ISO/TR TECHNICAL REPORT 20693 First edition 2019-04 Statistical methods for implementation of Six Sigma - Selected illustrations of distribution identification studies Méthodes statistiques pour la mise en ceuvre du Six Sigma-Exemples choisis d'etudes d'identification de la distribution Reference number IS0/TR 20693:2019(E) so @ IS0 2019 IS0/TR 20693:2019(E) COPYRIGHTPROTECTEDDOCUMENT @ ISO 2019 All rights reserved. Unless otherwise specified, or required in the context of its implementation, 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 CP 401 : Ch. de Blandonnet 8 CH-1214 Vernier, Geneva Phone: +4122 749 0111 Fax: +41 22 749 09 47 Email: [email protected] Website: www.iso.org Published in Switzerland ii @ IS0 2019 - All rights reserved IS0/TR 20693:2019(E) Contents Page Foreword ..iv Introduction. ..V 1 Scope. ..1 2 Normative references ..1 3 Terms and definitions 4 Symbols and abbreviated terms ..2 5 Basic principles. .3 5.1 General. .3 5.2 Exploratory data analysis (EDA .4 5.3 Discrete data case. .4 5.3.1 Graphical methods. 4 5.3.2 Numerical methods 4 5.4 Continuous data case .5 5.4.1 Graphical methods 5 5.4.2 Numerical methods .5 5.4.3 Distribution family unknown and no prior information available ..5 6 General description of distribution identification .6 6.1 Overview of the structure of distribution identification .6 6.2 State overall objectives .6 6.3 Formulate a model theory .6 6.4 Collect, prepare and explore data .7 6.5 Select underlying probability distributions ..8 6.6 Perform goodness of fit test. .8 6.7 Draw conclusions. .8 7 Examples .9 Annex A (informative) Test uniformity in the Super Lotto .10 Annex B (informative) Distribution of the number of technical issues found after product release to the field. .13 Annex C (informative) Software development effort estimation ..18 Annex D (informative) Determining the warranty period of a product. ..26 Bibliography .33 @ IS0 2019 - All rights reserved ii