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| GB/T 4883-2008 | English | 629 |
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Statistical interpretation of data -- Detection and treatment of outliers in the normal sample
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GB/T 4883-2008
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| GB/T 4883-1985 | English | 679 |
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Statistical interpretation of data--Detection and handling of outlying observations in normal sample
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GB/T 4883-1985
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PDF similar to GB/T 4883-2008
Basic data | Standard ID | GB/T 4883-2008 (GB/T4883-2008) | | Description (Translated English) | Statistical interpretation of data -- Detection and treatment of outliers in the normal sample | | Sector / Industry | National Standard (Recommended) | | Classification of Chinese Standard | A41 | | Classification of International Standard | 03.120.30 | | Word Count Estimation | 27,273 | | Date of Issue | 2008-07-16 | | Date of Implementation | 2009-01-01 | | Older Standard (superseded by this standard) | GB/T 4883-1985 | | Quoted Standard | GB/T 4882-2001; GB/T 19000-2000; ISO 3534-1-2006; ISO 3534-2-2006 | | Regulation (derived from) | Announcement of Newly Approved National Standards No. 12 of 2008 (No. 125 overall) | | Issuing agency(ies) | General Administration of Quality Supervision, Inspection and Quarantine of the People's Republic of China, Standardization Administration of the People's Republic of China | | Summary | This standard applies to samples from a normal distribution outliers judgment and processing. |
GB/T 4883-2008: Statistical interpretation of data -- Detection and treatment of outliers in the normal sample ---This is a DRAFT version for illustration, not a final translation. Full copy of true-PDF in English version (including equations, symbols, images, flow-chart, tables, and figures etc.) will be manually/carefully translated upon your order.
Statistical interpretation of data. Detection and treatment of outliers in the normal sample
ICS 03.120.30
A41
National Standards of People's Republic of China
Replacing GB/T 4883-1985
Statistical processing and interpretation of data
Analyzing and handling normal sample outliers
Posted 2008-07-16
2009-01-01 implementation
Administration of Quality Supervision, Inspection and Quarantine of People's Republic of China
Standardization Administration of China released
Table of Contents
Introduction Ⅲ
Introduction Ⅳ
1 Scope 1
2 Normative references 1
3 Terms, definitions and symbols 1
3.1 Terms and definitions
3.2 Symbols and abbreviations 1
4 outlier judgment 2
4.1 Origin and Analyzing 2
Three cases of outliers 4.2 2
4.3 The number of outlier detection limit value 2
4.4 Scenario 2 single outlier
4.5 Inspection Rules determining a plurality of 2 outliers
Outlier for 2 5
5.1 treatment 2
5.2 Processing Rule 3
5.3 3 record
Judgment Rule 6 Known standard deviation outlier scenario 3
6.1 General Principle 3
Judgment Rule 6.2 outliers 3
6.2.1 upper case 3
6.2.2 the lower side of the case 3
6.2.3 Bilateral Case 3
Example 6.3 using Nair (Nair) Test Method 4
Judgment Rule 7 unknown standard deviation in the case of outliers (limited number of outliers detected no more than 1) 4
7.1 General Principle 4
7.2 Grubbs (Grubbs) Test Method 4
7.2.1 upper case 4
7.2.2 the lower side of the case 4
7.2.3 Bilateral Case 5
Example 7.2.4 using Grubbs (Grubbs) Test Method 5
7.3 Dixon (Dixon) test method 5
Unilateral 7.3.1 Scenario 5
7.3.2 Bilateral Case 6
Example 6 7.3.3 Dixon (Dixon) Test Method
Judgment Rule 8 standard differential unknown circumstances outliers (limited number of outliers detected greater than 1) 6
8.1 General Principles 6
8.2 skewness - kurtosis test method 6
8.2.1 Conditions 6
8.2.2 Unilateral situation --- skewness Inspection Act 7
8.2.3 Bilateral situation --- kurtosis test method 7
Example 8.2.4 reused kurtosis test method 7
8.3 Dixon (Dixon) test method 8
Rule 8.3.1 Dixon (Dixon) Test Method 8
8.3.2 reused Dixon (Dixon) Test Method 8
Appendix A (normative) statistical values \u200b\u200bin Table 10
Annex B (informative) select outliers method for determining processing rules and guidelines 15
B. Objective 1 judgment and handling of outliers 15
B. Select 152 to various test methods
B. Information 16 3 outlier detection importance given
Annex C (informative) like when > 30 Dixon (Dixon) Test 17
References 21
Foreword
This standard replaces GB/T 4883-1985. This standard and GB/T 4883-1985 compared to changes in the technical content include.
