ISO INTERNATIONAL STANDARD 16269-6 Secondedition 2014-01-15 Statistical interpretation of data - Part 6: Determination of statistical tolerance intervals Interprétation statistique des donneées - Partie 6: Détermination des intervalles statistiques de dispersion Reference number IS0 16269-6:2014(E) LSO @ IS0 2014 y IHS unider lic I without license from IHS Not for Resale IS0 16269-6:2014(E) COPYRIGHTPROTECTEDDOCUMENT ISO2014 All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized otherwise in any form or by any means, electronic or mechanical, including photocopying, or posting on the internet or an intranet, without prior written permission. Permission can be requested 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 copyright@iso.org Web www.iso.org Published in Switzerland @ IS0 2014 - All rights reserved No reproductic networking permited without license from IHS Not for Resale IS0 16269-6:2014(E) Contents Page Foreword ..iv Introduction ..V 1 Scope. .1 2 Normative references ..1 3 Terms, definitions and symbols. ..1 3.1 Terms and definitions. .1 3.2 Symbols... .2 4 Procedures .3 4.1 Normal population with known mean and known variance. .3 4.2 Normal population with unknown mean and known variance .3 4.3 Normal population with unknown mean and unknown variance 4 4.4 Normal populations with unknown means and unknown common variance. ..4 4.5 Anycontinuousdistributionofunknowntype .4 5 Examples .4 5.1 Data for Examples 1 and 2 4 5.2 Example 1: One-sided statistical tolerance interval with unknown variance and unknownmean .5 5.3 Example 2: Two-sided statistical tolerance interval under unknown mean and unknown variance. ..6 5.4 Data for Examples 3 and 4 ..6 5.5 Example 3: One-sided statistical tolerance intervals for separate populations with unknowncommonvariance 7 5.6 Example 4: Two-sided statistical tolerance intervals for separate populations with unknowncommonvariance ..8 5.7 Example 5: Any distribution of unknown type ..10 Annex A (informative) Exact k-factors for statistical tolerance intervals for the normal distribution. .12 AnnexB (informative)Formsforstatisticaltolerance intervals .17 Annex C (normative) One-sided statistical tolerance limit factors, kc(n; p; 1-a), for unknown ..21 Annex D (normative) Two-sided statistical tolerance limit factors, kp(n; m; p; 1-a), for unknown common (m samples). .26 Annex E (normative) Distribution-free statistical tolerance intervals .40 Annex F (informative) Computation of factors for two-sided parametric statistical toleranceintervals .42 Annex G (informative) Construction of a distribution-free statistical tolerance interval for any type of distribution .44 Bibliography 46 iii t license from IHS Not for Resale