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Combinatorial Equivalence of Fractional Factorial Designs
Communications in Statistics - Simulation and Computation, 2014Two symmetrical fractional factorial designs are said to be combinatorially equivalent if one design can be obtained from another by reordering the runs, relabeling the factors and relabeling the levels of one or more factors. This article presents concepts of ordered distance frequency matrix, distance frequency vector, and reduced distance frequency ...
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2016
In the two-level experiment with k input factors, there are 2 k possible runs. For k = 3, there are only eight runs. But even with five factors, 25 = 32 runs may be prohibitively expensive and time consuming. The question is whether it is possible to use some subset of all possible runs and still be able to fit a first order polynomial approximation to
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In the two-level experiment with k input factors, there are 2 k possible runs. For k = 3, there are only eight runs. But even with five factors, 25 = 32 runs may be prohibitively expensive and time consuming. The question is whether it is possible to use some subset of all possible runs and still be able to fit a first order polynomial approximation to
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Tripling of fractional factorial designs
Journal of Statistical Planning and Inference, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ou, Zujun, Zhang, Minghui, Qin, Hong
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D‐optimal minimax fractional factorial designs
Canadian Journal of Statistics, 2013AbstractThe D‐optimal minimax criterion is proposed to construct fractional factorial designs. The resulting designs are very efficient, and robust against misspecification of the effects in the linear model. The criterion was first proposed by Wilmut & Zhou (2011); their work is limited to two‐level factorial designs, however.
Lin, Dennis K. J., Zhou, Julie
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Applied Factorial and Fractional Designs.
Applied Statistics, 1985Kinley Larntz +2 more
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Two-Level Factorial and Fractional Factorial Designs
2002The design of two-level blocked and split-plot experiments has recently received a considerable amount of attention in the literature. In this chapter, we will give a brief overview of the recent developments. First, we introduce the 2 m and 2 m−f factorial designs and the concepts of resolution and aberration.
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Algebraic Generation of Orthogonal Fractional Factorial Designs
2013The joint use of counting functions, Hilbert basis, and Markov basis allows to define a procedure to generate all the fractional factorial designs that satisfy a given set of constraints in terms of orthogonality [Fontana, Pistone and Rogantin (JSPI, 2000), Pistone and Rogantin (JSPI, 2008)]. The general case of mixed level designs without restrictions
FONTANA, ROBERTO, PISTONE, Giovanni
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Augmenting Fractional Factorial Designs
2009Fractional factorial designs should often be followed by additional experimentation, either with another designed experiment or with confirmation runs. This chapter surveys the options and then discusses several particularly common situations.
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Fractional Factorial Designs: The Basics
2009This chapter presents the essential ideas of regular fractional factorial designs. Its sections are as follows: Section 5.1. Initial Fractional Factorial Example Section 5.2. Introduction to Regular Fractional Factorial Designs Section 5.3. Basic Analysis of Regular Fractional Factorial Designs Following this introductory chapter on fractional ...
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