Open AccessBook
Fractional Factorial Plans
Aloke Dey,Rahul Mukerjee +1 more
TLDR
Fractional plans and orthogonal arrays have been extensively studied in the literature, see as discussed by the authors for a survey of some of the most relevant works. But nonexistence of fractional plans has been discussed.Abstract:
Fractional Plans and Orthogonal Arrays. Symmetric Orthogonal Arrays. Asymmetric Orthogonal Arrays. Some Results on Nonexistence. More on Optimal Fractional Plans and Related Topics. Trend-Free Plans and Blocking. Some Further Developments. Appendix. References. Index.read more
Citations
More filters
Combinatorial properties of uniform designs and their applications in the constructions of low-discrepancy designs
TL;DR: The first part of this thesis will discuss combinatorial structures based on the discrete discrepancy, the wrap-around L2-discrepancy and the centered L 2- Discrepancy, respectively, which require uniform designs which achieve the minimal values of the corresponding discrepancy to have certain combinatorsial properties.
Posted Content
Unions of Orthogonal Arrays and their aberrations via Hilbert bases
Roberto Fontana,Fabio Rapallo +1 more
TL;DR: In this paper, the authors derived a formula for computing the (generalized) word length pattern of a union of OAs that makes use of their polynomial counting functions, and the best OAs according to the Generalized Minimum Aberration criterion can be found by simply exploring a relatively small set of counting functions.
Journal ArticleDOI
A unified approach in addition or deletion of two level factorial designs
TL;DR: In this paper, it was shown that adding a run in a n×p submatrix of a Hadamard matrix of order n is always better than deleting a single run from a (n+4)-submatrix in order to achieve the resolution III fraction of a 2p factorial in n runs.
Journal ArticleDOI
Schur- and E-Optimal Two-Level Factorial Designs
TL;DR: In this article, Schur-optimal two-level factorial designs under a second-order model are derived for 3 and 5 factors for all numbers of runs where the model is estimable.
Journal ArticleDOI
On the equivalence of definitions for regular fractions of mixed-level factorial designs
TL;DR: The notion of regularity for fractional factorial designs was originally defined only for two-level factorial design, and it was shown in this article that for mixed-level fractional designs, the character theory of finite Abelian groups can be used to define a defining relation for each regular fraction.
References
More filters
Journal ArticleDOI
Non-Orthogonal Designs of Even Resolution*
TL;DR: In this paper, it was shown that the smallest resolution 4 designs for n factors at two levels must contain at least 2n runs, and that "foldover" designs are available with 2 n runs.