标题： 应用于分析化学的异方差控制校准模型 显示英文标题

标题： Heteroscedastic controlled calibration model applied to analytical chemistry

摘要： 在实验室进行的化学分析中，存在一个确定样品中某种化学元素浓度的问题。 为了处理这个问题，指南 EURACHEM/CITAC 推荐使用线性校准模型，从而隐含地假设自变量$X$中不存在测量误差。 在这项工作中，提出了一种新的校准模型，假定自变量是受控的。 这一假设适用于化学分析，在该过程中试图达到固定已知值$X$时会产生误差，而得到的结果值是$x$，这无法被直接观测到。然而，可以观察到其替代变量$X$的数据。 为了验证为新模型推导出的估计量的一些性质，进行了模拟研究，并且也考虑了通常使用的校准模型以与新方法进行比较。 提出了三种应用来验证新方法的性能。 显示英文摘要

摘要： In chemical analysis made by laboratories one has the problem of determining the concentration of a chemical element in a sample. In order to tackle this problem the guide EURACHEM/CITAC recommends the application of the linear calibration model, so implicitly assume that there is no measurement error in the independent variable $X$. In this work, it is proposed a new calibration model assuming that the independent variable is controlled. This assumption is appropriate in chemical analysis where the process tempting to attain the fixed known value $X$ generates an error and the resulting value is $x$, which is not an observable. However, observations on its surrogate $X$ are available. A simulation study is carried out in order to verify some properties of the estimators derived for the new model and it is also considered the usual calibration model to compare it with the new approach. Three applications are considered to verify the performance of the new approach.