Skip Navigation

Biometrika 1977 64(2):339-345; doi:10.1093/biomet/64.2.339
© 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 ECCLESTON, J. A.
Right arrow Articles by RUSSELL, K. G.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Adjusted orthogonality in nonorthogonal designs

J. A. ECCLESTON and K. G. RUSSELL

Department of Statistics, University of New South Wales Sydney

The concept of orthogonality of experimental designs and the factors of a design has been discussed by numerous authors and defined in a variety of ways which in general are equivalent. The analysis of experimental designs is simplified by the property of orthogonality. Non-orthogonal designs are usually analyzed by the method of reduction or adjustment of factors. Eccleston & Russell (1975) introduced the concept of orthogonality of adjusted factors. This is defined more generally here and several theorems are presented. It is shown that these results can be used to simplify the analysis of nonorthogonal designs, many of which exhibit some degree of adjusted orthogonality.

Key Words: Adjustment of factors • Adjusted orthogonality • Factorial experiment • Nonorthogonal design • Pairwise orthogonality


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.