Skip Navigation

Biometrika 1957 44(1-2):84-96; doi:10.1093/biomet/44.1-2.84
© 1957 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 BROWN, R. L.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

BIVARIATE STRUCTURAL RELATION

R. L. BROWN

British Coal Utilization Research Association Leatherhead, Surrey

Given n observations (xt, yt), each subject to an error of measurement ascertained independently, the existence of a structural relation for the true points (X, Y) is discussed. For a linear relation a Ø-number is defined from which either a confidence or a structural theory can be developed. The relation is treated in toto. Structural theory is described in terms of three hypotheses of regularity, which enable confidence and fiducial theories to be contrasted. It is shown that the theory provides a solution for the curvilinear relation wherein all the alternative hypotheses are incorporated, and it is suggested that the latter is a necessary requirement. The alternative hypothesis implicit in the Ø-number treatment of the linear relation is deduced from the general theory.


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


This article has been cited by other articles:


Home page
 JOURNAL OF EDUCATIONAL AND BEHAVIORAL STATISTICSHome page
R. Ecob and H. Goldstein
Instrumental Variable Methods for the Estimation of Test Score Reliability
Journal of Educational and Behavioral Statistics, January 1, 1983; 8(3): 223 - 241.
[Abstract] [PDF]


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.