
This standard replaces GB/T8054-1995 "Standard Single Sampling Inspection Procedure and Tables for Average Value" and GB/T8053-2001 "Standard Single Sampling Inspection Procedure and Tables for Non-conforming Product Rate".
When the expected characteristic value is high (given the lower specification limit), change to given the lower specification limit (expected characteristic value is high) When the
expected characteristic value is within a certain range (given the bilateral specification limit), change to given the bilateral specification limit (expected characteristic value is within a certain range)
Appendix A and Appendix B of this standard are normative appendices, and Appendix C, Appendix D and Appendix E are informative appendices.
This standard is under the jurisdiction of the National Technical Committee for Standardization of Statistical Method Application (SAC/TC21).
Drafting organizations of this standard: China National Institute of Standardization, Guangzhou Product Quality Supervision and Inspection Institute, Hainan Product Quality Supervision and Inspection Institute, Wuxi Product Quality Supervision and Inspection Institute, Beijing University of Technology.
Main drafters of this standard: Yu Zhenfan, Deng Suixing, Ding Wenxing, Dang Hua, Chen Lijian, Huang Yan, Wu Jianguo, Chen Huaying, Yu Shanqi.
The previous versions of the standards replaced by this standard are:
---GB/T8053-1987, GB/T8053-2001;
---GB/T8054-1987, GB/T8054-1995.
The clauses in the following documents become the clauses of this standard through reference in this standard. For all dated referenced documents, all subsequent amendments (excluding errata) or revisions are not applicable to this standard. However, the parties who reach an agreement based on this standard are encouraged to study whether the latest versions of these documents can be used. For all undated referenced documents, the latest versions are applicable to this standard.
GB/T4091 Conventional control charts (GB/T4091-2001, idt, ISO8258:1991)
GB/T4883 Statistical processing and interpretation of data Judgment and processing of outliers in normal samples
GB/T19000-2000 Quality management system fundamentals and vocabulary (idtISO9000:2000)
GB/T10111 Generation of random numbers and their use in product quality sampling inspection
ISO3534-1:2006 Statistical terminology Part 1: General statistical terms and terms used in probability
ISO3534-2:2006 Statistical terminology Part 2: Applied statistics
Foreword I
1 Scope 1
2 Normative references 1
3 Terms, definitions and symbols 1
3.1 Terms and definitions 1
3.2 Symbols 3
4 Sampling inspection with mean as quality indicator 4
4.1 Sampling inspection procedure 4
4.2 Implementation of sampling inspection 4
4.3 Example of determining sampling plan 6
4.4 Sampling table 9
5 Sampling inspection with defective rate as quality indicator 19
5.1 Sampling inspection procedure 19
5.2 Implementation of sampling inspection 19
5.3 Application example 21
5.4 Sampling table 22
Table 1 Sample size and acceptance constant of one-sided specification limit σ method (with mean as quality indicator) 9
Table 2 Sample size and acceptance constant of the two-sided specification limit σ method (with the mean as the quality indicator) 10
Table 3 Sample size and acceptance constant of the one-sided specification limit s method (with the mean as the quality indicator) 14
Table 4 Sample size and acceptance constant of the two-sided specification limit s method (with the mean as the quality indicator) 15
Table 5 Sample size and acceptance constant of the one-sided specification limit σ method (with the rate of defective products as the quality indicator) 23
Table 6 Sample size and acceptance constant of the two-sided specification limit σ method (with the rate of defective products as the quality indicator) 25
Table 7 Sample size and acceptance constant of the s method (with the rate of defective products as the quality indicator) 32
Appendix A (Normative Appendix) Inspection method for product quality stability 34
Appendix B (Normative Appendix) Estimation method of batch standard deviation 36
Appendix C (Informative Appendix) Sampling characteristic function (with mean as quality indicator) 37
Appendix D (Informative Appendix) Sampling characteristic function (with defective product rate as quality indicator) 38
Appendix E (Informative Appendix) Table of percentile values ​​of commonly used defective product rates 39

ICS 03. 120. 30
National Standard of the People's Republic of China
GB/T8054--2008
Replaces GB/T8053-2001
GB/I ​​8054-1995
