Investigations of excess environmental risks around putative sources: Statistical problems and a proposed test

Statistics in Medicine - Tập 7 Số 6 - Trang 649-660 - 1988
Richard A. Stone1
1CSIRO Division of Mathematics & Statistics, Private Bag 10, Clayton, Victoria 3168, Australia

Tóm tắt

AbstractIndividual reactions to a report which identifies an excess of risk near a putative source are determined mainly by some quoted significance level. One reaction, involving a commonly used ‘coincidence’ argument is given a simple Bayesian explanation. It is argued that interpretations of such reports should if possible allow both for data selection and for uncertainty in the null expectations underlying the significance levels. Tests are proposed, based on the first isotonic regression estimator under an order restriction, which allow for the effects of selecting a study region in the light of the data and have a simple form. Data on cancer incidence around two nuclear plants are used to illustrate.

Từ khóa


Tài liệu tham khảo

Bush M. F. H. ‘Leukaemia in East Suffolk’ East Suffolk Health Authority Report 1983.

Yorkshire Television ‘Windscale the nuclear laundry’ Documentary programme November1983.

Heasman M. A., 1986, Childhood leukaemia in Northern Scotland, Lancet, 1

10.1002/sim.4780040210

10.2307/2530819

10.1111/j.1469-1809.1940.tb02264.x

Parmar M. K. B. ‘Multiplicity in clinical trials and other medical studies’ D. Phil. Thesis University of Oxford 1986.

10.2307/2531009

Barlow R. E., 1972, Statistical Inference under Order Restrictions: the Theory and Application of Isotonic Regression

10.2307/2986312

10.1093/biomet/46.1-2.36

10.1080/01621459.1965.10480802

10.2307/2281642

10.1007/978-1-4899-2887-0

Black D., 1984, ‘Investigation of the possible increased incidence of cancer in West Cumbria

East Anglian Cancer Registry Annual reports.

Cordeiro G. M., 1983, Improved likelihood ratio statistics for generalized linear models, Journal of the Royal Statistical Society, Series B, 45, 404