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stat.ME2009
Generation of Fractional Factorial Designs
Roberto Fontana, Giovanni Pistone
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 o…
stat.ME2007
2-level fractional factorial designs which are the union of non trivial regular designs
Roberto Fontana, Giovanni Pistone
Every fraction is a union of points, which are trivial regular fractions. To characterize non trivial decomposition, we derive a condition for the inclusion of a regular fraction a…