论文标题
比较高中科学实验中的不同不确定性度量以量化测量不确定性
Comparing Different Uncertainty Measures to Quantify Measurement Uncertainties in High School Science Experiments
论文作者
论文摘要
在高中实验中解释实验数据对于学生来说可能是一项艰巨的任务，尤其是在数据差异很大时。同时，计算标准偏差为学生带来了挑战。在本文中，我们研究了替代性不确定性度量，以描述数据集的变化。根据数学复杂性和统计质量进行比较。数学复杂性的确定基于不同的数学课程。使用蒙特卡洛模拟确定统计质量，其中将这些不确定性度量与标准偏差进行比较。结果表明，复杂性的提高与质量息息相关。此外，我们提出了一系列这些不确定性度量的序列，并提高了数学复杂性和质量提高。因此，这项工作提供了一种理论背景来实施适合不同教育水平的不确定性度量。
Interpreting experimental data in high school experiments can be a difficult task for students, especially when there is large variation in the data. At the same time, calculating the standard deviation poses a challenge for students. In this article, we look at alternative uncertainty measures to describe the variation in data sets. A comparison is done in terms of mathematical complexity and statistical quality. The determination of mathematical complexity is based on different mathematics curricula. The statistical quality is determined using a Monte Carlo simulation in which these uncertainty measures are compared to the standard deviation. Results indicate that an increase in complexity goes hand in hand with quality. Additionally, we propose a sequence of these uncertainty measures with increasing mathematical complexity and increasing quality. As such, this work provides a theoretical background to implement uncertainty measures suitable for different educational levels.
