ISO/TS TECHNICAL SPECIFICATION 17503 First edition 2015-11-01 Statistical methods of uncertainty evaluation Guidance on evaluation of uncertainty using two-factor crossed designs Méthodes statistiques d'evaluation de I'incertitude - Lignes directrices pour I'évaluation de I'incertitude des modeles a deux facteurs croisés Reference number IS0/TS 17503:2015(E) SO International Organization for Standardization @ IS0 2015 HEJIANG INST OF STANDARDIZATION C1 5956617 vided by IHS under ted without license from IHS IS0/TS 17503:2015(E) COPYRIGHTPROTECTEDDOCUMENT IS02015,PublishedinSwitzerland 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. ISOcopyrightoffice Ch. de Blandonnet 8 . CP 401 CH-1214 Vernier, Geneva, Switzerland Tel.+41 22 749 01 11 Fax +41 22 749 09 47 [email protected] www.iso.org Intenationaibr PrganizationforStandardization icensee-ZHEJIANG INST OF STANDARDIZoISQ s1.5 - All rights reserved Not for Resale, 2016/1/8 02:32:2 etworking permitted without license from IHS IS0/TS17503:2015(E) Contents Page Foreword ..iv Introduction. ..V 1 Scope. .1 2 Normative references 3 Terms and definitions 4 Symbols. ..2 5 Conduct of experiments .4 6 Preliminary review of data - Overview ..4 7 Variance components and uncertainty estimation. ..4 7.1 General considerations for variance components and uncertainty estimation. ..4 7.2 Two-way layout without replication. .5 7.2.1 Design .5 7.2.2 Preliminary inspection .5 7.2.3 Variance component estimation. .5 7.2.4 Standard uncertainty for the mean of all observations .6 7.2.5 Degrees of freedom for the standard uncertainty. .6 7.3 Two-way balanced experiment with replication (both factors random) .7 7.3.1 Design. 7 7.3.2 Preliminary inspection 7 7.3.3 Variance component extraction. 7 7.3.4 Standard uncertainty for the mean of all observations .8 7.3.5 Degrees of freedom for the standard uncertainty. 9 7.4 Two-way balanced experiment with replication (one factor fixed, one factor random) .10 7.4.1 Design 10 7.4.2 Preliminary inspection. 10 7.4.3 Variance component extraction. .11 7.4.4 Standard uncertainty for the mean of all observations .11 7.4.5 Degrees of freedom for the standard uncertainty .12 8 Application to observations on a relative scale ..12 9 Use of variance components in subsequent measurements ..12 10 Alternative treatments ..13 10.1 Restricted (or residual) maximum likelihood estimates ..13 10.2 Alternative methods for model reduction ..13 11 Treatment with missing values ..13 Annex A (informative) Examples ..14 Bibliography ..19 iii =ZHEJIANG INST OF STANDARDIZATION C1 5956617 vided by IHS underI thout license from IHS