Generation of Fractional Factorial Designs

Details Generation of Fractional Factorial Designs Generation of Fractional Factorial Designs

2009-06-17

arxiv.org/abs/0906.3259v1

Statistics

Methodology

27 pages

Scientific paper

The joint use of counting functions, Hilbert basis and Markov basis allows to define a procedure to generate all the fractions that satisfy a given set of constraints in terms of orthogonality. The general case of mixed level designs, without restrictions on the number of levels of each factor (like primes or power of primes) is studied. This new methodology has been experimented on some significant classes of fractional factorial designs, including mixed level orthogonal arrays.

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