Uniform fractional factorial designs

By Yu Tang, Hongquan Xu, Dennis K. J. Lin. 2012

79 citations recorded by the source corpus.

The minimum aberration criterion has been frequently used in the selection of fractional factorial designs with nominal factors. For designs with quantitative factors, however, level permutation of factors could alter their geometrical structures and statistical properties. In this paper uniformity is used to further distinguish fractional factorial designs, besides the minimum aberration criterion. We show that minimum aberration designs have low discrepancies on average. An efficient method for constructing uniform minimum aberration designs is proposed and optimal designs with 27 and 81 runs are obtained for practical use. These designs have good uniformity and are effective for studying quantitative factors.

Subfields: Electrical and Electronic Engineering, Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/2777cdcd1eb47b95b3e0c849e1f3675e7aa0534b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Electrical and Electronic Engineering

1. Yong-Dao Zhou
2. Hongquan Xu

In Management Science and Operations Research

1. Yong-Dao Zhou
2. Hongquan Xu

In Statistics and Probability

1. Yong-Dao Zhou
2. Hongquan Xu

Citations in the corpus

• Space-Filling Fractional Factorial Designs (2014, methodology): “APPENDIX: PROOFS To prove Lemma 1, we need the following lemma from Tang, Xu, and Lin (2012).”