ISO INTERNATIONAL STANDARD 16269-8 First edition 2004-09-15 Statistical interpretation of data - Part 8: Determination of prediction intervals Interpretation statistique des données Partie 8: Détermination des intervalles de prédiction Reference number ISO 16269-8:2004(E) SO @ ISO 2004 ISO 16269-8:2004(E) PDF disclaimer This PDF file may contain embedded typefaces. In accordance with Adobe's licensing policy, this file may be printed or viewed but shall not be edited unless the typefaces which are embedded are licensed to and installed on the computer performing the editing. In downloading this file, parties accept therein the responsibility of not infringing Adobe's licensing policy. The Iso Central Secretariat accepts no liability in this area. Adobe is a trademark of Adobe Systems Incorporated. Details of the software products used to create this PDF file can be found in the General Info relative to the file; the PDF-creation parameters were optimized for printing. Every care has been taken to ensure that the file is suitable for use by IsO member bodies. In ISO2004 All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying and microfilm, without permission in writing from either isO at the address below or IsO's member body in the country of the requester. ISO copyright office Case postale 56 . CH-1211 Geneva 20 Tel. + 41 22 749 01 11 Fax + 41 22 749 09 47 E-mail [email protected] Web www.iso.org Published in Switzerland @ ISO 2004 - All rights reserved ISO 16269-8:2004(E) Contents Page Foreword.. Introduction VI 1 Scope.. 2 Normative references 3 Terms,definitionsandsymbols.. 3.1 Terms and definitions.. 3.2 Symbols 4 Prediction intervals .. 4.1 General. 4.2 Comparison with other types of statistical interval 4.2.1 Choice of type of interval.. 4.2.2 Comparison with a statistical tolerance interval .. 4.2.3 Comparison with a confidence interval for the mean. 5 Prediction intervals for all observations in a further sample from a normally distributed population with unknown population standard deviation..... 5.1 One-sidedintervals... 5.2 Symmetric two-sided intervals ... 5 5.3 Prediction intervals for non-normally distributed populations that can be transformed to normality..... .5 5.4 Determination of a suitable initial sample size, n, for a given maximum value of the prediction interval factor, k........ 6 5.5 Determination of the confidence level corresponding to a given prediction interval ..... 6 Prediction intervals for all observations in a further sample from a normally distributed population with known population standard deviation .. 6.1 One-sided intervals... 6.2 6.3 Prediction intervals for non-normally distributed populations that can be transformed to normality.... 6.4 Determination of a suitable initial sample size, n, for a given value of k. 6.5 Determination of the confidence level corresponding to a given prediction interval ..... 7 Prediction intervals for the mean of a further sample from a normally distributed population... .8 8 Distribution-free prediction intervals.. 8 8.1 General. 8.2 One-sided intervals... 8 8.3 Two-sided intervals... Annex A (normative) Tables of one-sided prediction interval factors, k, for unknown population standard deviation .... .13 Annex B (normative) Tables of two-sided prediction interval factors, k, for unknown population standard deviation ...... 31 Annex C (normative) Tables of one-sided prediction interval factors, k, for known population standard deviation..... Annex D (normative) Tables of two-sided prediction interval factors, k, for known population standard deviation.. .67 izallor'ghts reserved ii ISO 16269-8:2004(E) Annex E (normative) Tables of sample sizes for one-sided distribution-free prediction intervals ......85 Annex G (normative) Interpolating in the tables . ..97 Annex H (informative) Statistical theory underlying the tables .. .101