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Randomized Models and the Dilution and Bioassay Problems
D. A. S. Fraser and R. L. Prentice
The Annals of Mathematical Statistics
Vol. 42, No. 1 (Feb., 1971), pp. 141-146
Published by: Institute of Mathematical Statistics
Stable URL: http://www.jstor.org/stable/2958469
Page Count: 6
You can always find the topics here!Topics: Administered dose, Dosage, Bioassay, Mathematical problems, Lethal dose 50, Medication administration, Random allocation, Statistical models, Parametric models, Inference
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Randomization has been proposed  for the dilution-series problem with the purpose of producing a continuous random variable; the randomization is performed by selecting a value from the uniform distribution (0, 1]. This paper develops a structural model appropriate to a range of problems involving such randomization as part of the design. The model applies to the dilution series problem and to the bioassay problem, and produces a posterior distribution for the primary parameter and a marginal likelihood for other parameters.
The Annals of Mathematical Statistics © 1971 Institute of Mathematical Statistics