title: On the use of historical control data to estimate dose response trends in quantal bioassay.
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.
authors.affiliation: Division of Public Health Sciences, Fred Hutchinson Cancer Research Center, Seattle, Washington 98104.
authors.forename: R L
authors.initials: RL
authors.lastname: Prentice
authors.forename: R T
authors.initials: RT
authors.lastname: Smythe
authors.forename: D
authors.initials: D
authors.lastname: Krewski
authors.forename: M
authors.initials: M
authors.lastname: Mason
mesh_terms: D000704:Analysis of Variance; D000818:Animals; D002273:Carcinogens / Q000633:toxicity*; D004305:Dose-Response Relationship, Drug; D008433:Mathematics; D051379:Mice; D009374:Neoplasms, Experimental / Q000139:chemically induced* / Q000473:pathology; D011789:Quantum Theory; D051381:Rats; D012016:Reference Values; D012107:Research Design; D014116:Toxicology / Q000379:methods*
chemical_list: D002273:Carcinogens