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Case-control isotonic regression for investigation of elevation in risk around a point source.

Diggle, Peter J. and Morris, S. E. and Morton-Jones, A. J. (1999) Case-control isotonic regression for investigation of elevation in risk around a point source. Statistics in Medicine, 18 (13). pp. 1605-1613.

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Abstract

Stone's isotonic regression method for analysing count data to estimate disease risk in relation to a point source of environmental pollution is now routinely used. This paper develops the corresponding procedure for case-control data consisting of the locations of individual cases with controls with associated covariate information. In this setting, the generalized likelihood ratio statistic to test the null hypothesis of constant risk against the alternative that risk is a monotone non-increasing function of distance from the point source is intractable. An approximate Monte Carlo test is described, extending an exact test proposed by Bithell for the situation in which there are no covariates. Interval estimates of risk as a function of distance from the point source are constructed by simulation of the sampling distribution of the isotonic regression estimator. The methodology is illustrated by two applications: one to the relative risk of larynx cancers and lung cancers near a now-disused industrial incinerator; the other to the risk of asthma in children in relation to distance of residence from the nearest main road.

Item Type: Article
Journal or Publication Title: Statistics in Medicine
Subjects: Q Science > QA Mathematics
Departments: Faculty of Health and Medicine > Medicine
VC's Office
Faculty of Science and Technology > Mathematics and Statistics
Faculty of Arts & Social Sciences > Politics & International Relations (Merged into PPR 2010-08-01)
ID Code: 19411
Deposited By: ep_ss_importer
Deposited On: 19 Nov 2008 14:08
Refereed?: Yes
Published?: Published
Last Modified: 26 Jul 2012 15:29
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/19411

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