Skip Navigation

Biometrika 2001 88(2):401-407; doi:10.1093/biomet/88.2.401
© 2001 by Biometrika Trust
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Tang, B.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Theory of J-characteristics for fractional factorial designs and projection justification of minimum G2-aberration

Boxin Tang1

1 Department of Mathematical Sciences, University of Memphis, Memphis, Tennessee 38152, U.S.Atangb{at}msci.memphis.edu

Deng & Tang (1999) introduced the generalised resolution and minimum G-aberration criteria for assessing nonregular fractional factorials.In Tang & Deng (1999), a relaxed variant of minimum G-aberration, called minimum G2-aberration, is proposed and studied. These criteria are defined using a set of J values, called J-characteristics. In this paper, we show that a factorial design is uniquely determined by its J-characteristics just as a regular factorial design is uniquely determined by its defining relation. The theorem is given through an explicit formula that relates the set of design points to that of J-characteristics. Through this formula, projection justification of minimum G2-aberration is established.

Key Words: Design equivalence; Hadamard matrix; Minimum aberration; Nonregular factorial design; Projection property; Resolution; Screening experiment

Received January 2000. Revised August 2000


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.