Coverage Intervals

Author:

Stoudt Sara1ORCID,Pintar Adam2ORCID,Possolo Antonio2ORCID

Affiliation:

1. Smith College, , , Northampton, MA 01063, USA

2. National Institute of Standards and Technology, Information Technology Laboratory, Statistical Engineering Division, Gaithersburg, MD 20899, USA

Abstract

Since coverage intervals are widely used expressions of measurement uncertainty, this contribution reviews coverage intervals as defned in the Guide to the Expression of Uncertainty in Measurement (GUM), and compares them against the principal types of probabilistic intervals that are commonly used in applied statistics and in measurement science. Although formally identical to conventional confdence intervals for means, the GUM interprets coverage intervals more as if they were Bayesian credible intervals, or tolerance intervals. We focus, in particular, on a common misunderstanding about the intervals derived from the results of the Monte Carlo method of the GUM Supplement 1 (GUM-S1), and offer a novel interpretation for these intervals that we believe will foster realistic expectations about what they can deliver, and how and when they can be useful in practice

Funder

Information Technology Laboratory

Publisher

National Institute of Standards and Technology (NIST)

Subject

General Engineering

Reference44 articles.

1. Coverage Intervals

2. International Bureau of Weights and Measures (BIPM), IEC, IFCC, ISO, IUPAC, IUPAP, OIML (1995)Guide to the Expression of Uncertainty in Measurement (GUM)(International Organization for Standardization (ISO), Geneva, Switzerland). Corrected and Reprinted.

3. Joint Committee for Guides in Metrology (JCGM) (2008)Evaluation of Measurement Data — Guide to the Expression of Uncertainty in Measurement(International Bureau of Weights and Measures (BIPM), Sevres, France). BIPM, IEC, IFCC, ILAC,ISO, IUPAC, IUPAP and OIML, JCGM 100:2008, GUM 1995 with minor corrections Available atwww.bipm.org/en/publications/guides/gum.html.

4. Invited Article: Concepts and tools for the evaluation of measurement uncertainty

5. Atkins P, de Paula J, Keeler J (2018)Physical Chemistry(Oxford University Press, Oxford, UK), 11th Ed.

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A brief guide to measurement uncertainty (IUPAC Technical Report);Pure and Applied Chemistry;2024-01-01

2. Coverage Intervals;Journal of Research of the National Institute of Standards and Technology;2021-03-03

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