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GB/T 4088-2008 English PDF

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GB/T 4088-2008: Statistical interpretation of data -- Estimation and hypothesis test of parameter in binomial distribution
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GB/T 4088: Evolution and historical versions

Standard IDContents [version]USDSTEP2[PDF] delivered inStandard Title (Description)StatusPDF
GB/T 4088-2008English1129 Add to Cart 8 days [Need to translate] Statistical interpretation of data -- Estimation and hypothesis test of parameter in binomial distribution Valid GB/T 4088-2008
GB/T 4088-1983English799 Add to Cart 5 days [Need to translate] Statistical interpretation of data--Test for parameter in binomial distribution Obsolete GB/T 4088-1983

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Basic data

Standard ID GB/T 4088-2008 (GB/T4088-2008)
Description (Translated English) Statistical interpretation of data -- Estimation and hypothesis test of parameter in binomial distribution
Sector / Industry National Standard (Recommended)
Classification of Chinese Standard A41
Classification of International Standard 03.120.30
Word Count Estimation 51,529
Date of Issue 2008-07-16
Date of Implementation 2009-01-01
Older Standard (superseded by this standard) GB/T 4087.1-1983; GB/T 4087.2-1983; GB/T 4088-1983
Quoted Standard GB/T 4086.2; GB/T 4086.4; 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 specifies the binomial distribution parameter estimation and testing methods. Let the population have some characteristics of some individuals, p is the general characteristics of the individual with such a ratio. For example, p can be a number of products in the ratio of non-conforming product. Random from the population, the number of individuals independently extract a sample. This standard specifies the type of samples based on the overall parameters p for point estimation, interval estimation and testing methods. For finite population, set its size is N (N should be sufficiently large), the sample size to n. When the extraction is back, or when extraction is not back, but n/N <0. 1, n is secondary extraction can be considered independent.

GB/T 4088-2008: Statistical interpretation of data -- Estimation and hypothesis test of parameter in binomial distribution


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Statistical interpretation of data. Estimation and hypothesis test of parameter in binomial distribution ICS 03.120.30 A41 National Standards of People's Republic of China Replacing GB/T 4087.1-1983, GB/T 4087.2-1983, GB/T 4088-1983 Statistical processing and interpretation of data Estimation and test of binomial distribution 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 Point 4 binomial distribution parameter estimation 2 4.1 Classical estimation 2 4.1.1 Sample extraction method 2 4.1.2 estimator 2 4.1.3 Example 2 4.2 Sample Sequential Estimation 2 4.2.1 Sample extraction method 2 4.2.2 estimator 2 4.2.3 Example 2 Interval estimation of parameter in binomial distribution 3 5 5.2 Confidence Interval Seeking 3 6 binomial test parameters 7 6.1 null hypothesis and alternative hypothesis 7 6.2.1 implementation steps 7 6.2.2 rejection region is determined threshold Ba 1, Ba 2 7 6.2.3 Example 8 6.3 upper limit of 10 one-sided test 6.3.1 implementation steps 10 6.3.2 rejection region determined threshold Ba 2 10 The lower one-sided test 10 6.4 6.4.1 implementation steps 10 6.4.2 rejection region Ba determined threshold of 11 1 Appendix A (normative) to determine the shape and limit Ba according to the point of absolute error estimation method 12 Several other estimation methods in Appendix B (normative) 13 Annex C (normative) upper confidence limit table (like = 10 (1) 30) 14 Annex D (normative) 28 Graphic Appendix E (normative) refusal on the domain side threshold table 32 Annex F (normative) significance tests of two types of errors 37 Annex G (normative) Test H0 equivalent methods 42 Annex H (normative) given a first, a second type of error when estimating sample size like 43

Foreword

This standard is GB/T 4087.1-1983 "Statistical interpretation of parameter in binomial distribution point data estimates", GB/T 4087.2-1983 "interval data processing and interpretation of statistical estimation of parameter in binomial distribution" and GB/T 4088-1983 "number From integration based data processing and interpretation of the test statistic parameter in binomial distribution "basis. This standard replaces GB/T 4087.1-1983, GB/T 4087.2-1983 and GB/T 4088-1983. 4087.1-1983, GB/T 4087.2-1983, 4088-1983, compared with the variations of the standard GB/T GB/T technical content mainly include. --- According to GB/T 1.1-2000 "Standardization Guide Part 1. Standard structure and write rules," the requirements of the standard format It has been modified; The Standard Appendix A, Appendix B, Appendix C, Appendix D, Appendix E, Appendix F, Annex G and Annex H are normative appendix. Application of this standard by the National Standardization Technical Committee on statistical methods (SAC/TC21) and focal points. This standard drafting units. China National Institute of Standardization, Beijing University, Guangzhou Product Quality Supervision, Inspection, Hainan Province Product Quality Supervision Inspection Institute. The main drafters of this standard. YU Zhen Fan, Sun Shanze, Joseph Wu Yu, Deng Suixing, Dingwen Xing, Huang Yan, Tsai Hung, Houxiang Chang, Zhong Xiang room. This standard replaces the standards previously issued as follows. --- GB/T 4087.1-1983; --- GB/T 4087.2-1983; --- GB/T 4088-1983.

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 processing and interpretation of the statistics" 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 mean and variance estimation and testing methods (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) Statistical processing and interpretation of data Estimation and test of binomial distribution

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 χ2 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-α level of confidence interval estimation X0 number of individual samples with the desired characteristics Type I error probability α significance test Type II error probability β significance test α 'if the null hypothesis is true, the probability that the null hypothesis is rejected β '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

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