广义删除设计

Michael Kamau Gachii, J. Odhiambo
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引用次数: 0

摘要

本文利用删除技术在对称单重复因子设计的基础上构建了非对称单重复因子设计。这项研究是沿着Voss(1986), Chauhan(1989)和Gachii和Odhiambo(1997)的思路进行的。给出了形式为s n- m1 (s - L) m1的一般序删除设计的结果。对于1个小于或等于初步单重复广义循环设计的产生器数的条件下,是适当的。我们推广早期作者的结果。根据初步析因设计提供的信息,给出了确定删除设计的可估计析因效应集的结果。给出了计算块混淆导致的信息损失的简单公式。对初步析因设计中估计一组给定的相互作用所需的治疗组合数量的效率与最终的删除设计的效率进行比较。关键词:阶乘空间,广义循环设计,信息损失。非洲科学技术Vol.4(2) 2003: 72-79
本文章由计算机程序翻译,如有差异,请以英文原文为准。
GENERALISED DELETION DESIGNS
In this paper asymmetrical single replicate factorial designs are constructed from symmetrical single replicate factorial designs using the deletion technique. The study is along the lines of Voss(1986), Chauhan(1989) and Gachii and Odhiambo(1997). We give results for the general order deletion designs of the form s n-m 1 (s – L) m 1 . . which are proper, for 1 1 less than or equal to the number of generators of the preliminary single replicate generalized cyclic design. We generalize results by earlier authors. Results identifying the set of estimable factorial effects of the deletion designs based on the information available from the preliminary factorial design are given. Simple formulas for calculating the loss of information due to confounding with blocks are given. Efficiency with respect to the number of treatment combinations needed to estimate a given set of interactions of the preliminary factorial design is compared with that of the resulting deletion designs. Keywords and phrases: Factorial spaces, generalized cyclic designs, loss of information. African Journal of Science and Technology Vol.4(2) 2003: 72-79
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