--- Increasing the terms, definitions and symbols chapter;
--- The "normal sample value judgment and processing" to "judgment and handling in normal sample outliers";
--- The term "outlier detection" and "high outliers" were changed to "straggling value" and "statistical outlier" and further defined the two
Meaning and each other's differences;
--- Increasing the level of detection level and removing the definition;
--- Detectable levels original "detectable levels of α is generally taken as 1%, 5% or 10%" with "unless an agreement according to the standard criteria
Parties otherwise agreed, α value should be 0.05 ";
--- Clear that culling level α as "except in accordance with the parties to the agreement are otherwise agreed, α value should be 0.01";
--- Increasing the variety of situations "statistical outlier" test step;
--- The "no outliers" and "not highly unusual outliers" were changed to "No outliers" and "No statistical outliers
value";
--- Adds Nair (Nair) statistics, Grubbs (Grubbs) statistics, Dixon (Dixon) statistics, skewness statistic peak
Symbols of statistics;
--- For Dixon (Dixon) test, the sample size will be expanded from 30 to 100, this content as Appendix C.
Appendix A of this standard is a normative appendix, Appendix B and Appendix C are informative appendices.
The standard proposed by China National Institute of Standardization.
Application of this standard by the National Standardization Technical Committee on statistical methods.
This standard drafting units. China National Institute of Standardization, Academy of Mathematics and Systems Science, Ningbo University of Technology, Beijing Great
Science, Wuxi City Product Quality Supervision, Inspection, Beijing Normal University.
The main drafters of this standard. YU Zhen Fan, Dingwen Xing, Chen, Jing Guang Zhu, Xiang Zhong room, Wu Jianguo, Cui Jian Heng, Great Ideals.
This standard replaces the previous standard release case.
--- GB/T 4883-1985.
Introduction
Engaged in scientific research, industrial and agricultural manufacturing and management are inseparable from the data, and these data collation, analysis and interpretation are not from
Open statistical methods. Statistics is the study of digital data collation, analysis and correct interpretation of a subject. Each person takes from different sources
Have a variety of digital information, which digital materials are usually chaotic, we must organize and abbreviated to use, along with a comprehensive statistical
The method can make the data sorting, orderly arranged, graphical or a small amount of several important parameters, it can be characterized by the expression of a lot of data
Out, both to avoid incorrect interpretation, but also will be satisfied with the data to minimize costs, improve economic efficiency. "data
Statistical processing and interpretation "contains a number of national standards, they are.
--- Statistical tolerance interval is determined (GB/T 3359)
--- Mean estimates and confidence intervals (GB/T 3360)
--- In comparing the two paired observations Mean (GB/T 3361)
--- Binomial distribution parameter estimation and testing (GB/T 4088)
--- Poisson distribution parameter estimation and testing (GB/T 4089)
--- Normality test (GB/T 4882)
--- Judge and deal with normal sample outliers (GB/T 4883)
--- Normal distribution with mean and variance estimation test (GB/T 4889)
--- Normal distribution mean and variance test efficacy (GB/T 4890)
--- Judge and deal type Ⅰ extreme value distribution of the sample outliers (GB/T 6380)
--- Gamma distribution (Pearson Ⅲ distribution) parameter estimation (GB/T 8055)
--- Exponential distribution sample outliers judgment and processing (GB/T 8056)
For the "judge and deal with processing and interpretation of statistical outliers normal sample data" no relevant international standards, but in some off
International standards and technical documents in the measured (for example. ISO 5725 "measurement methods and results accuracy", ISO Guide 98 "with Monte Carlo
Luo Method for Evaluating Uncertainty ") have adopted a number of methods to judge and deal with the normal sample outliers specified in this standard.
Statistical processing and interpretation of data
Analyzing and handling normal sample outliers
1 Scope
This standard applies to determine and deal with samples from a normal distribution of the outliers.
2 Normative references
The following documents contain provisions which, through reference in this standard and become the standard terms. For dated references, subsequent
Amendments (not including errata content) or revisions do not apply to this standard, however, encourage the parties to the agreement are based on research
Whether the latest versions of these documents. For undated reference documents, the latest versions apply to this standard.
Statistical interpretation of normality test GB/T 4882-2001 data
GB/T 19000-2000 Quality Management System Fundamentals and vocabulary
ISO 3534-1.2006 Statistics Vocabulary and symbols - Part 1. General statistical terms and terms used in probability
ISO 3534-2.2006 Statistics Vocabulary and symbols - Part 2. Applied Statistics
3 Terms, definitions and symbols
ISO 3534-1.2006, ISO 3534-2.2006 and GB/T 19000-2000 and to determine the terms and definitions of the following terms, definitions
And symbols apply to this standard. For ease of reference, certain terms are taken directly from the above criteria.
3.1 Terms and Definitions
3.1.1
One or more sample observations, they leave the other observations farther, suggesting that they may come from different population.
NOTE. Press outliers significant extent into straggling value and statistical outliers.
3.1.2
Excluding statistical test at level of significant outliers.
3.1.3
In the detection level (3.1.4) was significantly lower, but excluding horizontal (3.1.5) without significant outliers.
3.1.4
Significance level for the detection of outliers and specified statistical tests.
NOTE. According to the agreement unless the parties otherwise agree, α value should be 0.05.
3.1.5
Significance level for the detection of outliers and whether outliers height specified statistical tests.
Note. Excluding the value α level should not exceed the value of α detectable levels. According to the agreement, unless the parties otherwise agree, α value should be 0.01.
3.2 Symbols and abbreviations
Like the sample size (number of observations)
Yan x0 sample mean
α test outlier used significance level, referred to as the detection level
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