ISO INTERNATIONAL STANDARD 5725-5 First edition 1998-07-15 Accuracy (trueness and precision) of measurement methods and results Part 5: Alternative methods for the determination of the precision of a standard measurement method Exactitude (justesse et fidelite) des résultats et methodes de mesure Partie 5: Methodes alternatives pour la determination de la fidelite d'une méthode de mesure normalisée Tso Reference number ISO 5725-5:1998(E) ISO5725-5:1998(E) Contents Page Scope 1 2 Normative references 1 3 Definitions 2 4 Split-level design . 2 4.1 Applications of the split-level design 2 4.2 Layout of the split-level design 2 4.3 Organization of a split-level experiment 3 4.4 Statistical model .... 4 4.5 Statistical analysis of the data from a split-level experiment 5 4.6 Scrutiny of the data for consistency and outliers ... 6 4.7 Reporting the results of a split-level experiment .. 7 4.8 Example 1: A split-level experiment [ - Determination of protein 7 5 A design for a heterogeneous material .... 13 5.1 Applicationsofthedesignforaheterogeneousmaterial 13 5.2 Layout of the design for a heterogeneous material ..... 14 5.3 Organization of an experiment with a heterogeneous material 15 5.4 Statistical model for an experiment with a heterogeneous material 16 5.5 Statistical analysis of the data from an experiment with a heterogeneous material 17 5.6 Scrutiny of the data for consistency and outliers ........ 20 5.7 Reporting the results of an experiment on a heterogeneous material .. 21 5.8 Example 2: An experiment on a heterogeneous material .... 21 5.9 General formulae for calculations with the design for a heterogeneous material 29 5.10 Example 3: An application of the general formulae . 30 6 Robust methods for data analysis 33 6.1 Applications of robust methods of data analysis .. 33 6.2 Robust analysis: Algorithm A ... 35 6.3 Robust analysis: Algorithm S.. 36 6.4 Formulae: Robust analysis for a particular level of a uniform-level design 38 6.5 Example 4: Robust analysis for a particular level of a uniform-level design 38 6.6 Formulae: Robust analysis for a particular level of a split-level design ..... 42 6.7 Example 5: Robust analysis for a particular level of a split-level design 42 6.8 Formulae: Robust analysis for a particular level of an experiment on a heterogeneous material ..... 45 Example 6: Robust analysis for a particular level of an experiment on a heterogeneous material ... 45 Annexes A (normative) Symbols and abbreviations used in ISO 5725 50 B (informative) Derivation of the factors used in algorithms A and S 53 C (informative) Derivation of equations used for robust analysis 55 D (informative) Bibliography ... 56 ISO1998 All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized in any form or by any means, electronic International OrganizationforStandardization Case postale 56 . CH-1211 Geneve 20 . Switzerland [email protected] Printed in Switzerland ii @ ISO ISO5725-5:1998(E) Foreword member bodies). The work of preparing International Standards is normally carried out through isO technical committees. Each member body interested in a subject for which a technical committee has been established has liaison with IsO, also take part in the work. IsO collaborates closely with the International Electrotechnical Commission (IEC) on all matters of electrotechnical standardization. Draft International Standards adopted by the technical committees are circulated to the member bodies for voting. ISO 5725-5 was prepared by Technical Committee ISO/TC 69, Applications of statistical methods, Subcommittee SC 6, Measurement methods and results. methodsandresults Part 1:General principles anddefinitions Part 2: Basic method for the determination of repeatability and reproducibility of a standard measurement method - Part 3: Intermediate measures of the precision of a standard measurement method Part 4: Basic methods for the determination of the trueness of a standard measurem