On the use of historical control data to estimate dose response trends in quantal bioassay

Biometrics. 1992 Jun;48(2):459-78.

Abstract

New tests for trend in proportions, in the presence of historical control data, are proposed. One such test is a simple score statistic based on a binomial likelihood for the "current" study and beta-binomial likelihoods for each historical control series. A closely related trend statistic based on estimating equations is also proposed. Trend statistics that allow overdispersed proportions in the current study are also developed, including a version of Tarone's (1982, Biometrics 38, 215-220) test that acknowledges sampling variation in the beta distribution parameters, and a trend statistic based on estimating equations. Each such trend test is evaluated with respect to size and power under both binomial and beta-binomial sampling conditions for the current study, and illustrations are provided.

Publication types

  • Research Support, Non-U.S. Gov't
  • Research Support, U.S. Gov't, P.H.S.

MeSH terms

  • Analysis of Variance
  • Animals
  • Carcinogens / toxicity*
  • Dose-Response Relationship, Drug
  • Mathematics
  • Mice
  • Neoplasms, Experimental / chemically induced*
  • Neoplasms, Experimental / pathology
  • Quantum Theory
  • Rats
  • Reference Values
  • Research Design*
  • Toxicology / methods*

Substances

  • Carcinogens