منابع مشابه
Bayesian Nonparametric Bioassay Estimation
Estimation of unknown pesticide levels in experimental samples is an important aspect of many agricultural and environmental studies. Such measurements are often made utilizing a “standard” dose response curve. This methodology compares the biological response of a target organism at known dosages to the response of the same organism exposed to an unknown sample. These “bioassays” are typically...
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The experimental design of animal bioassay studies—the numbers and placement of doses and the allotment of animals among doses—tends to adhere, if not to specified rules, then at least to strong conventions. In part, this is due to mandated procedures for testing done to support regulation, and in part, it is the codified conventional wisdom gleaned from may years of experience. But there is al...
متن کاملAn Efficient Bayesian Optimal Design for Logistic Model
Consider a Bayesian optimal design with many support points which poses the problem of collecting data with a few number of observations at each design point. Under such a scenario the asymptotic property of using Fisher information matrix for approximating the covariance matrix of posterior ML estimators might be doubtful. We suggest to use Bhattcharyya matrix in deriving the information matri...
متن کاملBayesian Optimum Design Criterion for Multi Models Discrimination
The problem of obtaining the optimum design, which is able to discriminate between several rival models has been considered in this paper. We give an optimality-criterion, using a Bayesian approach. This is an extension of the Bayesian KL-optimality to more than two models. A modification is made to deal with nested models. The proposed Bayesian optimality criterion is a weighted average, where...
متن کاملEfficient Experimental Design Strategies in Toxicology and Bioassay
Modelling in bioassay often uses linear or nonlinear logistic regression models, and relative potency is often the focus when two or more compounds are to be compared. Estimation in these settings is typically based on likelihood methods. Here, we focus on the 3-parameter model representation given in Finney (1978) in which the relative potency is a model parameter. Using key matrix results and...
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ژورنال
عنوان ژورنال: The Annals of Statistics
سال: 1983
ISSN: 0090-5364
DOI: 10.1214/aos/1176346254