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The role of measurement uncertainty in the validation of a measurement procedure 测量不确定性在验证测量程序中的作用
IF 0.8 4区 工程技术 Q4 CHEMISTRY, ANALYTICAL Pub Date : 2024-04-13 DOI: 10.1007/s00769-024-01593-y
Fernando C. Raposo, Michael H. Ramsey
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引用次数: 0
Comparison of continuous flow analysis and ion chromatography for determinations of nitrate, nitrite and phosphate ions in seawater and development of related seawater certified reference materials 比较连续流动分析法和离子色谱法测定海水中的硝酸盐、亚硝酸盐和磷酸盐离子,并开发相关的海水认证参考材料
IF 0.8 4区 工程技术 Q4 CHEMISTRY, ANALYTICAL Pub Date : 2024-04-10 DOI: 10.1007/s00769-024-01586-x
Chikako Cheong, Toshihiro Suzuki, Tsutomu Miura, Akiharu Hioki

Determinations of three nutrients (nitrate, nitrite and phosphate ions) in seawater were investigated by continuous flow analysis (CFA) based on colorimetry and ion chromatography (IC). The accuracies of those methods were examined by discussing their uncertainties. Although some of the nitrite and phosphate validations were not sufficient due to low concentrations, the results of nitrate agreed well with each other. While CFA is popular in this field, its comparison with IC was reported for the first time and contributed to an increase in the reliability of the analytical results. Finally, the investigation led to the development of three kinds of seawater certified reference materials (CRMs) of the National Metrology Institute of Japan (NMIJ) (NMIJ CRM 7601-a, 7602-a and 7603-a) for which the property values of nutrients including dissolved silica were given. The details of the development are described in the present paper.

通过基于比色法和离子色谱法(IC)的连续流动分析法(CFA),研究了海水中三种营养物质(硝酸盐、亚硝酸盐和磷酸盐离子)的测定。通过讨论这些方法的不确定性,对其准确性进行了研究。虽然亚硝酸盐和磷酸盐的一些验证结果因浓度较低而不够充分,但硝酸盐的结果却相互吻合。虽然 CFA 在这一领域很流行,但它与 IC 的比较是首次报道,有助于提高分析结果的可靠性。最后,调查还促成了日本国家计量研究院(NMIJ)三种海水有证标准物质(NMIJ CRM 7601-a、7602-a 和 7603-a)的开发,其中给出了包括溶解二氧化硅在内的营养物质的属性值。本文介绍了开发的详细情况。
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引用次数: 0
Quality control charts for short or long runs without a training phase. Part 1. Performances in state of control and in the presence of outliers 无训练阶段短跑或长跑的质量控制图。第 1 部分。控制状态下和出现异常值时的性能
IF 0.8 4区 工程技术 Q4 CHEMISTRY, ANALYTICAL Pub Date : 2024-03-27 DOI: 10.1007/s00769-024-01584-z
Manuel Alvarez-Prieto, Ricardo S. Páez-Montero

Sometimes analytical laboratories receive requests with a small number of determinations and/or a small number of samples, or outside the typical scope of analytical services. As a result, they may not have historical data on the performance of analytical processes and/or appropriate reference materials. Under these conditions it is difficult or uneconomical to use traditional or classic quality control charts. This is the so-called start-up problem of these charts. The Q charts seem appropriate charts under these conditions because they do not need any prior training or study phase. The fundamentals and the algebraic expressions of Q charts for the mean (four cases) and for the variance (two cases) are offered. This experimental study of Q charts for individual measurements was done with data from quality control for the evaluation of mass fraction of Ni and Al2O3 in a laterite CRM by ICP-OES. The performance of these Q charts is discussed where the analytical process is in the state of statistical control and in the presence of outliers at the start-up. In the first situation performance of Q charts are quite satisfactory and they behave properly. When outliers are collected at the beginning, the deformation of some charts is evident or the charts become useless. Severe outliers will corrupt the parameter estimates and the subsequent plotted points, or the charts will become insensitive and useless. The practitioner should take extreme care to assure that the initial values are obtained in the state of statistical control to have adequate sensitivity to detect parameter shifts.

