Abstract During the preliminary stage of a quality improvement process, identification of active location and dispersion effects is an important issue. After understanding the impacts of different factorial effects on the system response, a quality engineer can improve the system performance by adjusting the levels of identified factors. Based on the concept of generalized inference, a new testing procedure is proposed in this article; it can be used to identify active location effects from partially replicated two-level factorial designs. Moreover, a two-stage procedure is introduced for integrating the analyses of location and dispersion effects. Two real-world data sets are analyzed for illustrating our method. Based on the simulation results, it is further shown that the proposed method can maintain the empirical size sufficiently close to the nominal level and have satisfactory power. In addition, a catalog of partially replicated designs with a repeated quarter fraction is generated for practical applications.

中文翻译：

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从部分复制的两水平因子设计中检测位置和分散效应

摘要 在质量改进过程的初始阶段，识别活动位置和分散效应是一个重要问题。在了解不同因子效应对系统响应的影响后，质量工程师可以通过调整已识别因子的级别来提高系统性能。基于广义推理的概念，本文提出了一种新的测试程序；它可用于从部分复制的两水平因子设计中识别活动区位效应。此外，引入了一个两阶段程序来整合位置和分散效应的分析。分析了两个真实世界的数据集以说明我们的方法。根据仿真结果，进一步表明，所提出的方法可以保持经验大小足够接近标称水平，并具有令人满意的功效。此外，为实际应用生成了具有重复四分之一分数的部分复制设计目录。