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
This is a limited preview
Buy now to download the full PDF (16 pages)
Need quotation for your management?
Get a formal quotation for GB/T 4883-2008 in 30 minutes.
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.
Found what you need?
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.
Referenced standards
Cited by
- GB/T 47215-2026Determination of ammonia volatilization from soil
- GB/T 15074-2025General specification for EPMA quantitative analysis
- GB/T 45795-2025Determination of PM10/PM2.5 mass concentration in atmosphere — Light scattering method
- GB/T 45796-2025Method for air negative ion concentration observation — Capacitance inhalation
- GB/T 43858-2024Specification for long-term biological observation in terrestrial ecosystems
- HY/T 0363-2023Code of practice for data set quality control of ocean economy statistics
Similar standards
Editions of GB/T 4883
| Edition | Title | Revision | Status |
|---|---|---|---|
| GB/T 4883-2008 | Statistical interpretation of data - Detection and treatment of outliers in the normal sample | current edition | Current |
| GB/T 4883-1985 | Statistical interpretation of data - Detection and treatment of outliers in the normal sample | previous edition | Superseded |
This page sells the current edition, GB/T 4883-2008. Earlier editions are listed for reference only.
How to Download GB/T 4883-2008
- 1
Add to cart
Click "Download PDF" on this page and choose "Buy this standard". You can add more standards before checkout.
- 2
Checkout
Enter your email and billing details. Payment is processed securely by Stripe (cards or bank transfer). Prefer bank details? Request a quotation (min. order $300).
- 3
Instant delivery (0–9 sec)
Delivery is automatic: within seconds of payment you'll receive an email with a secure download link. The link stays valid for 72 hours.
- 4
Invoice included
A tax invoice is attached to the confirmation email. Need a custom invoice? Contact us.
Related Standards
GB/T 10003-2026 — Biaxially oriented polypropylene (BOPP) film
GB/T 10004-2026 — Plastic/Plastic laminated films and pouches for packaging
GB/T 10007-2026 — Rigid cellular plastics - Determination of shear properties
Secure payment via Stripe
Payments accepted
GB/T 4883-2008
$285.00