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On the Representativeness Assumption in Prevalence Tests of Carcinogenicity

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  • S. W. Lagakos
  • Louise M. Ryan

Abstract

Conditions for the validity of the Hoel‐Walburg and Peto tests, which compare dose groups with respect to tumour prevalence, are replaced by a more general condition, representativeness. A large carcinogenicity experiment provided a unique opportunity to assess empirically if this condition holds. Though representativeness was generally violated, neither the Hoel–Walburg nor the Peto tests were seriously distorted. Analytic considerations suggest that such robustness can occur in many situations.

Suggested Citation

  • S. W. Lagakos & Louise M. Ryan, 1985. "On the Representativeness Assumption in Prevalence Tests of Carcinogenicity," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 34(1), pages 54-62, March.
  • Handle: RePEc:bla:jorssc:v:34:y:1985:i:1:p:54-62
    DOI: 10.2307/2347885
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    Cited by:

    1. Christopher J. Portier & David G. Hoel, 1987. "Issues Concerning the Estimation of the TD50," Risk Analysis, John Wiley & Sons, vol. 7(4), pages 437-447, December.
    2. Moon, Hojin & Ahn, Hongshik & Kodell, Ralph L. & Pearce, Bruce A., 1999. "A comparison of a mixture likelihood method and the EM algorithm for an estimation problem in animal carcinogenicity studies," Computational Statistics & Data Analysis, Elsevier, vol. 31(2), pages 227-238, August.
    3. Chan, I. S. F. & Hillman, D. & Louis, T. A., 1998. "Treatment comparisons with screenable endpoints," Computational Statistics & Data Analysis, Elsevier, vol. 27(4), pages 401-419, June.
    4. Ahn, Hongshik & Moon, Hojin & Kim, Sunyoung & Kodell, Ralph L., 2002. "A Newton-based approach for attributing tumor lethality in animal carcinogenicity studies," Computational Statistics & Data Analysis, Elsevier, vol. 38(3), pages 263-283, January.

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