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GBZ24636.4-2009: Geometrical Product Specifications (GPS) -- Statistical tolerance -- Part 4: Statistical tolerance design based on given confidence levels
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| Standard ID | Contents [version] | USD | STEP2 | [PDF] delivered in | Standard Title (Description) | Status | PDF |
| GB/Z 24636.4-2009 | English | 439 |
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Geometrical Product Specifications (GPS) -- Statistical tolerance -- Part 4: Statistical tolerance design based on given confidence levels
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GB/Z 24636.4-2009
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Basic data | Standard ID | GB/Z 24636.4-2009 (GB/Z24636.4-2009) | | Description (Translated English) | Geometrical Product Specifications (GPS) -- Statistical tolerance -- Part 4: Statistical tolerance design based on given confidence levels | | Sector / Industry | National Standard | | Classification of Chinese Standard | J04 | | Classification of International Standard | 17.040.10 | | Word Count Estimation | 19,186 | | Date of Issue | 2009-11-15 | | Date of Implementation | 2010-09-01 | | Quoted Standard | GB/Z 20308 | | Regulation (derived from) | ?National Standard Approval Announcement 2009 No.13 (Total No.153) | | Issuing agency(ies) | Ministry of Health of the People's Republic of China | | Summary | This standard specifies a given confidence level based on statistical tolerance related terms, symbol, calculation and design methods. This section applies to linear dimensions of statistical process control applications. Especially those with a high tolerance level with the size, also apply to have bilateral specification limits and quality characteristics of metrological applications of statistical process control. | GBZ24636.4-2009: Geometrical Product Specifications (GPS) -- Statistical tolerance -- Part 4: Statistical tolerance design based on given confidence levels
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Geometrical Product Specifications (GPS). Statistical tolerance. Part 4. Statistical tolerance design based on given confidence levels
ICS 17.040.10
J04
People's Republic of China national standardization of technical guidance documents
Product Geometry Specifications (GPS)
Statistical tolerance
Part 4. based on a given level of confidence
Statistical tolerance design
Posted.2009-11-15
2010-09-01 implementation
General Administration of Quality Supervision, Inspection and Quarantine of People's Republic of China
China National Standardization Administration released
Directory
Preface Ⅰ
1 Scope 1
2 Normative references 1
3 basic concepts 1
3.1 Statistical parameters of the point estimate 1
3.2 Confidence intervals based on statistical parameters for a given confidence level
3.3 Estimated statistical tolerance 4
4 Confidence intervals of process quality indicators based on a given confidence level 5
Appendix A (Normative) Statistical tolerance design and application example based on a given level of confidence 6
Appendix B (Informative) Estimated value under certain conditions C ^ p and 犽 ^ statistical tolerance Table 9
Appendix C (informative) statistical process control process average and standard deviation of the three representations 14
Appendix D (Informative) Location in GPS Matrix Model 15
Foreword
GB /Z24636 "Product Geometrical Specifications (GPS) Statistical Tolerance" is divided into the following five parts.
--- Part 1. Terms, definitions and basic concepts;
--- Part 2. statistical tolerance values and their designations;
--- Part 3. Part Lot (process) of the statistical quality indicators;
--- Part 4. statistical tolerance design based on a given level of confidence;
--- Part 5. Assembly batch (hole, shaft with) the statistical quality indicators.
This section GB /Z24636 Part 4.
This part of the Appendix A normative appendix, Appendix B, Appendix C and Appendix D is an informative annex.
This part of the National Product Size and Geometry Technical Standardization Technical Committee proposed and centralized.
This section is drafted. Shandong University of Technology, Machine Productivity Promotion Center, Zhejiang Asia-Pacific Mechanical and Electrical Co., Ltd., Zhengzhou University, in
Former Institute of Technology, Xi'an Jiaotong University.
The main drafters of this section. Zhang Yu, Xiong Xi, Huang Guoxing, Zhang Linna, Zhao Zexiang, King Wei Xuan.
Product Geometry Specifications (GPS)
Statistical tolerance
Part 4. based on a given level of confidence
Statistical tolerance design
1 Scope
This section GB /Z 24636 specifies the terms, symbols, formulas and design related statistical tolerance based on a given level of confidence
method.
This section applies to the linear size of the application of statistical process control, especially with a higher tolerance level with the size; also applies to
Bilateral specification limits and the application of statistical process control metrology quality characteristics.
2 Normative references
The following documents contain provisions which, through reference in this part of GB /Z24636, become the provisions of this section. Any reference to the date of the citation
All subsequent amendments (not including errata content) or revisions do not apply to this section, however, encouraged to be reached under this section
The parties to the agreement examine whether the latest versions of these documents are available. For undated references, the latest version applies to this book
section.
GB /Z20308 Geometrical product specifications (GPS) master plan (GB /Z20308-2006, ISO /T R14638..1995,
MOD)
3 basic concepts
3.1 Statistical parameters of the point estimate
C ^ p = USL-LSL
6σ ^
= T
6σ ^
(1)
Note. The standard deviation estimate σ ^ can be calculated according to the type of control chart of the data source in one of three ways, see Appendix C.
3.1.2 Process Offset 点 The estimated value of the relevant parameter 犽 ^
If the overall mean of the estimated μ ^ (or 狓
=) Instead of the theoretical value μ in the formula of 犽, the resulting estimate (or point estimate) 犽 ^.
犽 ^ = μ ^ -MT/2 =
狓 = -M
T/2 =
2Δ ^
(2)
Where.
M --- tolerance zone center value;
Δ ^ --- The estimate of the overall mean μ ^ (or 狓
=) Offset to M
3.2 Confidence intervals based on statistical parameters for a given confidence level
3.2.1 Confidence intervals of the process mean μ based on a given confidence level of 100 (1-α)%
3.2.1.1 Standard deviation known situation
The confidence interval for obtaining the population mean μ with a certain confidence probability of 1-α is as follows.
Bilateral 100 (1-α)% confidence interval.
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