有时,分析实验室会收到少量测定和/或少量样品的请求,或超出典型分析服务范围的请求。因此,他们可能没有关于分析过程性能和/或适当参考材料的历史数据。在这种情况下,使用传统或经典的质量控制图很困难或不经济。这就是所谓的这些图表的启动问题。在这些条件下,Q 图表似乎是合适的图表,因为它们不需要任何事先培训或学习阶段。本文介绍了 Q 值表的基本原理以及平均值(四种情况)和方差(两种情况)的代数表达式。这项针对单个测量的 Q 值图的实验研究是通过 ICP-OES 评估红土 CRM 中 Ni 和 Al2O3 质量分数的质量控制数据完成的。我们讨论了在分析过程处于统计控制状态和启动时存在异常值的情况下这些 Q 值表的性能。在第一种情况下,Q 图的性能相当令人满意,表现正常。如果一开始就收集到异常值,一些图表就会明显变形,或者变得毫无用处。严重的异常值会破坏参数估计和随后绘制的点,或者图表变得不敏感和无用。实践者应格外小心,确保初始值是在统计控制状态下获得的,以便有足够的灵敏度来检测参数的偏移。
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引用次数: 0
Improved coverage factors for expanded measurement uncertainty calculated from two estimated variance components 根据两个估计方差分量计算的扩大测量不确定性的改进覆盖因子
IF 0.8 4区 工程技术 Q4 CHEMISTRY, ANALYTICAL Pub Date : 2024-03-27 DOI: 10.1007/s00769-024-01579-w
Peter D. Rostron, Tom Fearn, Michael H. Ramsey

Measurement uncertainty (MU) arising at different stages of a measurement process can be estimated using analysis of variance (ANOVA) on replicated measurements. It is common practice to derive an expanded MU by multiplying the resulting standard deviation by a coverage factor k. This coverage factor then defines an interval around a measurement value within which the value of the measurand, or true value, is asserted to lie for a desired confidence level (e.g. 95 %). A value of k = 2 is often used to obtain approximate 95 % coverage, although k = 2 will be an underestimate when the standard deviation is estimated from a limited amount of data. An alternative is to use Student’s t-distribution to provide a value for k, but this requires an exact or approximate degrees of freedom (df). This paper explores two different methods of deriving an appropriate k in the case when two variances from an ANOVA (classical or robust) need to be combined to estimate the measurement variance. Simulations show that both methods using the modified coverage factor generally produce a confidence interval much closer to the desired level (e.g. 95 %) when the data are approximately normally distributed. When these confidence intervals do deviate from 95 %, they are consistently conservative (i.e. reported coverage is higher than the nominal 95 %). When outlying values are included at the level of the larger variance component, in some cases the method used for robust ANOVA produces confidence intervals that are very conservative.

测量过程不同阶段产生的测量不确定度 (MU) 可通过对重复测量进行方差分析 (ANOVA) 来估算。通常的做法是将由此得出的标准偏差乘以覆盖因子 k,从而得出一个扩展的 MU。该覆盖因子定义了测量值周围的一个区间,在该区间内,测量值或真值被认为处于所需的置信水平(例如 95%)。通常使用 k = 2 的值来获得近似 95 % 的覆盖率,不过在根据有限数据估算标准偏差时,k = 2 的值会被低估。另一种方法是使用学生 t 分布来提供 k 值,但这需要精确或近似的自由度 (df)。本文探讨了在需要结合方差分析(经典方差分析或稳健方差分析)中的两个方差来估计测量方差的情况下,推导适当 k 值的两种不同方法。模拟结果表明,当数据近似正态分布时,使用修正覆盖因子的两种方法通常都能得出更接近理想水平(如 95 %)的置信区间。当这些置信区间偏离 95 % 时,它们始终是保守的(即报告的覆盖率高于标称的 95 %)。当在较大方差分量的水平上包含离群值时,在某些情况下,稳健方差分析所使用的方法会产生非常保守的置信区间。
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引用次数: 0
Information combination and transformation: a paradox and its resolution 信息组合与转换:一个悖论及其解决方案
IF 0.8 4区 工程技术 Q4 CHEMISTRY, ANALYTICAL Pub Date : 2024-03-23 DOI: 10.1007/s00769-024-01578-x
Hening Huang

