Very large fractional factorial and central composite designs
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Authors
Sanchez, Susan M.
Sanchez, Paul J.
Subjects
Experimental design
statistical computing
experimentation
theory
design of experiments
Walsh functions
simulation experiments
statistical computing
experimentation
theory
design of experiments
Walsh functions
simulation experiments
Advisors
Date of Issue
2005-10
Date
Publisher
ACM
Language
Abstract
We present a concise representation of fractional factorials and an algorithm to quickly generate resolution V designs. The description is based on properties of a complete, orthogonal discrete-values basis set called Walsh functions. We tabulate two-level resolution V fractional factorial designs, as well as central composite designs allowing estimation of full second-order models, for experiments involving up to 120 factors. The simple algorithm provided can be used to characterize even larger designs, and a fast Walsh transform method quickly generates design matrices from our representation.
Type
Article
Description
The article of record as published may be located at http://dx.doi.org/10.1145/1113316.1113320
Series/Report No
Department
Operations Research (OR)
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NPS Report Number
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Format
Citation
ACM Transactions on Modeling and Computer Sismulation (TOMACS), v.15, no.4, October 2005, pp. 362-377.