Skip Navigation

Biometrika 1997 84(1):231-234; doi:10.1093/biomet/84.1.231
© 1997 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 CARROLL, R. J.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

MISCELLANEA

Surprising effects of measurement error on an aggregate data estimator

R. J. CARROLL

Department of Statistics, Texas A&M University, College Station Texas 77843-31 43, U.S.A. e-mail: carroll{at}stat.tamu.edu

In a generalised linear model with a single, normally distributed covariate, for the most part the effect of normally distributed additive measurement error is attenuation, i.e. asymptotic bias towards the null. Prentice & Sheppard (1995) suggested a marginalised random effects approach to combining the results of different studies on binary outcomes. We show that, in probit regression, when the number of observations per study is large, under the stated normality assumptions attenuation never occurs. In fact, the asymptotic bias is away from the null. This appears to be the first known case under reasonable distributional assumptions that the effect of measurement error is reverse-attenuation.

Key Words: Aggregate data • Attenuation • Covariate measurement error • Ecological study • study; Measurement error model • Random effects • Relative risk


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
 Int J EpidemiolHome page
S. Greenland
Ecologic versus individual-level sources of bias in ecologic estimates of contextual health effects
Int. J. Epidemiol., December 1, 2001; 30(6): 1343 - 1350.
[Abstract] [Full Text] [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.