Abstract
Analysing the interrelations between several exposure factors that affect the risk of developing a disease is an important aim in epidemiological studies. The relative risk is the perhaps most popular parameter for quantifying the strength of such interrelations. The paper introduces the concept of factorial relative risks as one possibility of generalizing the relative risk parameter to the context of several interrelated exposures. An axiomatic justification of the new parameter is given and it is outlined that the factorial relative risk of a single exposure factor in a multifactorial setting is a measure of its individual contribution to the joint effect of all considered exposures.
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References
CHRISTOFFEL, T., TERET, S.P. (1991): Epidemiology and the Law: Courts and Confidence Intervals. American Journal of Public Health, 81, 1661–1666.
EIDE, G.E., GEFELLER, O. (1995): Sequential and Average Attributable Fractions as Aids in the Selection of Preventive Strategies. Journal of Clinical Epidemiology, 48, 645–655.
HAMMER, P.L., HOLZMANN, R. (1992): Approximations of Pseudo-Boolean Functions; Applications to Game Theory. Zeitschrift für Operations Research, 36, 3–21.
LAGAKOS, S.W., MOSTELLER, F. (1986): Assigned Shares in Compensation for Radiation-Related Cancers. Risk Analysis, 6, 345–357.
LAND, M., GEFELLER, O. (1997): Variations on the Shapley Solution for Partitioning Risks in Epidemiology. In: O. Opitz and R. Klar (eds.): Classification, Data Analysis and Knowledge Organization. Proc. 20th Conf. GfKl, Freiburg, Springer, Heidelberg (in press).
ROBINS, J., GREENLAND, S. (1991): Estimability and Estimation of Expected Years of Life Lost due to a Hazardous Exposure. Statistics in Medicine, 10, 79–94.
ROTHMAN, K.J. (1986): Modern Epidemiology. Little, Brown, Boston.
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© 1998 Springer-Verlag Berlin · Heidelberg
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Land, M., Gefeller, O. (1998). A Multiplicative Approach to Partitioning the Risk of Disease. In: Balderjahn, I., Mathar, R., Schader, M. (eds) Classification, Data Analysis, and Data Highways. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-72087-1_8
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DOI: https://doi.org/10.1007/978-3-642-72087-1_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-63909-1
Online ISBN: 978-3-642-72087-1
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