Structure of fractional factorial designs derived from two-symbol balanced arrays and their resolution

Balanced Arrays and 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...

Cluster Orthogonal Arrays and Optimal Fractional Factorial Designs

A generalization of orthogonal arrays, namely cluster orthogonal arrays (CLOA), is introduced and some properties and construction methods are studied. The universal optimality of the fractional factorial designs represented by cluster orthogonal arrays is proved.

Multistratum Fractional Factorial Designs

Recent work on multistratum fractional factorial designs is set in a general and unified framework, and a criterion for selecting multistratum fractional factorial designs that takes stratum variances into account is proposed. Application of the general theory is illustrated on designs of experiments with multiple processing stages, including split-lot designs, blocked strip-plot designs, and p...

Balanced Arrays of Strength Two from Block Designs

Some constructions of balanced arrays of strength two are provided by use of rectangular designs, group divisible designs, and nested balanced incomplete block designs. Some series of such arrays are also presented as well as orthogonal arrays, with illustrations. # 2002 Wiley Periodicals, Inc. J Combin Designs 10: 303–312, 2002; Published online in Wiley InterScience (www.interscience.wiley.co...