在真实性和精确性方面评估四种不同的标准加法方法
Gerhard Gössler1, Vera Hofer2, Walter Goessler3
1Institute of Chemistry, Analytical Chemistry, University of Graz, Graz, Austria. gerhard.goessler@uni-graz.at.
Analytical and bioanalytical chemistry
|January 10, 2025
概括
标准的加法方法.
科学领域:
- 分析化学 分析化学
- 统计分析 统计分析
背景情况:
- 准确的度估计在各种科学领域至关重要.
- 标准加法是一种常见的技术,用于确定复杂矩阵中的分析物度.
研究的目的:
- 在统计上比较使用标准加法估计度的四种方法:推算,插值,反向回归和正常化.
- 根据真实性 (偏见) 和精度 (变量) 来评估这些方法.
主要方法:
- 对四种标准加法方法的统计分析.
- 根据正常分布和同等偏差测量误差的假设进行估计者的比较.
- 偏差和可变性近似的公式的推导.
主要成果:
- 传统的抽取方法在满足标准加法假设时,在偏差和可变性方面表现最佳.
- 在处理异常值时,规范化方法可能是有利的.
结论:
- 额外推算方法仍然是通过标准加法估计度的最推方法,当基本假设成立时.
- 替代方法,如规范化,为特定挑战提供有价值的选择,如异常存在.
相关概念视频
Accuracy and Precision
8.7K
Scientists typically make repeated measurements of a quantity to ensure the quality of their findings and to evaluate both the precision and the accuracy of their results. Measurements are said to be precise if they yield very similar results when repeated in the same manner. A measurement is considered accurate if it yields a result that is very close to the true or the accepted value. Precise values agree with each other; accurate values agree with a true value. Highly accurate...
8.7K
Uncertainty in Measurement: Accuracy and Precision
73.3K
Scientists typically make repeated measurements of a quantity to ensure the quality of their findings and to evaluate both the precision and the accuracy of their results. Measurements are said to be precise if they yield very similar results when repeated in the same manner. A measurement is considered accurate if it yields a result that is very close to the true or the accepted value. Precise values agree with each other; accurate values agree with a true value.
73.3K
Accuracy, limits, and approximation
439
Accuracy, limits, and approximations are common in many fields, especially in engineering calculations. These concepts are imperative for ensuring that a given value is as close as possible to its true value.
Accuracy is defined as the closeness of the measured value to the true or actual value. In engineering mechanics, repeated measurements are taken during theoretical or experimental analyses to ensure that the result is precise and accurate.
The accuracy of any solution is based on the...
Accuracy is defined as the closeness of the measured value to the true or actual value. In engineering mechanics, repeated measurements are taken during theoretical or experimental analyses to ensure that the result is precise and accurate.
The accuracy of any solution is based on the...
439
Testing a Claim about Standard Deviation
2.4K
A complete procedure to test a claim about population standard deviation or population variance is explained here.
The hypothesis testing for the claim of population standard deviation (or variance) requires the data and samples to be random and unbiased. The population distribution also must be normal. There is no specific requirement on the sample size as the estimation is based on the chi-square distribution.
As a first step, the hypothesis (null and alternative) concerning the claim about...
The hypothesis testing for the claim of population standard deviation (or variance) requires the data and samples to be random and unbiased. The population distribution also must be normal. There is no specific requirement on the sample size as the estimation is based on the chi-square distribution.
As a first step, the hypothesis (null and alternative) concerning the claim about...
2.4K
Statistical Analysis: Overview
6.0K
When we take repeated measurements on the same or replicated samples, we will observe inconsistencies in the magnitude. These inconsistencies are called errors. To categorize and characterize these results and their errors, the researcher can use statistical analysis to determine the quality of the measurements and/or suitability of the methods.
One of the most commonly used statistical quantifiers is the mean, which is the ratio between the sum of the numerical values of all results and the...
One of the most commonly used statistical quantifiers is the mean, which is the ratio between the sum of the numerical values of all results and the...
6.0K
Propagation of Uncertainty from Random Error
639
An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
639


