GB/T 4088-2008Statistical interpretation of data Estimation and hypothesis test of parameter in binomial distribution (English PDF)
数据的统计处理和解释 二项分布参数的估计与检验
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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 4088-2008 is the English-translated version of 数据的统计处理和解释 二项分布参数的估计与检验.
GB/T 4088-2008 is the Chinese standard "Statistical interpretation of data Estimation and hypothesis test of parameter in binomial distribution". Its scope clause reads: This standard specifies the test methods and estimation of binomial distribution.
Substandard products in the ratio of products. Overall randomly and independently drawn a number of individuals as a sample. This standard specifies the sample based on such Limited overall, set the size of N (N should be sufficiently large), sample size shape.
When the extraction is back, or when the extraction is without replacement, But like N < 0.1 When, like extraction time can be considered independent. Its clauses include terms, definitions and symbols.
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Document preview — GB/T 4088-2008
National Standard of the People's Republic of China
- ICS
- 03.120.30
- Classification
- A 41
- Replacing
- GB/T 4087.2-1983
Issued by: State Administration for Market Regulation; Standardization Administration of the PRC
Contents
- Introduction
- 1 Scope
- 2 Normative references
- 3 Terms, definitions and symbols
- 4.1 Classical estimation
- 4.1.1 Sample extraction method
- 4.1.2 estimator
- 4.1.3 Example
- 4.2 Sample Sequential Estimation
- 4.2.1 Sample extraction method
- 4.2.2 estimator
- 4.2.3 Example
- 5.2 Confidence Interval Seeking
- 6 binomial test parameters
- 6.1 null hypothesis and alternative hypothesis
- 6.2.1 implementation steps
- 6.2.2 rejection region is determined threshold Ba 1, Ba 2
- 6.2.3 Example
- 6.3 upper limit of 10 one-sided test
- 6.3.1 implementation steps
- 6.3.2 rejection region determined threshold Ba 2
- 6.4.1 implementation steps
- 6.4.2 rejection region Ba determined threshold of 11
- Annex C (normative) upper confidence limit table (like = 10 (1) 30)
- Annex D (normative) 28 Graphic
- Appendix E (normative) refusal on the domain side threshold table
- Annex F (normative) significance tests of two types of errors
- Annex G (normative) Test H0 equivalent methods
- Annex H (normative) given a first, a second type of error when estimating sample size like
1 Scope
This standard specifies the test methods and estimation of binomial distribution.
Substandard products in the ratio of products. Overall randomly and independently drawn a number of individuals as a sample. This standard specifies the sample based on such
Limited overall, set the size of N (N should be sufficiently large), sample size shape. When the extraction is back, or when the extraction is without replacement,
But like
N < 0.1
When, like extraction time can be considered independent.
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.
GB/T 4086.2 Tables for statistical distributions chi2 distribution
GB/T 4086.4 Tables for statistical distributions F distribution
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 terminology and symbols directly from the above criteria.
Shaped sample size
1-alpha level of confidence interval estimation
X0 number of individual samples with the desired characteristics
Type I error probability alpha significance test
Type II error probability beta significance test
alpha 'if the null hypothesis is true, the probability that the null hypothesis is rejected
beta 'error when the null hypothesis, the probability that the null hypothesis of no refusal
H0 null hypothesis significance testing
Alternative hypothesis H1 significance test
The probability P {A} Event A
The number of individuals N finite population contained […]
......
This preview omits tables, figures, formulas and parts of the technical clauses. The complete document — 35 pages — is available in the English PDF.
Referenced standards
Normative references
- GB/T 4086.2Data analysis and decision - Tables for statistical distributions - Part 2: Chi-square distribution
- GB/T 4086.4Data analysis and decision - Tables for statistical distributions - Part 4: F-distribution
ISO 3534-1:2006 · ISO 3534-2:2006
Similar standards
Editions of GB/T 4088
| Edition | Title | Revision | Status |
|---|---|---|---|
| GB/T 4088-2008 | Statistical interpretation of data Estimation and hypothesis test of parameter in binomial distribution | current edition | Current |
| GB/T 4087.2-1983 | Statistical interpretation of data Estimation and hypothesis test of parameter in binomial distribution | previous edition | Superseded |
This page sells the current edition, GB/T 4088-2008. Earlier editions are listed for reference only.
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Related Standards
GB/T 4086.2-1983 — Data analysis and decision - Tables for statistical distributions - Part 2: Chi-square distribution
GB/T 4086.2-2025 — Data analysis and decision - Tables for statistical distributions - Part 2: Chi-square distribution
GB/T 4086.4-2025 — Data analysis and decision - Tables for statistical distributions - Part 4: F-distribution
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