Additive isotonic regression models in epidemiology

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

Research output: Contribution to journalArticle

Abstract

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
Volume19
Issue number6
StatePublished - Mar 30 2000
Externally publishedYes

Fingerprint

Isotonic Regression
Case-control
Epidemiology
Regression Model
Monte Carlo Method
Methodology
Interval Estimation
Sex Ratio
Point Source
Risk Factors
Hypothesis Testing
Ionizing Radiation
Fathers
Monotonic
Monte Carlo method
Covariates
Dose
Siméon Denis Poisson
Adjustment
Count

ASJC Scopus subject areas

  • Epidemiology

Cite this

Morton-Jones, T., Diggle, P., Parker, L., Dickinson, H. O., & Binks, K. (2000). Additive isotonic regression models in epidemiology. Statistics in Medicine, 19(6), 849-859.

Additive isotonic regression models in epidemiology. / Morton-Jones, Tony; Diggle, Peter; Parker, Louise; Dickinson, Heather O.; Binks, Keith.

In: Statistics in Medicine, Vol. 19, No. 6, 30.03.2000, p. 849-859.

Research output: Contribution to journalArticle

Morton-Jones, T, Diggle, P, Parker, L, Dickinson, HO & Binks, K 2000, 'Additive isotonic regression models in epidemiology', Statistics in Medicine, vol. 19, no. 6, pp. 849-859.
Morton-Jones T, Diggle P, Parker L, Dickinson HO, Binks K. Additive isotonic regression models in epidemiology. Statistics in Medicine. 2000 Mar 30;19(6):849-859.
Morton-Jones, Tony ; Diggle, Peter ; Parker, Louise ; Dickinson, Heather O. ; Binks, Keith. / Additive isotonic regression models in epidemiology. In: Statistics in Medicine. 2000 ; Vol. 19, No. 6. pp. 849-859.
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