GB/T 40796-2021Corrosion of metals and alloys - Guidelines for applying statistics to analysis of corrosion data (English PDF)
金属和合金的腐蚀 腐蚀数据分析应用统计学指南
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Issued by
State Administration for Market Regulation, China National Standardization Administration
Level / Type
National · Recommended
Issue date
October 11, 2021
Implementation date
May 1, 2022
Scope
GB/T 40796-2021 is the English-translated version of 金属和合金的腐蚀 腐蚀数据分析应用统计学指南.
GB/T 40796-2021 — This document provides guidance on certain generally accepted statistical analysis methods that can be used to interpret corrosion test results.
This document applies to statistical methods that are widely accepted in corrosion testing. This document does not include detailed calculations and methods, but considers a series of methods that have been used in corrosion tests.
Note. Appendix C gives a calculation example of the statistical analysis methods involved in the article.
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Document preview — GB/T 40796-2021
National Standard of the People's Republic of China
- Classification
- H 25
Issued by: State Administration for Market Regulation, China National Standardization Administration
Contents
- 1 Scope1
- 2 Normative references1
- 3 Terms and definitions1
- 4 Significance and use1
- 5 Scattered data1
- 5.1 Distribution1
- 5.2 Histogram1
- 5.3 Normal distribution2
- 5.4 Normal Probability Paper2
- 5.5 Other probability paper2
- 5.6 Unknown distribution3
- 5.7 Extreme Value Analysis3
- 5.8 Significant number of digits3
- 5.9 Propagation of variance3
- 5.10 Error3
- 6 Main metric3
- 6.1 Average3
- 6.2 Median4
- 6.3 Note4
- 7 Measures of variability4
- 7.1 Overview4
- 7.2 Variance4
- 7.3 Standard deviation5
- 7.4 Coefficient of variation5
- 7.5 Very Poor5
- 7.6 Precision5
- 7.7 Bias6
- 8 Statistical Test6
- 8.1 Null hypothesis6
- 8.2 Degrees of freedom6
- 8.3 t test6
- 8.4 F inspection8
- 8.5 Correlation coefficient8
- 8.6 Sign check8
- 8.7 External enumeration inspection9
- 9 Curve fitting---least squares method9
- 9.1 Minimizing variance9
- 9.2 Linear regression - 2 variables9
- 9.3 Polynomial regression10
- 9.4 Multiple regression10
- 10 Analysis of Variance10
- 10.1 Impact comparison10
- 10.2 Two-level factorial design10
- 11 Extreme value statistics10
- 11.1 Extremum statistical range10
- 11.2 The Gumbel distribution and its probability paper11
- 11.3 Estimation of distribution parameters12
- 11.3.1 Data collection12
- 11.3.2 Estimation of distribution parameters12
- 11.3.3 The probability distribution of xmax and the probability of perforation13
- 11.3.4 Estimate the deviation of xmax from the distribution14
- 11.4 Report14
- 11.5 Other content15
- 11.5.1 Sample size15
- 11.5.2 Censored samples15
- 11.5.3 Other methods of estimating distribution parameters15
- Appendix A (informative) Structural changes of this document compared with ISO 14802.201247
- Appendix B (informative) Technical differences, editorial changes and reasons between this document and ISO 14802.201248
- Appendix C (informative) Calculation example50
- Reference65
Foreword
This document is in accordance with the provisions of GB/T 1.1-2020 "Guidelines for Standardization Work Part 1.Structure and Drafting Rules of Standardization Documents"
Drafting.
This document uses the redrafting method to amend and adopt ISO 14802.2012 "Corrosion and Corrosion Data Analysis of Metals and Alloys and Applied Statistics
guide".
Compared with ISO 14802.2012, this document has many structural adjustments. Appendix A lists this document and ISO 14802.2012.
The structural adjustment control checklist.
Compared with ISO 14802.2012, this document has technical differences.
The set vertical single line (|) is marked, and Appendix B gives a list of corresponding technical differences, editorial changes and their reasons.
1 Scope
This document provides guidance on certain generally accepted statistical analysis methods that can be used to interpret corrosion test results.
This document applies to statistical methods that are widely accepted in corrosion testing.
This document does not include detailed calculations and methods, but considers a series of methods that have been used in corrosion tests.
Note. Appendix C gives a calculation example of the statistical analysis methods involved in the article.
2 Normative references
There are no normative references in this document.
3 Terms and definitions
There are no terms and definitions that need to be defined in this document.
4 Significance and use
Due to the influence of various factors, the corrosion test results are usually more dispersive than other types of tests, for example, a small amount of impurities can significantly affect
Affect the corrosion rate. Statistical analysis can help researchers interpret these results, especially when it is necessary to determine whether the two sets of test results are significant.
In the case of sexual differences. When the test involves multiple materials, the difficulty of the test will increase, but statistical methods can provide a reasonable solution to this problem.
Deciding method.
The combination of modern data reduction programs and computers can make it easier for people to perform complex statistical analysis on data sets. because
Therefore, statistical analysis can make it easier for researchers to determine whether there is an association between different variables, and if so, then further develop
Develop quantitative expressions related to variables.
In analyzing various quantitative results, statistical evaluation is a necessary step. This analysis can estimate the confidence interval from the measurement results.
5 Data fragmentation
5.1 Distribution
When the measured value is related to metal corrosion, various factors will cause the actual measured value to deviate from the expected value. Generally speaking, the measured value is scattered
The factor of more or less acts in a random manner, and the average of several measured values is closer to the expected value than a single measured value. Data dispersion model
The formula is called distribution, and various distributions are observed in corrosion, such as normal distribution, lognormal distribution, binomial distribution, Poisson distribution, and extreme value points.
Cloth (including Gumbel and Weibull distributions).
5.2 Histogram
Bar graphs (called histograms) can be used to show data dispersion. Construction of histogram. divide the range of data values into phases on the abscissa
Equal intervals, and then place bars with a height equal to the number of samples in the interval in each interval. The formula for calculating the number of groups k is shown in formula (1).
......
This preview omits tables, figures, formulas and parts of the technical clauses. The complete document — 116 pages — is available in the English PDF.
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