Skip Navigation

Biometrika 1977 64(1):73-77; doi:10.1093/biomet/64.1.73
© 1977 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 LITTELL, R. C.
Right arrow Articles by BOYETT, J. M.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Designs for R × C factorial paired comparison experiments

RAMON C. LITTELL and JAMES M. BOYETT

Department of Statistics, University of Florida Gainesville

Two designs for R × C factorial paired comparison experimente are compared, assuming the Bradley-Terry model. One design employs comparisons of all paira of the RC treatments, and the other degign restricts comparisons to those pairs which have the same level of one factor. Computation of maximum likelihood estimates under several hypotheses is considered for each design. The restricted design has administrative benefits because it requires comparison of fewer distinct pairs of treatments, and it permits simpler computation of the estimates. Asymptotic relative efficiencies of the associated likelihood ratio tests show the restricted design to be usually inferior for detecting main effects and superior for detecting interactions.

Key Words: Asymptotic relative efficiency • Bahadur efficiency • Bradley-Terry model


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.