ISO/TS TECHNICAL SPECIFICATION 28037 First edition 2010-09-01 Determination and use of straight-line calibration functions Determination et utilisation des fonctions d'étalonnage lineaire Reference number ISO/TS 28037:2010(E) @ ISO 2010 ISO/TS 28037:2010(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 COPYRIGHTPROTECTED DOCUMENT ?ISO2010 All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized in any form or by any means, 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 = ISO2010-All rightsreserved ISO/TS 28037:2010(E) Contents Page Foreworc Introduction vi 1 Scope 2 3 Terms and definitions 4 Conventions and notation 5 Principles of straight-line calibration, 5.1 General 5.2 Inputs to determining the calibration function . 5.2.1 Measurement data . 5.2.2 Associated uncertainties and covariances 5.3 Determining the calibration function . 5.4 Numerical treatment. 5.5 Uncertainties and covariance associated with the calibration function parameters 5.6 Validation of the model 5.7 Use of the calibration function 5.8 Determining the ordinary least squares best-fit straight line to data 6 Model for uncertainties associated with the yi . 9 General 6.2 Calibration parameter estimates and associated standard uncertainties and covariance 10 6.3 Validation of the model 11 6.4 Organization of the calculations 11 7 Model for uncertainties associated with the &i and the yi 17 7.1 General 17 7.2 Calibration parameter estimates and associated standard uncertainties and covariance 18 7.3 Validation of the model 20 7.4 Organization of the calculations 20 8 Model for uncertainties associated with the i and the i and covariances associated with the pairs (ri, yi) 24 8.1 General 24 8.2 Calibration parameter estimates and associated standard uncertainties and covariance 24 9 Model for uncertainties and covariances associated with the yi 25 9.1 General 25 9.2 Calibration parameter estimates and associated standard uncertainties and covariance 25 9.3 Validation of the model 27 9.4 Organization of the calculations 27 1o Model for uncertainties and covariances associated with the i and the yi 31 10.1 General 31 10.2 Calibration parameter estimates and associated standard uncertainties and covariance 31 10.3 Validation of the model 34 11 Use of the calibration function 37 11.1Prediction 37 11.2 Forward evaluation 39 ISO2010- All rights reserved iii