Model Adequacy Checking in Homogeneity and Stability Studies

IF 1 4区 工程技术 Q4 INSTRUMENTS & INSTRUMENTATION MAPAN Pub Date : 2023-10-26 DOI:10.1007/s12647-023-00695-1
Luiz Henrique da Conceição Leal, Werickson Fortunato de Carvalho Rocha
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Abstract

The production of reference materials necessitates, among other factors, evaluations of homogeneity and stability. The aim of the homogeneity study is to ensure uniformity in property values across all samples. On the other hand, stability pertains to a sample’s ability to retain its property value over time. ISO Guide 35 dictates that homogeneity, between and within samples, is appraised using a one-way random effects analysis of variance, while stability is gauged by a univariate linear regression model. Both these statistical techniques presuppose the normality and homoscedasticity of the residuals. Notably, the ISO Guide 35 standard omits any reference to the assumption of homoscedasticity in its prescribed statistical methods. This communication introduces the Shapiro–Wilk and Koenker–Bassett tests as tools to verify the assumptions of normality and homoscedasticity, respectively. Moreover, it advances the feasible generalized least squares method as a remedy for instances where these assumptions are breached. Initial findings suggest that, in certain scenarios, breaches in statistical model assumptions might influence evaluations of homogeneity and/or stability.

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同质性和稳定性研究中的模型充分性检查
除其他因素外,标准物质的生产还需要对均匀性和稳定性进行评估。均匀性研究的目的是确保所有样本的属性值一致。另一方面,稳定性与样品长期保持其属性值的能力有关。ISO 指南 35 规定,样本间和样本内的同质性采用单向随机效应方差分析进行评估,而稳定性则采用单变量线性回归模型进行衡量。这两种统计技术都以残差的正态性和同方差性为前提。值得注意的是,ISO 指南 35 标准在其规定的统计方法中没有提及同方差假设。本文介绍了 Shapiro-Wilk 检验和 Koenker-Bassett 检验,分别作为验证正态性和同方差假设的工具。此外,它还提出了可行的广义最小二乘法,作为对违反这些假设的情况的补救措施。初步研究结果表明,在某些情况下,统计模型假设的违背可能会影响对同质性和/或稳定性的评估。
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来源期刊
MAPAN
MAPAN 工程技术-物理:应用
CiteScore
2.30
自引率
20.00%
发文量
91
审稿时长
3 months
期刊介绍: MAPAN-Journal Metrology Society of India is a quarterly publication. It is exclusively devoted to Metrology (Scientific, Industrial or Legal). It has been fulfilling an important need of Metrologists and particularly of quality practitioners by publishing exclusive articles on scientific, industrial and legal metrology. The journal publishes research communication or technical articles of current interest in measurement science; original work, tutorial or survey papers in any metrology related area; reviews and analytical studies in metrology; case studies on reliability, uncertainty in measurements; and reports and results of intercomparison and proficiency testing.
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