In his recent paper (https://doi.org/10.1016/j.measen.2022.100416), Willink showed two contradictory theoretical solutions to the problem of combining and transforming two sets of information about the same quantity. Each set of information is represented by a probability density function (PDF), and the transformation function is nonlinear. We refer to Willink’s contradictory result as “Willink paradox”. Two operations: (a) information combination and (b) information transformation are both mathematically valid according to probability theory. Therefore, the two contradictory solutions are both theoretically correct. In practice such as measurement uncertainty analysis, however, we cannot use both solutions; we must choose one or the other. We propose an entropy metric that can be used to provide a practical solution to the Willink paradox. Three examples are presented to illustrate the Willink paradox and the proposed entropy metric.

威林克在他最近的论文(https://doi.org/10.1016/j.measen.2022.100416)中,针对同一数量的两组信息的组合和变换问题,提出了两种相互矛盾的理论解决方案。每组信息都由一个概率密度函数 (PDF) 表示,而变换函数是非线性的。我们把 Willink 的矛盾结果称为 "Willink 悖论"。根据概率论,(a) 信息组合和 (b) 信息变换这两种操作在数学上都是有效的。因此,这两个相互矛盾的解决方案在理论上都是正确的。然而,在测量不确定性分析等实践中,我们无法同时使用这两种解决方案,必须二选一。我们提出了一种熵度量方法,可用于为 Willink 悖论提供实用的解决方案。我们将通过三个例子来说明 Willink 悖论和所提出的熵指标。
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引用次数: 0
A practical two-step procedure for taking into account all available information (prior and current) about influence quantities in measurement uncertainty analysis 在测量不确定性分析中考虑有关影响量的所有可用信息(先验信息和当前信息)的实用两步程序
IF 0.8 4区 工程技术 Q4 CHEMISTRY, ANALYTICAL Pub Date : 2024-03-23 DOI: 10.1007/s00769-024-01583-0
Hening Huang

This paper considers the problem of computing the combined standard uncertainty of an indirect measurement, in which the measurand is related to multiple influence quantities through a measurement model. In practice, there may be prior information or current information, or both, about the influence quantities. We propose a practical two-step procedure for taking into account all available information (prior and current) about influence quantities in measurement uncertainty analysis. The first step is to combine prior and current information to form the merged information for each influence quantity based on the weighted average method or the law of combination of distributions. The second step deals with the propagation of the merged information to calculate the combined standard uncertainty using the law of propagation of uncertainty or the principle of propagation of distributions. The proposed two-step procedure is based entirely on frequentist statistics. A case study on the calibration of a test weight (mass calibration) is presented to demonstrate the effectiveness of the proposed two-step procedure and compare it with a subjective Bayesian approach.

本文探讨了计算间接测量的综合标准不确定度的问题,在间接测量中,测量值通过测量模型与多个影响量相关。在实践中,可能存在关于影响量的先验信息或当前信息,或两者兼而有之。我们提出了一个实用的两步程序,用于在测量不确定度分析中考虑有关影响量的所有可用信息(先验信息和当前信息)。第一步是根据加权平均法或分布组合法,合并先验信息和当前信息,形成每个影响量的合并信息。第二步是对合并信息进行传播,利用不确定度传播定律或分布传播原理计算综合标准不确定度。建议的两步程序完全基于频数统计。本文介绍了一个校准测试砝码(质量校准)的案例研究,以证明所建议的两步程序的有效性,并将其与主观贝叶斯方法进行比较。
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引用次数: 0
Paradox? What paradox? 悖论?什么悖论?
IF 0.8 4区 工程技术 Q4 CHEMISTRY, ANALYTICAL Pub Date : 2024-03-23 DOI: 10.1007/s00769-024-01577-y
R. Willink

