Theoretical studies on Taguchi methods and their applications

在这项研究中，我们研究了田口方法的数学方面。重点研究了以下四个方面：1)信噪比的统计推断；2)正交表分析；3)在线质量控制；4)MT系统的理论分析。结果，我们得到了一些新的结果：改进的T方法，通过变点检测诊断过程的新方法，MT系统在异常检测中的应用，过饱和设计的新方法等。

In this research, we investigated the mathematical aspects of Taguchi method. Especially, we studied on the following four topics : i) statistical inference of SN ratio, ii) analysis of orthogonal array, iii) online quality control, iv) theoretical analysis of MT system. As a result, we obtained some new results : an improved version of T method, a new method for diagnosis of process by change-point detection, an application of MT system for outlier detection, a new method for supersaturated designs, and so on.