Graph based isomorph-free generation of two-level regular fractional factorial designs
نویسندگان
چکیده
Article history: Received 2 August 2008 Received in revised form 1 July 2009 Accepted 2 July 2009 Available online 9 July 2009
منابع مشابه
A Note on Dominating Fractional Factorial Two-Level Designs With Clear Two-Factor Interactions
This note builds on results from Wu, Mee and Tang‘s (2012) article (henceforth WMT) on admissible fractional factorial two-level designs, specifically concentrating on the “dominating designs” that have been introduced but not further pursued in WMT. WMT’s work has been used for increasing the efficiency of the author’s graph-based algorithm for creation of minimum aberration designs that keep ...
متن کاملSome optimal criteria of model-robustness for two-level non-regular fractional factorial designs
We present some optimal criteria to evaluate model-robustness of non-regular two-level fractional factorial designs. Our method is based on minimizing the sum of squares of all the off-diagonal elements in the information matrix, and considering expectation under appropriate distribution functions for unknown contamination of the interaction effects. By considering uniform distributions on symm...
متن کاملSelection 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, ...
متن کاملGeometric 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...
متن کاملGeneralized 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...
متن کامل