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A Simple Algorithm in GMC Theory

机译:GMC理论中的一种简单算法

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摘要

Reference [1] introduced an aliased effect-number pattern (AENP) for regular fractional factorial designs and based on the new pattern proposed a general minimum lower-order confounding (GMC) criterion for choosing optimal designs.Reference [1] proved that the existing criteria,such as MA ([2]),CE ([3]) and MEC ([4]),can be obtained by functions of the AENP.But the calculation for the terms of AENP is complicated.In this paper we propose a simple method to calculate the terms of AENP,which can be done much easier than before.This method only makes use of the design matrix,compared with the defining contrast subgroup and its all alias cossets.The results are also extended to the case of block designs.
机译:参考文献[1]介绍了用于规则分数阶因子设计的别名效应数模式(AENP),并基于新的模式提出了用于选择最佳设计的通用最小低阶混杂(GMC)准则。[1]证明了现有的可以通过AENP的函数来获得MA([2]),CE([3])和MEC([4])等准则。但是AENP项的计算很复杂。一种简单的计算AENP项的方法,比以前容易得多。此方法仅使用设计矩阵,并与定义的对比度子组及其所有别名cosset进行比较。结果也扩展到了块设计。

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