Single sampling procedures and tables for inspection having desired operating characteristics by variablesIssued on 2008-07-16
General Administration of Quality Supervision, Inspection and Quarantine of the People's Republic of ChinaAdministrative Committee of Standardization of the People's Republic of China
Implementation on 2009-01-01
GB/T 8054--2008
1 Scope
2 Normative references
3 Terms, definitions and symbols
3. 1 Terms and definitions…
3.2 Symbols…
4 Sampling inspection with mean as quality indicator
4.1 Sampling inspection procedure
4.2 Implementation of sampling inspection
Example of determining sampling plan
4.4 Sampling table
5 Sampling inspection with defective product rate as quality indicator5.1 Sampling inspection procedure
5.2 Implementation of sampling inspection
Application example·
5.4 Sampling table
Table 1 Sample size and acceptance constant of the one-sided specification limit\\ method (with the mean as the quality indicator)Table 2 Sample size and acceptance constant of the two-sided specification limit\\ method (with the mean as the quality indicator)Table 3 Sample size and acceptance constant of the one-sided specification limit"s\ method (with the mean as the quality indicator)Table 4 Sample size and acceptance constant of the two-sided specification limit5\ method (with the mean as the quality indicator)Table 5 Sample size and acceptance constant of the one-sided specification limit\ method (with the defective rate as the quality indicator)Table 6 Two-sided specification limit". \ method sample size and acceptance constant (with the defective product rate as the quality indicator) Table 7 "\ method sample size and acceptance constant (with the defective product rate as the quality indicator) ... Appendix A (normative appendix) Inspection method for product quality stability: Appendix B (normative appendix) Estimation method of batch standard deviation Appendix C (informative appendix) Sampling characteristic function (with the mean as the quality index) Appendix D (informative appendix) Sampling characteristic function (with the defective product rate as the quality index) Appendix E (informative appendix) Commonly used defective product rate percentile value table +
GB/T8054—2008
This standard is composed of GB/T80 This standard is a combination of GB/T8054-1995 "Metric Standard for Average Value - Sampling Inspection Procedure and Table" and GB/T8053-2001 "Metric Standard for Single Sampling Inspection Procedure and Table for Non-conforming Product Rate". This standard replaces GB/T8054-1995 "Metric Standard for Average Value - Sampling Inspection Procedure and Table" and GB/T8053-2001 "Metric Standard for Single Sampling Inspection Procedure and Table for Non-conforming Product Rate". Compared with G3/T8053-2001.GB/I80541995, the main changes of this standard include: 1) Correction of errors in the original standard;
U=>2. 89u1-P. —0. 89u1-1
≥2.89u1-p,—0.89u1-2, collected as
2) Change "when the expected characteristic value is low (given upper specification limit)" to "given upper specification limit (when the expected characteristic value is low)" Change "when the expected characteristic value is high (given lower specification limit)" to "given lower specification limit (when the expected characteristic value is high)" Change "when the expected characteristic value is within a certain range (given bilateral specification limit)" to "given bilateral specification limit (when the expected characteristic value is within the specified range)"
Appendix A and Appendix B of this standard are normative appendices, and Appendix C, Appendix D and Appendix E are informative appendices. This standard was prepared by the National Technical Committee for Standardization of Statistical Methods (SAC/TC2I). Drafting units of this standard: China National Institute of Standardization, Guangzhou Product Quality Supervision and Inspection Institute, Hainan Product Quality Supervision and Inspection Institute, Wuhe Product Quality Supervision and Inspection Institute, Beijing University of Technology. This standard mainly includes: Yu Zhenfan, Jiao Suixing, Ding Wenxing, Dang Hua, Chen Lijian, Huang Yan, Hao Jianguo, Chen Huaying, Yu Jingqi. The previous versions of the standards replaced by this standard are: GB/T 8053-1987, GB/T 8053-2001:----GB/T 8054-1987, GB/T 8054-1995.T
1 Scope
Metrological standard type single sampling inspection procedures and sampling tables GB/T8054-2008
