SOUTH AFRICAN NATIONAL STANDARD
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1 ISBN SOUTH AFRICAN NATIONAL STANDARD Civil engineering test methods Part PR1: Determination of uncertainty of measurement, repeatability, reproducibility and bias Published by SABS Standards Division 1 Dr Lategan Road Groenkloof Private Bag X191 Pretoria 0001 Tel: Fax: SABS
2 Table of changes Change No. Date Scope Amdt Amended to include a clause on precision categories. Acknowledgement The SABS Standards Division wishes to acknowledge the valuable assistance of the Committee of Transport Officials (COTO), and the South African National Roads Agency Limited (SANRAL). Foreword This South African standard was approved by National Committee SABS SC 59E, Construction standards Pavement materials testing, in accordance with procedures of the SABS Standards Division, in compliance with annex 3 of the WTO/TBT agreement. This document was published in February This document supersedes SANS 3001-PR1:2008 (edition 1). A vertical line in the margin shows where the text has been technically modified by amendment No. 1. SANS 3001 consists of various parts under the general title Civil engineering test methods. Parts PR of the SANS 3001 series contain general procedures that are normative references for other parts in the series. Annex B forms an integral part of this document. Annexes A, C and D are for information only. Introduction This part of SANS 3001 outlines the general principles to be understood when assessing data provided by a single operator (process) or more than one operator (multiple comparison). It provides guidance and methods to determine accuracy, precision, bias, repeatability and reproducibility limits for standard test methods carried out in the SANS 3001 series. The SANS 3001 series requires that all test methods include statements of precision and bias. All measurement results are to be accompanied by quantitative statements of uncertainty. This procedure covers these and additional concepts and provides guidance for their use in statements about the test methods. This part of SANS 3001 adopts, in substance, the approach to expressing measurement uncertainty recommended by the International Committee for Weights and Measures (CIPM). Apparatus dimensions that are critical to the outcome of the method or procedure are given with a tolerance. All other dimensions are nominal and should be considered fit for purpose.
3 Contents Page Acknowledgement Foreword Introduction 1 Scope Normative references Definitions and symbols Principles Calculations Statistical sample size Sample statistics Estimated population standard deviation Equality of variances Uncertainty of measurement True value range Outlier Repeatability Reproducibility Bias Annex A (informative) Examples of the calculation procedure Annex B (normative) Statistical tables Annex C (informative) Statistical formulations and general terms Annex D (informative) Sources of variability Bibliography
4 This page is intentionally left blank 2
5 Civil engineering test methods Part PR1: Determination of uncertainty of measurement, repeatability, reproducibility and bias 1 Scope This part of SANS 3001 covers quantitative statements of uncertainty about test methods in this series and describes a method to determine: a) statistical sample size; b) sample statistics; c) estimated population standard deviation; d) uncertainty of measurement; e) outlier; f) repeatability; g) reproducibility; and h) bias. This standard does not cover proficiency testing schemes or inter-laboratory comparisons, and does not include statistical experimental designs. 2 Normative references The following referenced documents are indispensable for the application of this document. For dated references, only the edition cited applies. For undated references, the latest edition of the referenced document (including any amendments) applies. Information on currently valid national and international standards can be obtained from the SABS Standards Division. ISO , Statistics Vocabulary and symbols Part 1: General statistical terms and terms used in probability. 3
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