Skip to main content

Quantitative Assessment of the Responsibility for the Disease Load in a Population

  • Conference paper
  • 2262 Accesses

Abstract

The concept of attributable risk (AR), introduced more than 50 years ago, quantifies the proportion of cases diseased due to a certain exposure (risk) factor. While valid approaches to the estimation of crude or adjusted AR exist, a problem remains concerning the attribution of AR to each of a set of several exposure factors. Inspired by mathematical game theory, namely, the axioms of fairness and the Shapley value, introduced by Shapley in 1953, the concept of partial AR has been developed. The partial AR offers a unique solution for allocating shares of AR to a number of exposure factors of interest, as illustrated by data from the German Göttingen Risk, Incidence, and Prevalence Study (G.R.I.P.S.).

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • BENICHOU, J. (1991): Methods of adjustment for estimating the attributable risk in case-control studies: a review. Statistics in Medicine, 10, 1753–1773.

    Google Scholar 

  • BRUZZI, P., GREEN, S.B., BYAR, D.P., BRINTON, L.A. and SCHAIRER, D. (1985): Estimating the population attributable risk for multiple risk factors using case-control data. American Journal of Epidemiology, 122, 904–914.

    Google Scholar 

  • COX, L.A. (1987): A new measure of attributable risk for public health applications. Management Science, 31, 800–813.

    Article  Google Scholar 

  • CREMER, P., NAGEL, D., LABROT, B., MUCHE, R., ELSTER, H., MANN, H. and SEIDEL, D. (1991): Göttinger Risiko-, Inzidenz-und Prävalenzstudie (GRIPS). Springer, Berlin.

    Google Scholar 

  • EIDE, G.E. and GEFELLER, O. (1995): Sequential and average attributable fractions as aids in the selection of preventive strategies. Journal of Clinical Epidemiology, 48, 645–655.

    Article  Google Scholar 

  • EIDE, G.E. and HEUCH, I. (2001): Attributable fractions: fundamental concepts and their visualization. Statistical Methods in Medical Research, 10, 159–193.

    Article  MATH  Google Scholar 

  • GEFELLER, O. (1992): Comparison of adjusted attributable risk estimators. Statistics in Medicine, 11, 2083–2091.

    Google Scholar 

  • GEFELLER, O. and EIDE, G.E. (1993): Adjusting attributable risk versus partitioning attributable risk. Statistics in Medicine, 12, 91–94.

    Google Scholar 

  • GEFELLER, O., LAND, M. and EIDE, G.E. (1998): Averaging attributable fractions in the multifactorial situation: assumptions and interpretation. Journal of Clinical Epidemiology, 51, 437–441.

    Article  Google Scholar 

  • LAND, M. and GEFELLER, O. (1997): A game-theoretic approach to partitioning attributable risks in epidemiology. Biometrical Journal, 39, 777–792.

    MathSciNet  MATH  Google Scholar 

  • LAND, M., VOGEL, C. and GEFELLER, O. (2001): A multifactorial variant of the attributable risk for groups of exposure variables. Biometrical Journal, 43, 461–481.

    Article  MathSciNet  MATH  Google Scholar 

  • LEVIN, M.L. (1953): The occurrence of lung cancer in man. Acta Unio Internationalis Contra Cancrum, 9, 531–541.

    Google Scholar 

  • MIETTINEN, O.S. (1974): Proportion of disease caused or prevented by a given exposure, trait or intervention. American Journal of Epidemiology, 99, 325–332.

    Google Scholar 

  • ROWE, A.K., POWELL, K.E. and FLANDERS, D. (2004): Why Population Attributable Fractions Can Sum to More Than One. American Journal of Preventive Medicine, 26, 243–249.

    Article  Google Scholar 

  • SHAPLEY, L.S. (1953): A value for n-person games. In: H. Kuhn and A. Tucker (Eds.): Contributions to the theory of games II. Ann. Math. Studies 28. 307–317.

    Google Scholar 

  • UTER, W. and PFAHLBERG, A. (1999): The concept of attributable risk in epidemiological practice. Biometrical Journal, 41, 1–9.

    Article  Google Scholar 

  • WALTER, S.D. (1976): The estimation and interpretation of attributable risk in health research Biometrics, 32, 829–849.

    MATH  Google Scholar 

  • WHITTEMORE, A.S. (1982): Statistical methods for estimating attributable risk from retrospective data. Statistics in Medicine, 1, 229–24.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin · Heidelberg

About this paper

Cite this paper

Uter, W., Gefeller, O. (2005). Quantitative Assessment of the Responsibility for the Disease Load in a Population. In: Weihs, C., Gaul, W. (eds) Classification — the Ubiquitous Challenge. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-28084-7_10

Download citation

Publish with us

Policies and ethics