This standard specifies the procedures and implementation methods of metrological standard type-sampling inspection with mean value and defective product rate as quality indicators. This standard is applicable to the inspection of product quality characteristics expressed by measurement values ​​and obeying or approximately obeying the state distribution. This standard stipulates that the risk of the producer is a=U.05, and the risk of the user is β=0.102 Normative references
The clauses in the following documents become the clauses of this standard through reference in this standard. For all referenced documents with dates, all subsequent amendments (excluding the contents of errors) or revisions are not applicable to this standard. However, the parties who reach an agreement based on this standard are encouraged to study whether the latest versions of these documents can be used. For all referenced documents without dates, the latest versions are applicable to this standard. GB/T4091 Conventional control chart (GB/T4091-2001, idt, 1SQO8258:1991) GB/T1883 Statistical processing and interpretation of data Judgment and processing of outliers in normal samples G13/T190002000 Quality management system fundamentals and vocabulary (idt1S09000:2000) GB/T10111 Generation of random numbers and their application in sampling inspection of product quality ISO 3534-1:2006 Statistical terminology Part 1: General statistical terms and terms used in probability IS03534-2:2006 Statistical terminology Part 2: Applied statistics 3 Terms and definitions, symbols
The terms, definitions and symbols determined by IS03534-1:2006, 1S03531-2:2006 and GB/T19000-2000 and the following terms, definitions and symbols apply to this standard. 3. 1 Terms and definitions
Unit of product
Basic unit of product for sampling inspection. 3. 1. 2
Inspection lot
A batch of products collected for sampling inspection. (Abbreviation: batch) 3. 1.3
variables qualily characteristic
Quality characteristic of the unit product under inspection that can be measured by a continuous scale. 3. 1. 4
Sampling inspection by variables The process of randomly selecting a certain number of unit products from a batch according to a specified sampling plan. The values ​​of their quality characteristics are obtained by measurement, testing or other methods, compared with the quality requirements, and judging whether the batch of products can be accepted. 3. 1. 5
Singlesamplingiaspection The process of deciding whether to accept the batch based on the inspection results of a sample taken from the batch at one time. LISO 3534-2:2006,4. 4]
GB/T 8054—2008
[Operating characteristic curveE of a sampling inspection plan] For a given sampling plan, it is a curve that shows the functional relationship between the probability of batch acceptance and the batch quality level. 3. 1.7
conformity
Meeting specified requirements.
Qualified qualityconforrnityqualily
Quality level that meets specified requirements. In sampling inspection, it corresponds to two determined, higher acceptance probabilities and is considered satisfactory batch levels.
Limiting quality
For isolated batches, for sampling inspection, it is limited to a quality level with a low acceptance probability. 3.1.10
Producer's risk;PRFor a given sampling plan, the probability of rejection when the batch quality level (e.g., defective product rate) is a specified acceptable value. 3.1.11
Consumer's risk consumer's risk; cR
For a given sampling plan, the probability of acceptance when the batch level (e.g., defective product rate) is a specified unsatisfactory value. 3.1.12
Standard type sampling inspection sampling inspection having desired operating characteristics sampling inspection in which the producer's risk and the user's risk are fixed to a certain value in order to protect the interests of both producers and users. 3.1.13
sampling plan sampling plan
A specific plan that specifies the sample size and related acceptance criteria. 3.1.14
sampling inspection typcs
sampling inspection types
When determining the sampling plan, the sampling inspection categories are divided according to whether the batch standard deviation is known or unknown. This standard is divided into two types of sampling inspection. 3.1.15
\\method "g"method
A method to determine whether a batch is acceptable by using the sample mean and the batch standard deviation when the batch standard deviation is known. 3.1.16
\g\method "g"method
A method to determine whether a batch is acceptable by using the sample mean and the sample standard deviation when the batch standard deviation is known. 3.1.17
Acceptance constant acceptance constant; acceptanceconslanu In the acceptance criteria of metrological acceptance sampling, a constant determined by the acceptable quality level and the sample size used to determine whether a batch is acceptable.
