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方差分析以评估由于新型可变环间距离同心环电极而导致的拉普拉斯估计精度提高的统计显著性。

Analysis of variance to assess statistical significance of Laplacian estimation accuracy improvement due to novel variable inter-ring distances concentric ring electrodes.

作者信息

Makeyev Oleksandr, Joe Cody, Lee Colin, Besio Walter G

出版信息

Annu Int Conf IEEE Eng Med Biol Soc. 2017 Jul;2017:4110-4113. doi: 10.1109/EMBC.2017.8037760.

DOI:10.1109/EMBC.2017.8037760
PMID:29060801
Abstract

Concentric ring electrodes have shown promise in non-invasive electrophysiological measurement demonstrating their superiority to conventional disc electrodes, in particular, in accuracy of Laplacian estimation. Recently, we have proposed novel variable inter-ring distances concentric ring electrodes. Analytic and finite element method modeling results for linearly increasing distances electrode configurations suggested they may decrease the truncation error resulting in more accurate Laplacian estimates compared to currently used constant inter-ring distances configurations. This study assesses statistical significance of Laplacian estimation accuracy improvement due to novel variable inter-ring distances concentric ring electrodes. Full factorial design of analysis of variance was used with one categorical and two numerical factors: the inter-ring distances, the electrode diameter, and the number of concentric rings in the electrode. The response variables were the Relative Error and the Maximum Error of Laplacian estimation computed using a finite element method model for each of the combinations of levels of three factors. Effects of the main factors and their interactions on Relative Error and Maximum Error were assessed and the obtained results suggest that all three factors have statistically significant effects in the model confirming the potential of using inter-ring distances as a means of improving accuracy of Laplacian estimation.

摘要

同心环电极在无创电生理测量中显示出了优势,证明了其相较于传统圆盘电极的优越性,尤其是在拉普拉斯估计的准确性方面。最近,我们提出了新型可变环间距同心环电极。线性增加距离的电极配置的解析和有限元方法建模结果表明,与目前使用的恒定环间距配置相比,它们可能会降低截断误差,从而实现更准确的拉普拉斯估计。本研究评估了新型可变环间距同心环电极在提高拉普拉斯估计准确性方面的统计学意义。采用全因子方差分析设计,其中包括一个分类因素和两个数值因素:环间距、电极直径和电极中的同心环数量。响应变量是使用有限元方法模型针对三个因素水平的每种组合计算得出的拉普拉斯估计的相对误差和最大误差。评估了主要因素及其相互作用对相对误差和最大误差的影响,所得结果表明,所有三个因素在模型中均具有统计学显著影响,证实了使用环间距作为提高拉普拉斯估计准确性手段的潜力。

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引用本文的文献

1
Solving the general inter-ring distances optimization problem for concentric ring electrodes to improve Laplacian estimation.解决同心环电极的一般环间距离优化问题,以提高拉普拉斯估计。
Biomed Eng Online. 2018 Aug 30;17(1):117. doi: 10.1186/s12938-018-0549-6.