Study of approaches to determining the required number of multiple observations

Zakharov, I. P.; Botsiura, O. A.; Neyezhmakov, P. I.

Публікація:
Study of approaches to determining the required number of multiple observations

dc.contributor.author	Zakharov, I. P.
dc.contributor.author	Botsiura, O. A.
dc.contributor.author	Neyezhmakov, P. I.
dc.date.accessioned	2024-03-18T14:12:19Z
dc.date.available	2024-03-18T14:12:19Z
dc.date.issued	2022
dc.description.abstract	The necessity to determine the minimum number of observations when developing a measurement procedure in accredited test and calibration laboratories is discussed. The methods of evaluating the number of observations when evaluating the expanded measurement uncertainty using the GUM method, the Monte Carlo method, and based on the Law of the expanded uncertainty propagation are considered. In the first case, a nomogram is constructed that allows determining the minimum required number of multiple observations based on the given values of the expanded measurement uncertainty for a probability of 0.9545, the standard deviation of the scattering of the indications of a measuring instrument and the normally propagated standard instrumental uncertainty of type B. In the case of calculating the measurement uncertainty based on the Monte-Carlo method, a normal law and the Student’s law of propagation with given characteristics was modelled, and on its basis, for a probability of 0.95, a diagram to calculate the required number of observations when performing multiple measurements was constructed. The application of the Law of the expanded uncertainty propagation proved to be the most universal for calculating the required number of observations, since it made it possible to obtain approximating expressions for both probabilities and for the normal and uniform laws attributed to the components of type B
dc.identifier.citation	Zakharov I. P. Study of approaches to determining the required number of multiple observations / I. P. Zakharov, O. A. Botsiura, P. I. Neyezhmakov // Ukrainian Metrological Journal. – 2022. – No. 3. – Pp. 9-12.
dc.identifier.doi	https://doi.org/10.24027/2306-7039.3.2022.269582
dc.identifier.uri	https://openarchive.nure.ua/handle/document/26105
dc.language.iso	en
dc.publisher	Ukrainian Metrological Journal
dc.relation.ispartofseries	No. 3
dc.subject	number of multiple observations
dc.subject	measurement uncertainty evaluation
dc.subject	GUM uncertainty framework
dc.subject	Monte Carlo method
dc.subject	Law of expanded uncertainty propagation (LEUP)
dc.title	Study of approaches to determining the required number of multiple observations
dc.type	Article
dspace.entity.type	Publication