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1.
中心化L2偏差已被用来作为部分因析设计均匀性的度量,并用来区分几何非同构设计.中心化L2偏差均值也被用来度量部分因析设计均匀性,这样就可以对现有最小低阶混杂设计进行水平置换,从而获得中心化L2偏差最小的均匀最小低阶混杂设计.本文里,我们针对三水平部分因析设计讨论中心化L2偏差均值的性质,给出中心化L2偏差均值与正交性准则,最小低阶矩混杂准则之间的解析关系,同时给出中心化L2偏差均值的两个下界.  相似文献   

2.
2m-pⅣ设计的弱最小低阶混杂与最多纯净两因子交互效应   总被引:2,自引:2,他引:0  
纯净准则和最小低阶混杂准则是选择部分因析设计的两个重要准则.通过研究纯净两因子交互效应的个数,证明了某些2m-p设计具有弱最小低阶混杂,并给出了2m-p设计具有弱最小低阶混杂并包含最多纯净两因子交互效应的一些条件.同时给出了几个弱最小低阶混杂2m-p设计的例子,并构造了两个非同构的弱最小低阶混杂213-6设计.  相似文献   

3.
超饱和设计是一类重要的部分因析设计,因其在因子筛选试验中有重要作用而受到广泛关注.文章基于水平置换方式并对设计进行倍扩的方法,实现由规模较小且性质优良的设计来构造超饱和设计,并分别在E(fNOD),广义最小低价混杂和最小矩混杂等准则下讨论了所构造的超饱和设计的优良性质.最后,数值例子的结果验证了文章的理论结果.  相似文献   

4.
部分因析裂区设计最优分区组的理论   总被引:2,自引:2,他引:0       下载免费PDF全文
在最小低阶混杂和最大估计能力这两个准则下,研究了部分因析裂区(FFSP)设计的最优分区组的问题. 为了区分非同构的分区组FFSP设计发展了最小附加混杂(MSA)和最大附加估计能力(MSEC)准则, 并建立了通过分区组的参照设计来识别MSA或MSEC分区组FFSP设计的一般规则.  相似文献   

5.
纯净准则和最小低阶混杂准则是选择部分因析设计的两个重要准则.通过研究纯净两因子交互效应的个数,证明了某些2_(IV)~(m-p)设计具有弱最小低阶混杂,并给出了2_(IV)~(m-p)设计具有弱最小低阶混杂并包含最多纯净两因子交互效应的一些条件.同时给出了几个弱最小低阶混杂2_(IV)~(m-p)设计的例子,并构造了两个非同构的弱最小低阶混杂2_(IV)~(13-6)设计.  相似文献   

6.
众所周知,有多种准则可以用于比较和评价部分因析设计的优劣,在这些准则中,最小低阶矩混杂准则既简单明了,又计算量较小.但是,该准则中的各阶矩是基于任意两次试验之间的Hamming距离来定义的,由此导致了该准则具有一定的局限性.本文用Lee距离代替Hamming距离来定义新的矩,在此基础上提出了最小低阶Lee矩混杂准则,并用它来比较高水平部分因析设计的优劣.同时,本文通过建立最小低阶Lee矩混杂准则与其他设计筛选准则之间的解析关系,来验证这一新准则的统计合理性.  相似文献   

7.
纯净准则和最小低阶混杂准则是选择部分因析设计的两个重要准则. 通过研究纯净两因子交互效应的个数, 证明了某些2IVm- p设计具有弱最小低阶混杂, 并给出了2IVm- p设计具有弱最小低阶混杂并包含最多纯净两因子交互效应的一些条件. 同时给出了几个弱最小低阶混杂2IVm- p设计的例子, 并构造了两个非同构的弱最小低阶混杂2IVm- p设计.  相似文献   

8.
方开泰  覃红 《中国科学A辑》2004,34(4):418-428
从几何的角度研究二水平因子设计的投影性质. 基于一种类似于字长型的均匀性模式, 提出了用于比较二水平因子设计的均匀性分辨度和最小低阶投影均匀性两个准则, 并建立了最小低阶投影均匀性与最小低阶混杂、广义最小低阶混杂、正交性等准则之间的密切联系. 这些联系进一步揭示了均匀设计和因子设计之间的内在关系,对最小低阶混杂、广义最小低阶混杂、正交性等准则提供了合理的几何解释.  相似文献   

9.
本文用矩阵对称扩充来构造了具有高消失矩的3带对称双正交小波.利用矩阵扩充,获得了3维矩阵对称扩充方法和小波构造的算法,并且,该算法便于计算机程序化实现;利用两个实例验证了相关的结论.  相似文献   

10.
非黏滞阻尼模型相比传统黏滞阻尼模型能更准确描述结构材料的耗能行为,其本构关系常用核函数为指数函数的卷积形式表示.针对目前非黏滞阻尼结构的随机地震动响应分析方法所得结果较为复杂,该文提出了一种基于Clough-Penzien(C-P)谱的结构响应0~2阶谱矩分析的简明封闭解法.该方法首先提出非黏滞阻尼结构的精确等效微分本构关系式,并利用其与C-P谱滤波微分方程重构了结构的地震动方程;再基于随机振动理论获得了结构随机响应0~2阶谱矩的简明封闭解,并基于得到的0~2阶谱矩采用首次超越破坏准则和Markov分布规则进行了结构动力可靠度分析;最后通过算例论证了该简明封闭解的准确性及高效性.  相似文献   