This article is a response to the preceding paper by Huang, who considers a recent result of Willink (Measurement: Sensors, 24:100416, 2022) and who describes the result as a paradox. The result implied that a set of information or a “state of knowledge” about a measurand cannot be identified with a unique probability distribution for the measurand, contrary to what seems suggested in the literature surrounding the revision of the Guide to the Expression of Uncertainty in Measurement. The result is restated and viewed in the context of CIPM Recommendation INC-1, which was foundational in the original development of the Guide. It is argued that the result is a proof, not a paradox, and that it will only appear paradoxical to those who have adopted an incorrect premise about probability. The idea of having “information” about the true value of a measurand is discussed and contrasted with the idea of having “belief” about it. The material supports the view that the analysis of measurement uncertainty is to be based on classical statistical principles.

本文是对前一篇论文的回应,作者Huang对Willink(《测量:传感器》,24:100416, 2022)的一项最新成果进行了研究,并将该成果描述为一个悖论。该结果表明,关于测量值的一组信息或 "知识状态 "无法与测量值的唯一概率分布相识别,这与围绕《测量中不确定性的表达指南》修订的文献中似乎提出的观点相反。该结果是在 CIPM INC-1 建议的背景下重新阐述和看待的,该建议是最初制定《指南》的基础。有人认为,这个结果是一个证明,而不是一个悖论,只有那些对概率采用了错误前提的人才会觉得它是悖论。讨论了对测量值的真值拥有 "信息 "的观点,并与对它拥有 "信念 "的观点进行了对比。材料支持这样一种观点,即测量不确定性的分析应基于经典统计原理。
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引用次数: 0
Target uncertainty: a critical review 目标的不确定性:严格审查
IF 0.8 4区 工程技术 Q4 CHEMISTRY, ANALYTICAL Pub Date : 2024-03-19 DOI: 10.1007/s00769-024-01585-y
Fernando C. Raposo, Michael H. Ramsey
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引用次数: 0
The comparison of flow rate calibration methods for high-performance liquid chromatography (HPLC) pump 高效液相色谱泵流速校准方法的比较
IF 0.8 4区 工程技术 Q4 CHEMISTRY, ANALYTICAL Pub Date : 2024-03-15 DOI: 10.1007/s00769-024-01580-3
Prangtip Uthaiwat, Theera Leeudomwong, Tassanai Sanponpute

High-performance liquid chromatography (HPLC) pump has a main function to deliver a mobile phase which needs accuracy and stable flow rate. Recently, the reference of General European OMCL Network 2005: Qualification of Equipment Annex 1 qualification of liquid chromatography equipment presents three flow rate calibration methods that have been used to calibrate the HPLC pump performance such as using standard flow meter, gravimetric method, and volumetric method. In this reference, the calibration methods have not been clearly described. Therefore, this study aimed to investigate and compare the flow rate calibration by the using standard flow meter, gravimetric method, and volumetric method. The flow rate was calibrated at 0.5 and 5 mL/min with three replications. The stability between days of each method was observed for three days. The calibration procedure, traceability chart, and uncertainty budget of each method had been described. The flow rate results were analyzed by using the En ratio. The results showed that the stability of all methods had no statistically significant difference between days when compared to the first day itself. The average measurement flow rates by using standard flow meter, gravimetric method, and volumetric method at 0.5 mL/min were 0.4908, 0.4992, and 0.5012 mL/min, respectively, and at 5 mL/min, they were 4.8346, 4.8272, and 4.8394 mL/min, respectively. These flow rates showed consistent results between each other as confirmed with the En ratio ≤ 1. The precision of the three methods was 0.01 to 0.08 %RSD. This study concluded that the flow rate results of three calibration methods had been consistent with each other. All methods had a good stability and precision for the flow rate calibration of the HPLC pump.

