eScholarship Repository eScholarship Repository California Digital Library
eScholarship > UCLASTAT > PAPERS > Paper 2008010904

Statistics Papers

Statistics Website

Policies

Search Statistics

Submit a Paper

Notify me of new papers

institute_logo

Department of Statistics, UCLA
University of California, Los Angeles

Statistics Papers  •  Statistics Website  •  Policies  •  Search Statistics  •  Submit a Paper

Quarter-Fraction Factorial Designs Constructed via Quaternary Codes
Frederick Phoa, UCLA Department of Statistics
H Q. Xu

Download the Paper (271 K, PDF file) - January 9, 2008 Tell a colleague about it.
Printing Tips: Select 'print as image' in the Acrobat print dialog if you have trouble printing.

ABSTRACT:
The research of developing a general methodology for the construction of good nonregular designs has been very active in the last decade. Recent research by Xu and Wong (2007) suggested a new class of nonregular designs constructed from quaternary codes. This paper explores the properties and uses of quaternary codes towards the construction of quarter-fraction nonregular designs. Some theoretical results are obtained regarding the aliasing structure of such designs. Optimal designs are constructed under the maximum resolution, minimum aberration and maximum projectivity criteria. These designs often have larger generalized resolution and larger projectivity than regular designs of the same size. It is further shown that some of these designs have generalized minimum aberration and maximum projectivity among all possible designs.

SUGGESTED CITATION:
Frederick Phoa and H Q. Xu, "Quarter-Fraction Factorial Designs Constructed via Quaternary Codes" (January 9, 2008). Department of Statistics, UCLA. Department of Statistics Papers. Paper 2008010904.
http://repositories.cdlib.org/uclastat/papers/2008010904

 
bar
Open Archives Initiative eScholarship is a service of the California Digital Library bepress