ISO TECHNICAL TR 5307 REPORT First edition 1991-12-01 ANsI Intermat Dcu suy Solid fertilizers -- Derivation of a sampling plan for the evaluation of a large delivery Matieres fertilisantes solides -Fondements theoriques du plan d'échantillonnage destine a Y'évaluation d'une grosse livraison Referencenumber ISO/TR 5307:1991(E) ISO/TR 5307:1991(E) Contents Page Scope 1 2 References 3 Notation and symbols Preliminary hypotheses 4 4 5 Principle of the sampling plan 5.1 General 4 5.2 Information 5 5.3 What is determined by the proposed method 8 Theory of the sampling plan 8 6 6.1 Definitions 8 6.2 Determination of limits 9 6.3 Use of two non-central t distributions 10 6.4 Determination of N and N' 11 Practical procedure for the determination of N and N 15 7 7.1 Basic information 15 7.2 Calculation 15 7.3 Simplified calculation when N' > 30 16 Examples of calculations .... 17 8 8.1 Calculation by the complete process 17 8.2 Simplified calculation 20 Effect of the values of the various parameters on N and K ... 20 9 Evaluation of a delivery 22 10 Annexes Table of values of the standardized normal variable u as A a function of p 24 B Table of values of (1 - a?)/a2 25 C SO1991 orbyanymeans,electronicormechanical,includingphotocopyingand microfilm,without permission in writing from the publisher. International Organization for Standardization CasePostale56·CH-1211Genéve20·Switzerland Printed in Switzerland ii ISO/TR 5307:1991(E) Foreword iso (the International Organization for Standardization) is a worldwide federation of national standards bodies (IsO member bodies). The work of preparing Internationat 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 the. right to be represented on that 'committee. International organizations, govern- mental and non-governmental, in liaison with IsO, also take part in the work. Iso collaborates closely with the International Electrotechnical Commission (IEC) on all matters of eiectrotechnical standardization. The main task of technical committees is to prepare International Stan- dards, but in exceptional circumstances a technical committee may propose the publication of a Technical Report of one of the following types: type 1, when the required support cannot be obtained for the publi- cationof anInternationalStandard,despiterepeated efforts; type 2, when the subject is still under technical development or where for any other reason there is the future but not immediate possibility of an agreement on an International Standard; type 3, when a technical committee has collected data of a different kind from that which is normally published as an International Stan- dard ("state of the art", for example). Technical Reports of types 1 and 2 are subject to review within three yearsofpublication,todecidewhethertheycanbetransformedinto international Standards. Technical Reports of type 3 do not necessarily have to be reviewed until the data they provide are considered to be no longer valid or useful. IsO/TR 5307, which is a Technical Report of type 3, was prepared by Technical Committee isO/TC 134, Fertilizers and soil conditioners. This document is a type 3 Technical Report. It is not envisaged that it will be published as an International Standard. It gives the mathematical derivation of the sampling plan specified in iso 8634. Annexes A and B are for information only. ii