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GB/T 4883-2008Statistical interpretation of data - Detection and treatment of outliers in the normal sample (English PDF)

数据的统计处理和解释 正态样本离群值的判断和处理

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Issued by

SAMR; SAC

Level / Type

National · Recommended

Issue date

July 16, 2008

Implementation date

January 1, 2009

Scope

GB/T 4883-2008 is the English-translated version of 数据的统计处理和解释 正态样本离群值的判断和处理.

GB/T 4883-2008 is the Chinese standard "Statistical interpretation of data - Detection and treatment of outliers in the normal sample". Its scope clause reads: This standard is applicable to the detection and treatment of outliers in the normal sample. Its clauses include terms, definitions and symbols; outlier detection.

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Document preview — GB/T 4883-2008

National Standard of the People's Republic of China

ICS
03.120.30
Classification
A 41
Replacing
GB/T 4883-1985

Issued by: State Administration for Market Regulation; Standardization Administration of the PRC

Contents

  • Foreword i
  • Introduction iii
  • 1 Scope
  • 2 Normative references
  • 3 Terms, definitions and symbols
  • 3.1 Terms and definitions
  • 3.2 Symbols and abbreviations
  • 4 Outlier detection
  • 4.1 Source and detection
  • 4.2 Three cases of outliers
  • 4.3 Upper limit of the number of detection outliers
  • 4.4 Single outlier case
  • 4.5 Test rules for determining multiple outliers
  • 5 Outlier treatment
  • 5.1 Methods
  • 5.2 Rules
  • 5.3 Recording
  • 6 Rules for detecting outliers in the case of known standard deviation
  • 6.1 General rules
  • 6.2 Rules for detecting outliers
  • 6.2.1 Upper case
  • 6.2.2 Lower case
  • 6.2.3 Two-sided case
  • 6.3 Example of using Nair's test
  • 7.1 General rules
  • 7.2 Grubbs' test
  • 7.2.1 Upper case
  • 7.2.2 Lower case
  • 7.2.3 Two-sided case
  • 7.2.4 Example of using Grubbs' test
  • 7.3 Dixon's test
  • 7.3.1 One-sided case
  • 7.3.2 Two-sided case
  • 7.3.3 Examples of using Dixon's test
  • 8.1 General rules
  • 8.2 Skewness-kurtosis test
  • 8.2.1 Service conditions
  • 8.2.2 One-sided case - skewness test
  • 8.2.3 Two-sided case - kurtosis test
  • 8.2.4 Example of repeated use of kurtosis test
  • 8.3 Dixon's test
  • 8.3.1 Rules of Dixon's test
  • 8.3.2 Examples of repeated use of the Dixon's test
  • Annex A (Normative) Table of statistical values
  • Annex B (Informative) Guidelines for selecting outlier detection methods and treatment rules
  • B.1 Purpose of determining and treating outliers
  • B.2 Selection of various test methods
  • B.3 Pay attention to the information given by the detected outliers
  • Annex C (Informative) Dixon's test when n > 30
  • Bibliography

1 Scope

This standard is applicable to the detection and treatment of outliers in the normal sample.

2 Normative references

The following standards contain provisions which, through reference in this text, constitute provisions of this national standard. For dated references, subsequent amendments (excluding corrections) to, or revisions, of any of these publications do not apply to this standard. However, parties to agreements based on this standard are encouraged to investigate the possibility of applying the most recent editions of the normative documents indicated below. For undated references, the latest edition of the normative document referred to applies.

GB/T 4882-2001 Statistical interpretation of data - Normality tests

GB/T 19000-2000 Quality management systems - 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

For the purposes of this standard, the terms and definitions in ISO 3534-1: 2006, ISO 3534-2: 2006, GB/T 19000-2000 and the following apply. For reference, some terms are directly quoted from the above standards.

3.1 Terms and definitions

3.1.1 outlier

one or more observed values in the sample, which are far away from other observed values, suggesting that they may come from different populations

Note: Outliers are divided into stragglers and statistical outliers according to the degree of significance.

3.1.2 statistical outlier

significant outliers by statistical test under deletion level

3.1.3 straggler

outliers that are significant at the detection level (3.1.4), but not significant at the deletion level (3.1.5)

3.1.4 detection level

significance level of statistical test specified to detect outliers

Note: Unless otherwise agreed by the parties under this standard, alpha shall be 0.05.

3.1.5 deletion level

significance level of statistical test specified to detect whether outliers are high

Note: The value of deletion level alpha* shall not the exceed the value of detection level. Unless otherwise agreed by the parties under this standard, alpha* shall be 0.01.

3.2 Symbols and abbreviations

n Sample size (number of observed values)

Sample mean

alpha Significance level used to test outliers, referred to as detection level

alpha* Significance level used to test statistical outliers, referred to as deletion level (alpha* < alpha) x(i) The i-th value of observed values from small to large

sigma Population standard deviation s Sample standard deviation

Rn Statistics on Nair

R'n Statistics under Nair

Gn Statistics on Grubbs

G'n Statistics under Grubbs

Dn Statistics on Dixon

D'n Statistics under Dixon bs Skewness statistics bk Kurtosis statistics

4 Outlier detection

......
This preview omits tables, figures, formulas and parts of the technical clauses. The complete document — 16 pages — is available in the English PDF.

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Editions of GB/T 4883

EditionTitleRevisionStatus
GB/T 4883-2008Statistical interpretation of data - Detection and treatment of outliers in the normal samplecurrent editionCurrent
GB/T 4883-1985Statistical interpretation of data - Detection and treatment of outliers in the normal sampleprevious editionSuperseded

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