Citation

Possolo A, Hibbert DB, Stohner J, Bodnar O, Meija J. Pure Appl. Chem. 2024; 96(1): 113-134.

Copyright

(Copyright © 2024, International Union of Pure and Applied Chemistry)

DOI

10.1515/pac-2022-1203

PMID

unavailable

Abstract

This Brief Guide reintroduces readers to the main concepts and technical tools used for the evaluation and expression of measurement uncertainty, including both classical and Bayesian statistical methods. The general approach is the same that was adopted by the Guide to the Expression of Uncertainty in Measurement (GUM): quantities whose values are surrounded by uncertainty are modeled as random variables, which enables the application of a wide range of techniques from probability and statistics to the evaluation of measurement uncertainty. All the methods presented are illustrated with examples involving real measurement results from a wide range of fields of chemistry and related sciences, ranging from classical analytical chemistry as practiced at the beginning to the 20th century, to contemporary studies of isotopic compositions of the elements and clinical trials. The supplementary material offers profusely annotated computer codes that allow the readers to reproduce all the calculations underlying the results presented in the examples.

Language: en

Keywords

Bayesian methods; Gauss’s formula; measurement uncertainty; Monte Carlo methods; uncertainty propagation