Very large fractional factorial and central composite designs
Very large fractional factorial and central composite designs
复制标题
非常大的部分因子和中心复合设计
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
P. Sánchez
中科院分区：
文献类型：
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作者：
S. Sanchez;P. Sánchez
我们提出了一种分数阶乘的简洁表示形式以及一种快速生成分辨率V设计的算法。该描述基于一个被称为沃尔什函数的完备、正交离散值基组的性质。我们将二水平分辨率V分数阶乘设计以及允许估计全二阶模型的中心复合设计制成表格，适用于涉及多达120个因子的实验。所提供的简单算法可用于描述更大的设计，并且一种快速沃尔什变换方法可从我们的表示形式中快速生成设计矩阵。
We present a concise representation of fractional factorials and an algorithm to quickly generate resolution V designs. The description is based on properties of a complete, orthogonal discrete-valued basis set called Walsh functions. We tabulate two-level resolution V fractional factorial designs, as well as central composite designs allowing estimation of full second-order models, for experiments involving up to 120 factors. The simple algorithm provided can be used to characterize even larger designs, and a fast Walsh transform method quickly generates design matrices from our representation.