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析因试验中交互作用分析的SAS技术 总被引:2,自引:0,他引:2
本文剖析了析因试验中交互作用的意义 ,并介绍了用 SAS软件对达显著的交互作用继续分析的两种方法 .此两法具有重要的实用价值 . 相似文献
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本文利用正交试验,将析因设计、区组设计及统计分析统一于一张正交表上。该方法有良好的试验效果,并节省试验次数。 相似文献
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无重复试验的饱和设计可节省大量的试验时间和费用,带来较大的经济效益,饱和析因设计在实际应用中使用越来越多.但以往统计工作者大部分都是在试验响应变量服从连续分布(如正态分布,t分布,指数分布,Weibull分布等)和Pareto效应稀疏条件下研究的,一直以来还没有人对试验响应变量服从离散分布饱和析因设计进行过研究.本文就... 相似文献
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用参照设计刻画部分因析设计的特征对于构造近似饱和的因析设计是十分有效的, 因为此时的 参照设计很小. Mukerjee 和方开泰利用投影几何理论将一个正规对称部分因析裂区(FFSP)设计的附加字长型用其补子集表示出来, 然而其表示形式并不统一. 基于因析设计理论和编码理论之间 的联系,得到了联系一个正规对称或混合水平FFSP设计与其参照设计的附加字长型之间关系的一般而统一的组合等式, 根据这些等式进一步建立了通过参照设计来识别最小附加混杂对称或混合水平FFSP设计的一般而统一的规则. 相似文献
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本文介绍了在效应稀疏性的前提下venter和Steel提出的分析无重复析因试验数据的方法,并将它们和下降Lenth方法,下降Dong方法一起作了较全面的模拟比较。 相似文献
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由于试验材料、费用和时间等条件的限制,仅有单次重复试验的三水平析因设计经常要应用在农业、工业和医学临床试验等领域。例如,在医学临床试验中,为找到影响治疗关节炎效果的重要因子和最佳治疗方案需要考虑2个三水平的因子:A(药物治疗)和B(运动治疗),由于只能找到9位病情相似的病人进行试验,故只能实施仅有单次重复试验的三水平析因设计3~2。不幸的是,交互作用A×B也可能存在,这样就没有剩余自由度用于估计误差的方差,从而通常的方差分析方法不再能用于数据分析。针对上述问题,本文提出了三个基于均方误差的检验统计量用于分析单次重复试验的三水平析因设计。通过实例表明用这些方法不仅能检验所考虑因子的主效应,而且还能同时检验交互效应。相应检验所用的一些常用临界值提供在附录中。并且,还通过大量的模拟研究对所提出的三个检验方法进行了比较。结果显示,T_~((3))检验在三个检验方法中具有最大的功效。 相似文献
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Zhao Shengli 《应用概率统计》2015,31(3):320-336
The fractional factorial designs are widely used in various
experiments. The optimality theories and construction methods of the fractional factorial
designs are the core of the investigation on experimental designs. Many researchers have
investigated this issue since 1980. This paper gives a summary on the optimality theories
and construction methods of the regular fractional factorial designs. 相似文献
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Minimum secondary aberration fractional factorial split-plot designs in terms of consulting designs 总被引:1,自引:0,他引:1
AI Mingyao & ZHANG Runchu Key Laboratory of Pure Applied Mathematics School of Mathematical Sciences Peking University Beijing China Key Laboratory of Pure Mathematics Combinatorics School of Mathematical Sciences Nankai University Tianjin China 《中国科学A辑(英文版)》2006,49(4):494-512
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
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Indicator functions are new tools for studying two-level fractional factorial designs. This article discusses some properties
of indicator functions. Using indicator functions, we study the connection between general two-level factorial designs of
generalized resolutions. 相似文献
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Indicator functions are new tools to study fractional factorial designs. In this paper, we study indicator functions with
four words and provide possible forms of the indicator functions and explain their implications to two-level factorial designs. 相似文献
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This paper compares two forms of experimental design methods that may be used for the development of regression and neural network simulation metamodels. The experimental designs considered are full factorial designs and random designs. The paper shows that, for two example problems, neural network metamodels using a randomised experimental design produce more accurate and efficient metamodels than those produced by similar sized factorial designs with either regression or neural networks. The metamodelling techniques are compared by their ability to predict the results from two manufacturing systems that have different levels of complexity. The results of the comparison suggest that neural network metamodels outperform conventional regression metamodels, especially when data sets based on randomised simulation experimental designs are used to produce the metamodels rather than data sets from similar sized full factorial experimental designs. 相似文献
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混水平部分因析设计在各类试验中有广泛应用.纯净效应准则是用于选取最优部分因析设计的重要准则之一.本文考虑含有一个八水平因子、一个四水平因子和若干二水平因子的8×4×2~n混水平设计,给出了分辨度为Ⅲ和Ⅳ的该类混水平设计包含纯净两因子交互作用成分最大数的上界和下界.下界通过构造特定设计而得到. 相似文献
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Fractional factorial designs have played a prominent role in the theory and practice of experimental design.For designs with qualitative factors under an ANOVA model,the minimum aberration criterion has been frequently used;however,for designs with quantitative factors,a polynomial regression model is often established,thus theβ-wordlength pattern can be employed to compare different fractional factorial designs.Although theβ-wordlength pattern was introduced in 2004,its properties have not been investigated extensively.In this paper,we will present some properties ofβ-wordlength pattern for four-level designs.These properties can help find better designs with quantitative factors. 相似文献
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Hong Qin Ming-yao Ai Jian-hui Ning 《应用数学学报(英文版)》2005,21(4):545-552
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
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《European Journal of Operational Research》2002,138(1):142-154
For many years, metamodels have been used in simulation to provide approximations to the input–output functions provided by a simulation model. In this paper, metamodels based on radial basis functions are applied to approximate test functions known from the literature. These tests were conducted to gain insights into the behavior of these metamodels, their ease of computation and their ability to capture the shape and minima of the test functions. These metamodels are compared against polynomial metamodels by using surface and contour graphs of the error function (difference between metamodel and the given function) and by evaluating the numerical stability of the required computations. Full factorial and Latin hypercube designs were used to fit the metamodels. Graphical and statistical methods were used to analyze the test results. Factorial designs were generally more successful for fitting the test functions as compared to Latin hypercube designs. Radial basis function metamodels using factorial and Latin hypercube designs provided better fit than polynomial metamodels using full factorial designs. 相似文献
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Derek Bingham 《Discrete Mathematics》2006,306(14):1522-1533
With reference to regular fractional factorial split-plot designs, we consider a detailed wordlength pattern taking due cognizance of the distinction between the whole-plot and sub-plot factors. A generalized version of the MacWilliams’ identity is employed to express the detailed wordlength pattern in terms of complementary sets. Several special features make this result intrinsically different from the corresponding one in classical fractional factorial designs where all factors have the same status. An application to robust parameter designs is indicated and examples given. 相似文献