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A Comparison of Two Balance Calibration Model Building Methods

机译:两种天平校准模型建立方法的比较

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摘要

Simulated strain-gage balance calibration data is used to compare the accuracy of two balance calibration model building methods for different noise environments and calibration experiment designs. The first building method obtains a math model for the analysis of balance calibration data after applying a candidate math model search algorithm to the calibration data set. The second building method uses stepwise regression analysis in order to construct a model for the analysis. Four balance calibration data sets were simulated in order to compare the accuracy of the two math model building methods. The simulated data sets were prepared using the traditional One Factor At a Time (OFAT) technique and the Modern Design of Experiments (MDOE) approach. Random and systematic errors were introduced in the simulated calibration data sets in order to study their influence on the math model building methods. Residuals of the fitted calibration responses and other statistical metrics were compared in order to evaluate the calibration models developed with different combinations of noise environment, experiment design, and model building method. Overall, predicted math models and residuals of both math model building methods show very good agreement. Significant differences in model quality were attributable to noise environment, experiment design, and their interaction. Generally, the addition of systematic error significantly degraded the quality of calibration models developed from OFAT data by either method, but MDOE experiment designs were more robust with respect to the introduction of a systematic component of the unexplained variance.
机译:模拟的应变片平衡校准数据用于比较两种平衡校准模型构建方法针对不同噪声环境和校准实验设计的准确性。在将候选数学模型搜索算法应用于校准数据集之后,第一种构建方法获得用于分析平衡校准数据的数学模型。第二种构建方法使用逐步回归分析来构建用于分析的模型。为了比较两种数学模型构建方法的准确性,对四个平衡校准数据集进行了仿真。使用传统的一次一次因子(OFAT)技术和现代实验设计(MDOE)方法来准备模拟数据集。为了研究随机误差和系统误差对数学模型构建方法的影响,在模拟校准数据集中引入了随机误差和系统误差。比较拟合的校准响应和其他统计指标的残差,以评估使用噪声环境,实验设计和模型构建方法的不同组合开发的校准模型。总体而言,预测的数学模型和两种数学模型构建方法的残差都显示出很好的一致性。模型质量的显着差异可归因于噪声环境,实验设计及其相互作用。通常,系统误差的添加会显着降低通过这两种方法从OFAT数据开发的校准模型的质量,但相对于引入无法解释的方差的系统成分而言,MDOE实验设计更可靠。

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