A connection between uniformity and aberration in regular fractions of two-level factorials

By Kai-Tai Fang, R. Mukerjee. 2000

132 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Industrial and Manufacturing Engineering, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/432323771a07486d696c9e4621e8686e3d2665f2

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In Computational Theory and Mathematics

In Industrial and Manufacturing Engineering

In Management Science and Operations Research

Citations in the corpus

Optimal mixed-level supersaturated design (2003, background): “Proof of Theorem 2 (15) just from the definition of discrepancy DðX; KÞ ( 6 ) and”
Majorization framework for balanced lattice designs (2005, background): “The lower bounds derived above for CL2-discrepancy and WL2-discrepancy are tighter than [9] and [6].”
A note on generalized aberration in factorial designs (2001, background): “Recently, Fang and Mukerjee (2000) obtained connections between uniformity in sense of the centered L 2 -discrepancy and the original wordlength pattern in regular 2-level factorials.”
Uniform fractional factorial designs (2012, background): “Fang and Mukerjee (2000) showed that for a two-level regular design D, the centered L2-discrepancy of D can be linearly expressed by its word-length pattern (A1(D),A2(D), . . . ,An(D)).”
Uniform supersaturated design and its construction (2002, unknown): “For example, Fang and Mukerjee [ 22 ] provided an analytic connection between uniformity”
Space-Filling Fractional Factorial Designs (2014, methodology): “Fang and Mukerjee (2000) derived an expression of CD for two-level regular designs in terms of word length pattern; Ma and Fang (2001) extended their result to nonregular fractional designs and also showed that WD can be expressed by the generalized word length pattern (GWP) for two- or three-level…”
${E(s^2)}$-Optimality and Minimum Discrepancy in 2-level Supersaturated Designs (2002, methodology): “Another measure used in constructing designs is the discrepancy, D(X) (Fang and Wang (1994), Fang and Mukerjee, Fang (2000), Lin, Winker and Zhang (2000), Fang, Ma and Winker (2002)).”
Indicator function and its application in two-level factorial designs (2003, background): “(15) Re-scale a two-level factorial design to [0, 1]s with levels at 1/4 and 3/4, a connection between aberration and uniformity is found by Fang and Mukerjee (2000).”