The 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 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, 200...