Skip Navigation

Biometrika 1978 65(3):561-570; doi:10.1093/biomet/65.3.561
© 1978 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 HIROTSU, C.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Ordered alternatives for interaction effects

C. HIROTSU

Faculty of Engineering, University of Tokyo

The problem of testing hypotheses against ordered alternatives for treatment effects in a one-way layout is discussed by many authors; see, for example, Bartholomew (1959a, b; 1961). For interaction effects in a two-way layout, it is required to specify the ordered alternatives appropriate to practical situations and then to establish the test procedures. James (1961) defined an ordered alternative for a simple case. In the present paper several types of ordered alternatives are defined for the case of the two-factor interaction with one factor A indicating the treatments and the other factor B expressing the stages or degrees of the effects of A. For these ordered alternatives, appropriate methods for testing the null hypothesis are proposed. The powers of these test procedures are examined numerically for the seven different patterns of the alternatives. One real example from a drug experiment is shown as an illustration.

Key Words: Analysis of variance • Drug experiment • Interaction effect • Ordered alternative • Power comparison • Two-way analysis


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.