[1S0 3534-2,2006,4.26]
inspection cases
The inspection cases are determined by the required quality specification limits. This standard has three types of upper specification limit, lower specification limit and double specification limit. 3.1.19
Specification limitspecification limit
The limit value for judging whether a unit product is qualified. 3.1.20
Upper specification limitpper specification limitThe maximum limit value of the quality characteristic allowed for a qualified unit product. 3.1.21
lower specification limitlower specification limitThe minimum limit value of the quality characteristic allowed for a qualified unit product. 3.1.22
Double specification limitdouble specification limitThe situation where both the upper specification limit and the lower specification limit are specified. 3.1.23
Quality statisticsquality statisticsGB/T B054—2008
The function composed of specification limit, sample mean and batch standard deviation (or sample standard deviation) is used to judge whether a batch can be accepted. There are two quality statistics: upper specification limit and lower specification limit.
3.2 Symbols
U: specification limit.
L: lower specification limit,
: batch defective rate. bZxz.net
. : qualified quality when the batch defective rate is the quality indicator. P: limit quality when the batch defective rate is the quality indicator. P: mean of batch quality characteristic values, referred to as batch mean. : standard deviation of batch quality characteristic values, referred to as batch standard deviation. : statistical estimate or empirical estimate of batch standard deviation. 1\oL: lower specification limit of qualified quality.
1z=lower specification limit of limit quality.
Hou: upper specification limit of qualified quality.
Production u: upper specification limit of limit quality,
“1-quantile when the upper probability of the standard normal distribution is p. Gong: unit product quality characteristic value in the sample, Gong, represents the most characteristic value of the quality of the unit product. Yuan: the average value of the sample quality characteristic value, referred to as sample mean 5: Sample standard deviation:
R: selected range,
Q: quality statistic of the upper specification limit. Among them, method: Q
a method: Qu
s method: Q!
Q. Quality statistic of the lower specification limit. Among them, a method: Q.-
F: s method: Q.-
(taking the rate of non-conforming products as the quality indicator)
(taking the mean as the quality indicator)
(taking the rate of non-conforming products as the quality indicator)
GB/T8054—2008
Main method Q
method: Q=
: Acceptance constant.
P.: Acceptance probability of the inspection batch.
a: Producer risk.
β: User risk.
n: sample size.
n: the number of samples drawn for the first trial,
Φ): the distribution function of the standard normal distribution. The density function of the standard normal distribution is:
(with the mean as the quality indicator)
T,-1(,α): the quantile of the non-central t distribution function with degree n-1 and non-central parameter , 4 Sampling test with mean as the quality indicator
4.1 Sampling test procedure
The procedure for implementing this standard is as follows:
a) Select the type of sampling test;
h) Determine the sampling test c) Specify the upper and (or) lower specification limits of qualified quality and limit quality: d) Determine the sampling plan: c) Constitute the batch and extract samples; g) Test samples and calculate results; g) Determine whether the batch can be accepted: h) Process the inspection batch. 4.2 Implementation of sampling inspection 4.2.1 Selection of sampling inspection type When the product quality is stable and there is recent quality management or sampling inspection data that can predetermine the batch standard deviation, the "." method can be used. If there is no recent data or even if there is recent data, but the quality is unstable, the "\ method" should be used. The inspection method for whether the product quality is stable can be implemented according to the provisions of Appendix A.
