摘要翻译：
假设通过设置几个可控因素的水平来设计几个二值投入产出系统。针对这种情况，Taguchi方法提出了将可控因素分配到正交阵中，并利用方差分析模型得到标准化的SN比，这是评价各投入产出系统性能的一种自然度量。虽然该方法简单实用，但当标准比的估计标准误差不平衡时，其结果可能不可靠。本文将多个可控因子的全阶乘或分数阶乘设计得到的数据看作高维列联表的频率，并提出了可控因子的主效应或交互效应的一般检验方法。
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英文标题：
《Statistical testing procedure for the interaction effects of several
  controllable factors in two-valued input-output systems》
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作者：
Satoshi Aoki and Masami Miyakawa
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最新提交年份：
2007
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分类信息：

一级分类：Statistics        统计学
二级分类：Methodology        方法论
分类描述：Design, Surveys, Model Selection, Multiple Testing, Multivariate Methods, Signal and Image Processing, Time Series, Smoothing, Spatial Statistics, Survival Analysis, Nonparametric and Semiparametric Methods
设计，调查，模型选择，多重检验，多元方法，信号和图像处理，时间序列，平滑，空间统计，生存分析，非参数和半参数方法
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英文摘要：
  Suppose several two-valued input-output systems are designed by setting the levels of several controllable factors. For this situation, Taguchi method has proposed to assign the controllable factors to the orthogonal array and use ANOVA model for the standardized SN ratio, which is a natural measure for evaluating the performance of each input-output system. Though this procedure is simple and useful in application indeed, the result can be unreliable when the estimated standard errors of the standardized SN ratios are unbalanced. In this paper, we treat the data arising from the full factorial or fractional factorial designs of several controllable factors as the frequencies of high-dimensional contingency tables, and propose a general testing procedure for the main effects or the interaction effects of the controllable factors.
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PDF链接：
https://arxiv.org/pdf/706.2912