IEC 60493-1-2011 Guide for the statistical analysis of ageing test data - Part 1 Methods based on mean values of normally distributed test results《老化试验数据的统计分析指南 第1部分 以正态分布试验结果平均值为基础的方法》.pdf

《IEC 60493-1-2011 Guide for the statistical analysis of ageing test data - Part 1 Methods based on mean values of normally distributed test results《老化试验数据的统计分析指南 第1部分 以正态分布试验结果平均值为基础的方法》.pdf》由会员分享，可在线阅读，更多相关《IEC 60493-1-2011 Guide for the statistical analysis of ageing test data - Part 1 Methods based on mean values of normally distributed test results《老化试验数据的统计分析指南 第1部分 以正态分布试验结果平均值为基础的方法》.pdf（74页珍藏版）》请在麦多课文档分享上搜索。

1、 IEC 60493-1 Edition 2.0 2011-12 INTERNATIONAL STANDARD NORME INTERNATIONALE Guide for the statistical analysis of ageing test data Part 1: Methods based on mean values of normally distributed test results Guide pour lanalyse statistique de donnes dessais de vieillissement Partie 1: Mthodes bases su

2、r les valeurs moyennes de rsultats dessais normalement distribus IEC60493-1:2011 THIS PUBLICATION IS COPYRIGHT PROTECTED Copyright 2011 IEC, Geneva, Switzerland All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized in any form or by any means, ele

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16、r cette publication ou si vous avez des questions, visitez le FAQ du Service clients ou contactez-nous: Email: csciec.ch Tl.: +41 22 919 02 11 Fax: +41 22 919 03 00 IEC 60493-1 Edition 2.0 2011-12 INTERNATIONAL STANDARD NORME INTERNATIONALE Guide for the statistical analysis of ageing test data Part

17、 1: Methods based on mean values of normally distributed test results Guide pour lanalyse statistique de donnes dessais de vieillissement Partie 1: Mthodes bases sur les valeurs moyennes de rsultats dessais normalement distribus INTERNATIONAL ELECTROTECHNICAL COMMISSION COMMISSION ELECTROTECHNIQUE I

18、NTERNATIONALE V ICS 29.035.01 PRICE CODE CODE PRIX ISBN 978-2-88912-834-1 Registered trademark of the International Electrotechnical Commission Marque dpose de la Commission Electrotechnique Internationale 2 60493-1 IEC:2011 CONTENTS FOREWORD . 3 INTRODUCTION . 5 1 Scope . 6 2 Normative references .

19、 6 3 Terms, definitions and symbols 6 3.1 Terms and definitions 6 3.2 Symbols 8 4 Calculation procedures . 9 4.1 General considerations 9 4.2 Single sub-group Difference of mean and specified value . 9 4.2.1 General . 9 4.2.2 Complete data sub-group 9 4.2.3 Censored data sub-group 10 4.3 Two subgrou

20、ps Difference of means . 10 4.3.1 General . 10 4.3.2 Both sub-groups complete . 10 4.3.3 One or both subgroups censored . 11 4.4 Two or more subgroups Analysis of variance 11 4.5 Three or more subgroups Regression analysis . 13 4.5.1 Regression analysis General considerations . 13 4.5.2 Calculations

21、. 14 4.5.3 Test equality of subgroup variances 15 4.5.4 Test significance of deviations from linearity 16 4.5.5 Estimate and confidence limit of y 16 4.5.6 Estimate and confidence limit of x 16 Annex A (informative) Statistical background . 18 Annex B (informative) Statistical tables 22 Bibliography

22、 35 Table B.1 Coefficients for censored data calculations 23 Table B.2 Fractiles of the F-distribution, F0,95. 30 Table B.3 Fractiles of the F-distribution, F0,995. 32 Table B.4 Fractiles of the t-distribution, t0,95. 34 Table B.5 Fractiles of the 2-distribution . 34 60493-1 IEC:2011 3 INTERNATIONAL

23、 ELECTROTECHNICAL COMMISSION _ GUIDE FOR THE STATISTICAL ANALYSIS OF AGEING TEST DATA Part 1: Methods based on mean values of normally distributed test results FOREWORD 1) The International Electrotechnical Commission (IEC) is a worldwide organization for standardization comprising all national elec

24、trotechnical committees (IEC National Committees). The object of IEC is to promote international co-operation on all questions concerning standardization in the electrical and electronic fields. To this end and in addition to other activities, IEC publishes International Standards, Technical Specifi

25、cations, Technical Reports, Publicly Available Specifications (PAS) and Guides (hereafter referred to as “IEC Publication(s)”). Their preparation is entrusted to technical committees; any IEC National Committee interested in the subject dealt with may participate in this preparatory work. Internatio

26、nal, governmental and non-governmental organizations liaising with the IEC also participate in this preparation. IEC collaborates closely with the International Organization for Standardization (ISO) in accordance with conditions determined by agreement between the two organizations. 2) The formal d

27、ecisions or agreements of IEC on technical matters express, as nearly as possible, an international consensus of opinion on the relevant subjects since each technical committee has representation from all interested IEC National Committees. 3) IEC Publications have the form of recommendations for in

