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两个高水平因子在整区的裂区设计包含纯净效应的条件

发布时间:2018-12-29 19:37
【摘要】:部分因析(fractional factorial,简记为FF)设计是试验设计中常用到的一种设计.在试验设计中当某些因子的水平难以改变或控制时.完全随机的部分因析设计是很难实现的.此时常采用部分因析裂区(fractional factorial split-plot简记为FFSP)设计满足试验要求.在实际情况中一般不只存在二水平的因子,也会有高水平的因子.当—个试验设计中既有二水平因子又有四水平因子和八水平因子,且四水平因子和八水平因子较难改变时,一个2(n1+n2)-(k1+k2)4Wm8Wm混水平裂区设计就可以运用.本文主要讨论了有一个四水平因子和一个八水平因子及若干二水平因子在整区,若干二水平因子在子区的分辨度为Ⅲ或Ⅳ的混水平裂区设计,即2(n1+n2)-(k1+k2)4W18W1.设计,给出了包含各种纯净效应的充要条件和设计的构造方法.共分五章.第一章分为四部分,第一部分介绍了因子设计的重要性和应用.第二部分介绍了二水平部分因子设计.第三部分介绍了混水平设计.第四部分给出了裂区设计的应用背景和构造方法.第二章介绍了混合水平部分因析裂区设计的定义和符号.第三章介绍了分辨度为Ⅲ的2(n1+n2)-(k1+k2)4W18W1设计包含不同纯净效应的充要条件及相关设计的构造方法.第四章 介绍了分辨度为Ⅳ的2(m1+m2)-(k1+k2)4W18W1.设计包含不同纯净效应的一些条件及相关设计的构造方法.第五章对全文进行简要总结.
[Abstract]:The design of (fractional factorial, is often used in experimental design. In experimental design, when the level of certain factors is difficult to change or control. A completely random partial factorial design is difficult to implement. At this time, the (fractional factorial split-plot design of partial fracturing zone is often used to meet the test requirements. In practice, there are not only two-level factors, but also high-level factors. When there are two level factors, four level factors and eight level factors, and the four level factors and eight level factors are difficult to change, the design of a 2 (n 1 n 2)-(k 1 k 2) 4Wm8Wm horizontal crack zone can be applied. In this paper, we mainly discuss the design of mixed horizontal crack region with a four-level factor, an eight-level factor and several two-level factors in the whole region, and the resolution of some two-level factors in the subregion is 鈪,

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