Department of Chemical Sciences, University of Padova, Via Marzolo 1, 35131 Padova, Italy.
Talanta. 2011 Dec 15;87:180-8. doi: 10.1016/j.talanta.2011.09.059. Epub 2011 Oct 12.
This paper reports the combined use of the nonparametric Theil-Sen (TS) regression technique and of the statistics of Lancaster-Quade (LQ) concerning the linear regression parameters to solve typical analytical problems, like method comparison, calculation of the uncertainty in the inverse regression, determination of the detection limit. The results of this new approach are compared to those obtained with appropriate reference methods, using simulated and real data sets. The nonparametric Theil-Sen regression technique appears a new robust tool for the problems considered because it is free from restrictive statistical constraints, avoids searching for the error nature on x and y, which may require long analysis times, and it is easy to use. The only drawback is that the intrinsic nature of the method may lead to a possible enlargement of the uncertainty interval of the discriminated concentration and to the determination of larger detection limits than those obtainable with the commonly used, less robust, regression techniques.
本文报告了非参数 Theil-Sen（TS）回归技术与 Lancaster-Quade（LQ）统计量的联合使用，涉及线性回归参数，以解决典型的分析问题，如方法比较、逆回归不确定性的计算、检测限的确定。使用模拟和实际数据集，将这种新方法的结果与适当的参考方法进行了比较。非参数 Theil-Sen 回归技术因其不受限制的统计约束，避免了对 x 和 y 的误差性质的搜索，这可能需要很长的分析时间，而且易于使用，因此成为所考虑问题的一种新的稳健工具。唯一的缺点是，该方法的内在性质可能导致被区分浓度的不确定区间的可能扩大，并确定比通常使用的、不那么稳健的回归技术更大的检测限。