高效液相色谱(HPLC)泵的主要功能是输送流动相,这就需要精确和稳定的流速。最近,欧洲通用 OMCL 网络 2005 年参考文献:Annex 1 qualification of liquid chromatography equipment》的参考文献中介绍了三种校准 HPLC 泵性能的流速方法,如使用标准流量计、重量法和体积法。在这些参考文献中,没有对校准方法进行明确描述。因此,本研究旨在研究和比较使用标准流量计、重力法和体积法校准流量的方法。校准流速为 0.5 和 5 mL/min,重复三次。对每种方法的日间稳定性进行了为期三天的观察。说明了每种方法的校准程序、溯源图和不确定性预算。使用恩比分析了流速结果。结果表明,与第一天相比,所有方法的稳定性在统计上没有显著差异。使用标准流量计、重量法和体积法测量 0.5 mL/min 时的平均流速分别为 0.4908、0.4992 和 0.5012 mL/min,测量 5 mL/min 时的平均流速分别为 4.8346、4.8272 和 4.8394 mL/min。在 En 比值≤ 1 的条件下,这些流速之间的结果一致。三种方法的精确度为 0.01 至 0.08 %RSD。这项研究得出结论,三种校准方法的流速结果是一致的。所有方法对高效液相色谱泵的流速校准都具有良好的稳定性和精确性。
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引用次数: 0
Certification of a novel matrix reference material for accurate measurements of aflatoxin M1 in milk powder 认证用于精确测量奶粉中黄曲霉毒素 M1 的新型基质标准物质
IF 0.8 4区 工程技术 Q4 CHEMISTRY, ANALYTICAL Pub Date : 2024-03-13 DOI: 10.1007/s00769-023-01567-6
Chun Yuan Huang, Ya Xuan Liu, Jian Zhou, Ming Wang, Meng Rui Yang, Hui Liu, Fukai Li, Liyuan Zhang

In this study, two different concentrations of matrix certified reference materials (CRMs) were produced for the accurate measurement of aflatoxin M1(AFM1) in milk powder (GBW(E) 100552, GBW(E) 100553). The raw material was obtained by feeding cows with positive drugs. The homogeneity, stability and characterization of these matrix CRMs were examined by liquid chromatography tandem mass spectrometry with isotope-labeled internal standard method. The certified value for the low concentration of AFM1 in milk powder was 2.45 µg/kg with an expanded uncertainty of 0.43 µg/kg (coverage factor k = 2, at 95% confidence). The certified value for the high concentration of AFM1 in milk powder was 3.45 µg/kg with an expanded uncertainty of 0.49 µg/kg (coverage factor k = 2, at 95% confidence). In addition, the samples were evaluated in detail for homogeneity, long-term stability at − 80 °C for 6 months and short-term stability at 4 °C for 7 days. The results showed that the samples were stable and homogeneous under the above conditions.

Graphical abstract

本研究采用两种不同浓度的基质有证标准物质(GBW(E) 100552 和 GBW(E) 100553),用于准确测定奶粉中的黄曲霉毒素 M1(AFM1)。原料是用阳性药物喂养奶牛获得的。采用液相色谱串联质谱法和同位素标记内标法检测了这些基质 CRMs 的均一性、稳定性和特征。奶粉中低浓度 AFM1 的认证值为 2.45 µg/kg,不确定度为 0.43 µg/kg(覆盖因子 k = 2,置信度为 95%)。奶粉中 AFM1 的高浓度认证值为 3.45 µg/kg,不确定度为 0.49 µg/kg(覆盖因子 k = 2,置信度为 95%)。此外,还对样品的均匀性、在 - 80 °C 下 6 个月的长期稳定性和在 4 °C 下 7 天的短期稳定性进行了详细评估。结果表明,在上述条件下,样品是稳定和均匀的。
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引用次数: 0
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