Automatic generation of generalised regular factorial designs

Automatic generation of generalised regular factorial designs

The R package planor enables the user to search for, and construct, factorial designs satisfying given conditions. The user specifies the factors and their numbers of levels, the factorial terms which are assumed to be non-zero, and the subset of those which are to be estimated. Both block and treatment factors can be allowed for, and they may have either fixed or random effects, as well as hie...

PLANOR : an R package for the automatic generation of regular fractional factorial designs

Generation of Fractional Factorial Designs

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 signif...

Graph based isomorph-free generation of two-level regular fractional factorial designs

Article history: Received 2 August 2008 Received in revised form 1 July 2009 Accepted 2 July 2009 Available online 9 July 2009

Blocked Regular Fractional Factorial Designs With Minimum Aberration

This paper considers the construction of minimum aberration (MA) blocked factorial designs. Based on coding theory, the concept of minimum moment aberration due to Xu (2003) for unblocked designs is extended to blocked designs. The coding theory approach studies designs in a row-wise fashion and therefore links blocked designs with nonregular and supersaturated designs. A lower bound on blocked...