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Uniform fractional factorial designs [PDF]
Published in at http://dx.doi.org/10.1214/12-AOS987 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Tang, Yu+2 more
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FRACTION: A computer program for fractional factorial design [PDF]
Factorial designs are used efficiently and effectively to carry out experiments involving multiple independent variables needed to explain complex human behavior. These designs are not feasible, however, when a study requires a large and, in some cases, prohibitive number of measurements on the same subjects (within-subjects designs) or on groups of ...
Richard J. Shavelson, Jamal Abedi
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Generation of Fractional Factorial Designs [PDF]
27 ...
Fontana, Roberto, Pistone, Giovanni
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On the Isomorphism of Fractional Factorial Designs [PDF]
AbstractTwo fractional factorial designs are called isomorphic if one can be obtained from the other by relabeling the factors, reordering the runs, and switching the levels of factors. To identify the isomorphism of two s-factor n-run designs is known to be an NP hard problem, when n and s increase.
Dennis K.J. Lin+2 more
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Saving runs in fractional factorial designs [PDF]
When it is known a priori that some contrasts are negligible in a factorial design, their expressions can be used to deduce the missing results. In this article we propose a method for using this procedure when, as in the case of fractional designs, it is not known which contrasts will be null.
Grima Cintas, Pedro+2 more
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Wordlength enumerator for fractional factorial designs
While the minimum aberration criterion is popular for selecting good designs with qualitative factors under an ANOVA model, the minimum $\beta$-aberration criterion is more suitable for selecting designs with quantitative factors under a polynomial model. In this paper, we propose the concept of wordlength enumerator to unify these two criteria.
Tang, Yu, Xu, Hongquan
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Minimax design criterion for fractional factorial designs [PDF]
An A-optimal minimax design criterion is proposed to construct fractional factorial designs, which extends the study of the D-optimal minimax design criterion in Lin and Zhou (Canadian Journal of Statistics 41, 325–340, 2013). The resulting A-optimal and D-optimal minimax designs minimize, respectively, the maximum trace and determinant
Julie Zhou, Yue Yin
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Recent developments in nonregular fractional factorial designs
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. The traditional analysis focuses on main effects only. Hamada and Wu (1992) went beyond the traditional approach and proposed an analysis strategy to demonstrate
Hongquan Xu+2 more
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Space-Filling Fractional Factorial Designs [PDF]
Fractional factorial designs are widely used in various scientific investigations and industrial applications. Level permutation of factors could alter their geometrical structures and statistical properties. This article studies space-filling properties of fractional factorial designs under two commonly used space-filling measures, discrepancy and ...
Hongquan Xu, Yong-Dao Zhou
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On sum composition of fractional factorial designs [PDF]
Combinatorial extension and composition methods have been extensively used in the construction of block designs. One of the composition methods, namely the direct product or Kronecker product method was utilized by Chakravarti [1956] to produce certain types of fractional factorial designs.
B. L. Raktoe, J. Joiner, W. T. Federer
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