When the manufacturer and the user have a long-term supply contract, whether the \3\ method or the “.\ method is used, the sample mean and sample standard deviation must be recorded in the form of a control chart. In the process of applying the \” method, if the control chart shows that the sample standard deviation is in a state of statistical control, it is allowed to switch from the “” method to the “” method. If in the process of applying the “.” method, the control chart shows that the sample standard deviation is no longer in a state of statistical control, it must be immediately changed to the “.\ method. \ method is converted to "s\ method. If the control chart does not show the loss of statistical control, but shows that the batch standard deviation becomes smaller or larger, the adopted batch standard deviation value should be updated at any time: the use of control chart shall be carried out in accordance with GB/T4091. 4.2.2 Determination of sampling inspection method
This standard has three sampling inspection methods: upper specification limit, lower specification limit and double-sided specification limit. Those who adopt this standard can choose according to the different specification limits of product quality requirements. When using double-sided specification limits, the condition -u=HoL-\L must be met before the chart promoted by this standard can be applied. 4.2.3 Provisions on upper and (or) lower specification limits of qualified quality and limit quality The upper and lower specification limits of qualified quality and limit quality shall be determined by negotiation between the manufacturer and the user based on the quality requirements in the product standard. 4
4.2.4 Determination of sampling plan
4.2.4.1 "a\ method
Determine the sampling plan according to the steps listed in the table below. Working steps
“s” method
4. 2. 4. 2
Work content
Specify quality requirements
Determine the value
Search for sampling plan
Determine the sampling plan according to the steps listed in the table below. Working steps
Work content
Specify quality requirements
Estimate.
Retrieval sampling plan
4.2.5 Composition of batches and sampling
Upper specification limit
Hor: +u
Inspection method
Lower specification limit
GB/T 8054—2008
Two-sided specification limit
.. ++t.
Based on the recent 20~~25 groups of—s (or R) control chart data of production and the recent 20~25 batches of sampling inspection data, estimate according to the method in Appendix B\u- Huu
Detected from the calculated value in Table 1,
Inspection method
Upper specification limit
Lower specification limit
M_Au or \sL
From the calculated value in Table 2
Detection n
Two-sided specification limit
Pori >Agt
The manufacturer and the user negotiate the acceptable value based on past experience, and directly negotiate the appropriate trial sample size. Samples are drawn from the inspection batch, and the sample standard deviation: is used as the estimated value of the batch standard deviation.
HiuHouy
'or - u
From the calculated value in Table 3, n,
HuPot to. -'.
From the calculated value in Table 4,
Detection,
Unit products must be submitted in batches. The submitted batch may be the same as or different from the production batch, sales batch, and transportation batch, but it should consist of unit products of the same specifications and models, the same texture grade, and the same raw material composition and produced under the same process conditions. The batch size is determined by the manufacturer and the user according to the sales situation and actual production conditions. The required samples should be randomly selected from the entire batch, for example, randomly selected samples according to the method specified in GB/T10111. "\ If the trial sample estimation is adopted in the method, the trial sample size is no It should not be less than 11. After the sample size n (i1, 2, 3.…) is determined by \\=\u (or \% two) value, it should be handled according to the following different situations. a) When ni-1≥ni, randomly select the difference number ni+1-n; (i=0,1.2.) from the batch to make up for it and then make a judgment. When n≥20, no more sampling is required.
b) When ni-1≤n, no more sampling is required, that is, the sample size n is used for judgment; the acceptance constant should be the corresponding value of the trial sample size n;,
CB/T8054—2008
4.2.6 Sample testing and calculation of statistical quantities The samples drawn shall be tested and measured in accordance with the relevant documents such as product standards or order contracts. Or other methods, test each unit product in the sample one by one. The test results should be recorded completely and accurately, and the sample mean and standard deviation should be calculated. If individual abnormal data that deviates significantly from other test results of the sample are found during the test, the technical or physical reasons for the abnormal data should be found first. If the cause cannot be found, with the consent of the user, it can be judged according to GB/T4883, and then the manufacturer and the user shall negotiate and determine whether to eliminate it according to the nature of the abnormal data. After the abnormal data is eliminated, the corresponding number of unit products should be randomly selected from the inspection batch again, and the sample size required by the sampling plan should be supplemented to determine whether the inspection batch is accepted. 4.2.7 Judgment on whether the batch can be accepted
4.2.7. 1*z\ method judgment rules
a) When the upper specification limit is given, calculate
Qy -= Kou — x
If Qu, accept the batch; if Q,
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