Flierl Lukas, Rienitz Olaf
Physikalisch-Technische Bundesanstalt, Bundesallee 100, Braunschweig 38114, Germany.
MethodsX. 2023 Dec 20;12:102529. doi: 10.1016/j.mex.2023.102529. eCollection 2024 Jun.
In this publication, an alternative mathematical approach for correction is presented. It is shown comprehensively how the newly developed formulas are derived and what the differences are to the established algorithm recommended by Brand et al. Additionally, two simulations are presented, which demonstrate the performance (in terms of accuracy and precision) of the approach. Part of this work is an EXCEL Add-In, which allows users to perform correction, normalization and uncertainty propagation on their own. This enables the users - who are limited to measure only the masses 44 to 46 - to fully control their data evaluation.•Improved accuracy over a wider range.•Easy use and implementation of the scheme.•Convenient uncertainty calculation in accordance with international standards.
在本出版物中,提出了一种用于校正的替代数学方法。全面展示了新开发的公式是如何推导出来的,以及与布兰德等人推荐的既定算法有何不同。此外,还给出了两个模拟,展示了该方法的性能(在准确性和精确性方面)。这项工作的一部分是一个EXCEL插件,它允许用户自行进行校正、归一化和不确定度传播。这使得那些只能测量质量数44至46的用户能够完全控制他们的数据评估。
•在更宽范围内提高了准确性。
•该方案易于使用和实施。
•根据国际标准方便地计算不确定度。