Skip Navigation

Biometrika 2003 90(1):233-238; doi:10.1093/biomet/90.1.233
© 2003 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 Butler, N. A.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Miscellanea

Some theory for constructing minimum aberration fractional factorial designs

Neil A.Butler1

1 Department of Applied Statistics, University of Reading, Reading RG6 6FN, U.Kn.a.butler{at}reading.ac.uk

Minimum aberration is the most established criterion for selecting a regular fractional factorial design of maximum resolution. Minimum aberration designs for n runs and n/2 ≤ m < n factors have previously been constructed using the novel idea of complementary designs.In this paper, an alternative method of construction is developed by relating the wordlength pattern of designs to the so-called ‘confounding between experimental runs’. This allows minimum aberration designs to be constructed for n runs and 5n/16 ≤ m ≤ n/2 factors as well as for n/2 ≤ m < n.

Key Words: Aliasing; Defining contrast; Factor screening; Two-level design; Wordlength pattern

Received November 2001. Revised July 2002


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.