28、ternational use and are accepted by IEC National Committees in that sense. While all reasonable efforts are made to ensure that the technical content of IEC Publications is accurate, IEC cannot be held responsible for the way in which they are used or for any misinterpretation by any end user. 4) In

29、 order to promote international uniformity, IEC National Committees undertake to apply IEC Publications transparently to the maximum extent possible in their national and regional publications. Any divergence between any IEC Publication and the corresponding national or regional publication shall be

30、 clearly indicated in the latter. 5) IEC itself does not provide any attestation of conformity. Independent certification bodies provide conformity assessment services and, in some areas, access to IEC marks of conformity. IEC is not responsible for any services carried out by independent certificat

31、ion bodies. 6) All users should ensure that they have the latest edition of this publication. 7) No liability shall attach to IEC or its directors, employees, servants or agents including individual experts and members of its technical committees and IEC National Committees for any personal injury,

32、property damage or other damage of any nature whatsoever, whether direct or indirect, or for costs (including legal fees) and expenses arising out of the publication, use of, or reliance upon, this IEC Publication or any other IEC Publications. 8) Attention is drawn to the Normative references cited

33、 in this publication. Use of the referenced publications is indispensable for the correct application of this publication. 9) Attention is drawn to the possibility that some of the elements of this IEC Publication may be the subject of patent rights. IEC shall not be held responsible for identifying

34、 any or all such patent rights. International Standard IEC 60493-1 has been prepared by IEC technical committee 112: Evaluation and qualification of electrical insulating materials and systems. This second edition cancels and replaces the first edition, published in 1974, and constitutes a technical

35、 revision. The main changes with respect to the first edition are that, besides a complete editorial revision, censored data sub-group are considered. 4 60493-1 IEC:2011 The text of this standard is based on the following documents: CDV Report on voting 112/172/CDV 112/192/RVC Full information on th

36、e voting for the approval of this standard can be found in the report on voting indicated in the above table. This publication has been drafted in accordance with the ISO/IEC Directives, Part 2. A list of all the parts in the IEC 60493 series, published under the general title Guide for the statisti

37、cal analysis of ageing test data, can be found on the IEC website. The committee has decided that the contents of this publication will remain unchanged until the stability date indicated on the IEC web site under “http:/webstore.iec.ch“ in the data related to the specific publication. At this date,

38、 the publication will be reconfirmed, withdrawn, replaced by a revised edition, or amended. 60493-1 IEC:2011 5 INTRODUCTION Procedures for estimating ageing properties are described in specific test procedures, or are covered by the general documents on test procedures for ageing tests with a specif

39、ic environmental stress (e.g. temperature, radiation, partial discharges). In many cases, a certain property is determined as a function of time at different ageing stresses, and a time to failure based on a chosen end-point criterion is found at each ageing stress. A plot of time to failure versus

40、ageing stress may be used to obtain an estimate of the time to failure for similar specimens exposed to a specified stress, or to obtain an estimate of the value of stress which will cause failure in a specified time. The physical and chemical laws governing the ageing phenomena may often lead to th

41、e assumption that a linear relationship exists between the property examined and the ageing time at fixed ageing stresses, or between certain mathematical functions of property and ageing time, e.g. square root or logarithm. Also, there may be a linear relationship between time to failure and ageing

42、 stress, or mathematical functions of these variables. The methods described in this part of IEC 60493 apply to such cases of linear relationship. The methods are illustrated by the example of thermal ageing wherein the case of a simple chemical process it may be assumed that the degradation obeys t

43、he Arrhenius law, i.e. the logarithm of time to failure is a linear function of the reciprocal thermodynamic temperature. Numerical examples demonstrating the use of the methods in this case are given in IEC 60216-3 11. The calculation processes specified in this standard are based on the assumption

44、 that the data under examination are normally distributed. No test for normality of the data is specified, since the available tests are unreliable for small sample groups of data. However, the methods have been used for a considerable time without undesirable results and with no check on the normal

45、ity of the data distributions. _ 1Figures in square brackets refer to the bibliography. 6 60493-1 IEC:2011 GUIDE FOR THE STATISTICAL ANALYSIS OF AGEING TEST DATA Part 1: Methods based on mean values of normally distributed test results 1 Scope This part of IEC 60493 gives statistical methods which m

46、ay be applied to the analysis and evaluation of the results of ageing tests. It covers numerical methods based on mean values of normally distributed test results. These methods are only valid under specific assumptions regarding the mathematical and physical laws obeyed by the test data. Statistica

47、l tests for the validity of some of these assumptions are also given. This standard deals with data from both complete test sets and censored test sets. This standard provides data treatment based on the concept of “data sub-group“ as defined in Clause 3. The validity of the coefficients used in the

48、 calculation processes to derive statistical parameters of the data groups are described in 1. 2 Normative references None. 3 Terms, definitions and symbols 3.1 Terms and definitions For the purposes of this document, the following terms, definitions and symbols apply. 3.1.1 ordered data set of data

49、 arranged in sequence so that in the appropriate direction through the sequence each member is greater than or equal to its predecessor Note 1 to entry: “Ascending order“ in this standard implies that the data is ordered in this way, the first being the smallest. 3.1.2 order-statistic each individual value in a set of ordered data is referred to as an “order-statistic“ identified by its numeric