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GB/T 4889-2008: Statistical interpretation of data -- Techniques of estimation and tests relating to means and variances of normal distribution
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Statistical interpretation of data -- Techniques of estimation and tests relating to means and variances of normal distribution
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GB/T 4889-2008
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Statistical interpretation of data--Techniques of estimation and tests relating to means and variances of normal distributions
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Basic data | Standard ID | GB/T 4889-2008 (GB/T4889-2008) | | Description (Translated English) | Statistical interpretation of data -- Techniques of estimation and tests relating to means and variances of normal distribution | | Sector / Industry | National Standard (Recommended) | | Classification of Chinese Standard | A41 | | Classification of International Standard | 03.120.30 | | Word Count Estimation | 34,369 | | Date of Issue | 2008-07-28 | | Date of Implementation | 2009-01-01 | | Older Standard (superseded by this standard) | GB/T 4889-1985 | | Adopted Standard | ISO 2854-1976, MOD | | Regulation (derived from) | Announcement of Newly Approved National Standards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 automated classification of diesel generating sets automation requirements. This standard applies by GB/T 12786 " automation engine power plant general technical conditions" automated manufacturing diesel generator sets (hereinafter referred to as the unit). | GB/T 4889-2008: Statistical interpretation of data -- Techniques of estimation and tests relating to means and variances of normal distribution
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Statistical interpretation of data. Techniques of estimation and tests relating to means and variances of normal distribution
ICS 03.120.30
A41
National Standards of People's Republic of China
Replacing GB/T 4889-1985
Statistical processing and interpretation of data
Normal distribution with mean and variance estimation test
(ISO 2854. 1976, MOD)
Posted 2008-07-28
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
1 Scope 1
2 Normative references 1
3 Terms, definitions and symbols 1
3.1 Terms and definitions
3.2 Symbols 2
4 General 2
5 Single Population Mean Test and estimate 2
5.1 single population mean test 2
5.2 single normal population mean interval estimate 5
6 Two Normal Population Means Comparison 7
6.1 Comparison of two population means test 7
The difference between the two population mean interval 6.2 Estimation 10
7 Single normal population variance or standard deviation of the test and the estimated 12
7.1 single population variance or standard deviation of 12 tests
7.2 single population variance or standard deviation of the interval estimation 13
8 two overall variance or standard deviation comparison 14
8.1 two overall variance or standard deviation comparison test 14
Section 8.2 two overall variance or standard deviation of the ratio of the estimated 16
Appendix A (normative) statistical values \u200b\u200bin Table 18
Foreword
This revised standard adopts the International Standard ISO 2854. 1976. This standard and ISO 2854. 1976 as compared to the main changes in the technical content
To include.
--- The ISO carved in two chapters of the methods and examples to Article narration, easy to understand;
--- Description Table C in many other table, a large number of previously omitted the foregoing table the same repetitive description;
--- The normality test section covers omit;
--- Paired data to compare the contents omitted;
--- Structural re-arrangement, a method related to the back of each one illustrative example;
This standard replaces GB/T 4889-1985. This standard and GB/T 4889-1985 compared to changes in the technical content 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 revised;
--- Increased terminology, symbols and definitions;
--- The sample size to sample size;
--- Structural re-arrangement, a method related to the back of each one illustrative example;
The Standard Appendix A and Appendix B are normative.
Application of this standard by the National Standardization Technical Committee on statistical methods and focal points.
This standard was drafted. East China Normal University, China National Institute of Standardization, Beijing University, the Ministry of Railways.
The main drafters of this standard. Pu Xiaolong, Li Yan, Ding Wenxing, YU Zhen Fan, Sun Shanze, Qiu Hongjing, Du Chunping, Great Ideals.
This standard replaced the standard of previous editions. GB/T 4889-1985.
Statistical processing and interpretation of data
Normal distribution with mean and variance estimation test
1 Scope
Generally covered by this standard normal distribution.
This standard applies to the overall mean and variance estimation or testing.
2 Normative references
The following documents contain provisions which, through reference in this standard to become the standard terms. For dated references, all subsequent
Amendments (not including errata content) or revised edition are not suitable for this standard. However, according to the study encourages the parties to the agreement are
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 4882-2002 data
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 and ISO 3534-2.2006 as well as to determine the terms and definitions of the following terms, definitions and symbols apply to this standard
quasi. For ease of reference, certain terms are taken directly from the above criteria.
3.1 Terms and Definitions
3.1.1
In hypothesis testing, the null hypothesis is true and reject the null hypothesis that the maximum value of (committing type I error) probability.
Note 1. The case of the two-sided test, the significance level α is the null hypothesis is true and reject the null hypothesis of probability; the case of one-sided test, significance level α is
The maximum value of the probability.
Note 2. The value of α shall be based on the user is ready to bear the risk of selecting, in practice, α is often taken as 0.05 or 0.01. Due to a possible hypothesis α =
0.05 was rejected at α = 0.01 and when not rejected, then the following statement is appropriate. "null hypothesis at significance level α = 0.05 is lower
Reject ", or" null hypothesis at significance level α = 0.01 at not rejected. "
Note 3. Particular attention there is a second type of error, but an error when the null hypothesis reject the null hypothesis is guilty of this mistake. See terminology on statistical tests
ISO 3534-1.2006.
3.1.2
1-α
Parameters are estimated confidence interval contains the true value of the probability parameter.
Note 1. The confidence level is usually taken 0.95,0.99, namely α = 0.05 or α = 0.01.
3.1.3
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