In this article, the models of random parameter and random walk are considered as alternative approaches for estimating the mean standard deviation associated with heterogeneity during both the evaluation of the metrological characteristics of reference materials, as well as the quality control of samples prepared from moist solid substances. For the random parameter and random walk models, the behaviour of the basic statistical criteria is described, including, overall mean, standard deviation, standard deviation of the mean and autocorrelation function, obtained both for real experimental data and theoretical measurement results simulated according to the Monte Carlo method. It is shown that the application of the ANOVA method for evaluating the standard deviation associated with heterogeneity should be additionally validated for the materials, whose basic statistical criteria fall under the random walk model.
- Certified reference material
- Processing quality of certified reference material
- Homogeneity study of moist solid substances
- Monte Carlo method
- ANOVA method
- GET 173-2017
- Random walk model
Maria Yu. Medvedevskikh—ResearcherID: G-6171-2017
Maria P. Krasheninina—ResearcherID: B-8302-2019
This is a preview of subscription content, access via your institution.
ISO Guide 35-2017 Reference materials—guidance for characterization and assessment of homogeneity and stability
Medvedevskikh SV, Medvedevskikh MYu, Krasheninina MP (2018) Features of processing the results of single measurements when characterizing standard samples. In: The collection of reports of the international scientific and technical conference. International seminar mathematics, statistics and computation to support measurement quality, 29–31 May 2018. D.I. Mendeleyev Institute for Metrology, St. Petersburg (in Russ.)
Medvedevskikh SV, Krasheninina MP, Medvedevskikh MYu (2018) Estimation of material preparation quality of certified reference materials of solid wet substances. In: Conference abstracts III international scientific conference “reference materials in measurement and technology”. 11–14 Sept 2018. UNIIM, Yekaterinburg (in Russ.)
Medvedevskikh MYu, Sergeeva AS, Krasheninina MP (2015) Certified reference materials in moisture measurements (Review). Ind Lab 81(6):66–71 (in Russ.)
Medvedevskikh MYu, Kazennova NK, Krasheninina MP (2013) Certification of measurement techniques and assessment of the applicability of standard samples of the mass fraction of moisture for the control of the quality of food products during their production, processing and storage. Ref Mater (4):40–45 (in Russ.)
Krasheninina MP, Medvedevskikh MYu, Medvedevskikh SV, Neudachina LK, Sobina EP (2013) Evaluation of the metrological characteristics of the certified reference material of the dry milk composition using the primary and secondary state standards. Meas Tech 9:67–71 (in Russ.)
Sirenek VA (2014) Link relaxation equations mass transfer models “Random walks” and ways of solving diffusion of tasks on their basis. Bull St PbSIT (TU) 49(23):93–96 (in Russ.)
Tiannikova ND, Timonin VI (2014) The method of calculating the exact distributions of the Kolmogorov-Smirnov statistics in case of violation of homogeneity and independence of the analyzed samples. Sci Educ Bauman MSTU 11:227–237 (in Russ.)
van der Veen AMH, Thomas Linsinger JP (2001) Uncertainty calculations in the certification of reference materials. Homogeneity study. Accred Qual Assur 26–30
ISO 11648-1:2003(E) Statistical aspects of sampling from bulk materials—part 1: general principles
Mille BM, Pankov AR (2002) The theory of random processes. FIZMATLIT, Moscow (in Russ.)
Dickey DA, Fuller WA (1979) Distribution of the estimators for autoregressive time series with a unit root. J Amer Stat 74:427–431
ISO/IEC Guide 98-3:2008/Suppl 1:2008. Uncertainty of measurement—Part 3: guide to the expression of uncertainty in measurement (GUM:1995)—Supplement 1: propagation of distributions using a Monte Carlo method
Medvedevskikh MYu, Krasheninina MP, Sergeeva AS, Shokhina OS (2018) A reference installation based on thermo-gravimetric analysis with mass-spectrometric detection as a part of the state primary standard GET. Ind Lab 84(6):63–69. https://doi.org/10.26896/1028-6861-2018-84-6-63-68 (in Russ.)
Author Contribution Statement
Medvedevskikh S. V.: Concept and methodology of the research, data analysis. Literature review, data curation. Literature review of sources published in foreign languages.
Medvedevskikh M. Yu.: Concept and initiation of the research. Critical analysis and revision of the text. Literature review of sources published in foreign languages.
Krasheninina M. P.: Preparation of the manuscript draft, computer work with the text, preparation of the final text. Collection of experimental data.
Conflict of Interest
One of the authors is a member of the Editorial Board of these proceedings.
Editors and Affiliations
Rights and permissions
© 2020 Springer Nature Switzerland AG
About this paper
Cite this paper
Medvedevskikh, S.V., Medvedevskikh, M.Y., Krasheninina, M.P. (2020). Quality Assessment of the Preparation of Reference Materials of Moist Solid Substances. In: Medvedevskikh, S., Kremleva, O., Vasil’eva, I., Sobina, E. (eds) Reference Materials in Measurement and Technology. RMMT 2018. Springer, Cham. https://doi.org/10.1007/978-3-030-32534-3_16
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-32533-6
Online ISBN: 978-3-030-32534-3
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)