Generation of Fractional Factorial Designs

Generalized Resolution and Minimum Aberration for Nonregular Fractional Factorial Designs

Seeking the optimal design with a given number of runs is a main problem in fractional factorial designs(FFDs). Resolution of a design is the most widely usage criterion, which is introduced by Box and Hunter(1961), used to be employed to regular FFDs. The resolution criterion is extended to non-regular FFG, called the generalized resolution criterion. This criterion is providing the idea of ge...

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

Optimal Fractional Factorial Split-plot Designs for Model Selection

Fractional factorial designs are used widely in screening experiments to identify significant effects. It is not always possible to perform the trials in a complete random order and hence, fractional factorial split-plot designs arise. In order to identify optimal fractional factorial split-plot designs in this setting, the Hellinger distance criterion (Bingham and Chipman (2007)) is adapted. T...

Selection of Non-Regular Fractional Factorial Designs When Some Two-Factor Interactions are Important

Non-regular two-level fractional factorial designs, such as Plackett–Burman designs, are becoming popular choices in many areas of scientific investigation due to their run size economy and flexibility. The run size of nonregular two-level factorial designs is a multiple of 4. They fill the gaps left by the regular twolevel fractional factorial designs whose run size is always a power of 2 (4, ...

Geometric Aliasing, Generalized Deening Relations, and Grr Obner Basis: a New Look at Multi-level Factorial Designs

Multi-level factorial designs are useful in experiments but their aliasing structure are complex compare to two-level fractional factorial designs. A new framework is proposed to study the complex aliasing of those designs. Geometric aliasing is deened for factorial designs. It generalize of the aliasing relation of regular two level fractional fac-torial designs to all factorial designs. Based...