11.
Both the clear effects and minimum aberration criteria are the important rules for the design selection. In this paper, it is proved that some 2IVm-p designs have weak minimum aberration, by considering the number of clear two-factor interactions in the designs. And some conditions are provided, under which a 2IVm-p design can have the maximum number of clear two-factor interactions and weak minimum aberration at the same time. Some weak minimum aberration 2IVm-p designs are provided for illustrations and two non-isomorphic weak minimum aberration 2IV13-6 designs are constructed at the end of this paper.  相似文献   

12.
Nonregular fractional factorial designs such as Plackett-Burman designs and other orthogonal arrays are widely used in various screening experiments for their run size economy and flexibility. In this paper, we study matrix image theory and present a new method for distinguishing and assessing nonregular designs with complex alias structure, which works for all symmetrical and asymmetrical, regular and nonregular orthogonal arrays. Based on the matrix image theory, our proposed method captures orthogonality and projection properties. Empirical studies show that the proposed method has a more precise differentiation capacity when comparing with some other criteria.  相似文献   

13.
A fundamental and practical question for fractional factorial designs is the issue of optimal factor assignment. Recently, some new criteria, such as generalized minimum aberration, WV-criterion, NB-criterion and uniformity criterion are proposed for comparing and selecting fractions. In this paper, we indicate that these criteria agree quite well for symmetrical fraction factorial designs.  相似文献   

14.
The complementary design theory is powerful for searching for an optimal design when its complementary design is smaller. This paper introduces a new class of sliced equidistance designs and develops the corresponding complementary design theory under the generalized minimum aberration criterion. Two rules are established to search for a generalized minimum aberration design through its complementary design in a sliced equidistance design. As a result, the developed theory covers the related results for the whole designs being saturated designs as special cases. Some examples are presented to illustrate its usefulness.  相似文献   

15.
It is very powerful for constructing nearly saturated factorial designs to characterize fractional factorial (FF) designs through their consulting designs when the consulting designs are small. Mukerjee and Fang employed the projective geometry theory to find the secondary wordlength pattern of a regular symmetrical fractional factorial split-plot (FFSP) design in terms of its complementary subset, but not in a unified form. In this paper, based on the connection between factorial design theory and coding theory, we obtain some general and unified combinatorial identities that relate the secondary wordlength pattern of a regular symmetrical or mixed-level FFSP design to that of its consulting design. According to these identities, we further establish some general and unified rules for identifying minimum secondary aberration, symmetrical or mixed-level, FFSP designs through their consulting designs.  相似文献   

16.
Split-plot designs have been widely used in industrial experiments.Up to now,most methods for choosing this kind of designs are based on the minimum aberration (MA) criterion.Recently,by introducing a new pattern,called aliased effect-number pattern (AENP),Zhang et al.proposed a general minimum lowerorder confounding (denoted by GMC for short) criterion and established a general minimum confounding (also denoted by GMC for saving notations) theory.It is proved that,the GMC criterion selects optimal designs ...  相似文献   

17.
Fractional factorial designs are popular and widely used for industrial experiments. Generalized minimum aberration is an important criterion recently proposed for both regular and non-regular designs. This paper provides a formal optimization treatment on optimal designs with generalized minimum aberration. New lower bounds and optimality results are developed for resolution-III designs. Based on these results, an effective computer search algorithm is provided for sub-design selection, and new optimal designs are reported.  相似文献   

18.
Both the clear effects and minimum aberration criteria are the important rules for the design selection. In this paper, it is proved that some 2m-p Ⅳ designs have weak minimum aberration, by considering the number of clear two-factor interactions in the designs.And some conditions are provided, under which a 2m-p Ⅳ design can have the maximum number of clear two-factor interactions and weak minimum aberration at the same time.Some weak minimum aberration 2m-p Ⅳ designs are provided for illustrations and two nonisomorphic weak minimum aberration 213-6 Ⅳ designs are constructed at the end of this paper.  相似文献   

19.
The first 5-(72, 6, 1) designs with automorphism group PSL(2, 71) were found by Mills [10]. We presently enumerate all 5-(72, 6, 1) designs with this automorphism group. There are in all 926299 non-isomorphic designs. We show that a necessary condition for semiregular5-(v, 6, 1) designs with automorphism group PSL(2, v 1) to exist is thatv=84, 228 (mod 360). In particular, there are exactly 3 non-isomorphic semiregular 5-(84, 6, 1) designs with automorphism group PSL(2, 83). There are at least 6450 non-isomorphic 5-(244, 6, 1) designs with automorphism group PL(2, 35).  相似文献   

20.
Many construction methods for (nearly) uniform designs have been proposed under the centered $L_2$ -discrepancy, and most of them are only suitable for constructing designs with small size. This paper proposes a new method, called mixture method (MM), to construct nearly symmetrical/asymmetrical uniform designs with large number of runs and/or large number of factors. The new method has the “better than given” property, i.e., the resulting design is better than existing designs in the sense of the pre-decided criterion. Moreover, the computational speed of MM is faster than most existing methods.  相似文献   

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