Additive isotonic regression models in epidemiology

Tony Morton-Jones, Peter Diggle, Louise Parker, Heather O. Dickinson, Keith Binks

Research output: Contribution to journalArticlepeer-review

29 Scopus citations


Stone's method for assessing disease risk around a point source through isotonic regression is routinely used in spatial epidemiology. It is useful in situations where the relationship of risk with exposure (distance being commonly used as a surrogate variable) is assumed monotonic but otherwise of unknown form. This paper extends this method to non-spatial epidemiology, where typically two or more risk factors are present. The methodology described is based on the additive isotonic model approach of Bacchetti; versions appropriate to count (Poisson) data and case-control (binomial) data are described. In both cases, adjustment for covariates is incorporated, and a Monte Carlo method of hypothesis testing and interval estimation is presented. The methodology is illustrated through a case-control example concerning the analysis of the possible effect of preconceptional external ionizing radiation doses on the sex ratio at birth among children of fathers working at the Sellafield nuclear installation, Cumbria, U.K. Copyright (C) 2000 John Wiley and Sons, Ltd.

Original languageEnglish (US)
Pages (from-to)849-859
Number of pages11
JournalStatistics in Medicine
Issue number6
StatePublished - Mar 30 2000
Externally publishedYes

ASJC Scopus subject areas

  • Epidemiology


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