{"title":"The Study of Metrological Comparison of Reference Materials at Multiple Levels of Quantity Value","authors":"Bin Wang, XiaoHua Lu","doi":"10.1007/s12647-025-00803-3","DOIUrl":null,"url":null,"abstract":"<div><p>The metrological comparison of reference materials at the multiple levels of quantity value is a relatively complex mode of metrological comparison. To study the determination of comparative reference equations and the calculation method of degree of equivalence, taking the data from CCQM-K80 “Comparison of value-assigned CRMs and PT materials: Creatinine in human serum” comparison project of the Consultative Committee for Amount of Substance (CCQM) as an example, while considering both the uncertainty of reference materials and the uncertainty of comparison measurements, a generalized distance regression method is used to determine the comparison reference equation and obtain the comparison reference values and uncertainties of reference materials at different levels of quantity value. Based on the certified values and uncertainties of reference materials, comparison measurement values and uncertainties, and corresponding comparison reference values and uncertainties, combined with comparison reference equations, the Monte Carlo method is used to the calculate degree of equivalence and uncertainty. Compared to <i>ζ</i>, using generalized distance regression to determine the reference equation and then calculate the degree of equivalence and uncertainty, the calculation results are more comprehensive, integrating information such as reference material quantity values, comparison measurement results, and comparison reference values.</p></div>","PeriodicalId":689,"journal":{"name":"MAPAN","volume":"40 2","pages":"397 - 407"},"PeriodicalIF":1.3000,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"MAPAN","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s12647-025-00803-3","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"INSTRUMENTS & INSTRUMENTATION","Score":null,"Total":0}
引用次数: 0
Abstract
The metrological comparison of reference materials at the multiple levels of quantity value is a relatively complex mode of metrological comparison. To study the determination of comparative reference equations and the calculation method of degree of equivalence, taking the data from CCQM-K80 “Comparison of value-assigned CRMs and PT materials: Creatinine in human serum” comparison project of the Consultative Committee for Amount of Substance (CCQM) as an example, while considering both the uncertainty of reference materials and the uncertainty of comparison measurements, a generalized distance regression method is used to determine the comparison reference equation and obtain the comparison reference values and uncertainties of reference materials at different levels of quantity value. Based on the certified values and uncertainties of reference materials, comparison measurement values and uncertainties, and corresponding comparison reference values and uncertainties, combined with comparison reference equations, the Monte Carlo method is used to the calculate degree of equivalence and uncertainty. Compared to ζ, using generalized distance regression to determine the reference equation and then calculate the degree of equivalence and uncertainty, the calculation results are more comprehensive, integrating information such as reference material quantity values, comparison measurement results, and comparison reference values.
多量值层次的标准物质计量比较是一种比较复杂的计量比较方式。研究比较性参考方程的确定和等效度的计算方法,数据取自CCQM-K80“value-assigned crm and PT materials Comparison of materials”:以美国物质量咨询委员会(CCQM)“人血清肌酐”比较项目为例,在考虑标准物质不确定度和比较测量不确定度的同时,采用广义距离回归法确定比较参考方程,得到不同量值水平下标准物质的比较参考值和不确定度。根据标准物质的认证值和不确定度、比较测量值和不确定度以及相应的比较参考值和不确定度,结合比较参考方程,采用蒙特卡罗方法计算等效度和不确定度。与ζ相比,采用广义距离回归法确定参比方程,然后计算等效度和不确定度,计算结果更加全面,综合了参比物质的量值、比较测量结果、比较参考值等信息。
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.