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February, 1971 Randomized Models and the Dilution and Bioassay Problems
D. A. S. Fraser, R. L. Prentice
Ann. Math. Statist. 42(1): 141-146 (February, 1971). DOI: 10.1214/aoms/1177693501


Randomization has been proposed [1] 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.


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D. A. S. Fraser. R. L. Prentice. "Randomized Models and the Dilution and Bioassay Problems." Ann. Math. Statist. 42 (1) 141 - 146, February, 1971.


Published: February, 1971
First available in Project Euclid: 27 April 2007

zbMATH: 0217.52001
MathSciNet: MR278481
Digital Object Identifier: 10.1214/aoms/1177693501

Rights: Copyright © 1971 Institute of Mathematical Statistics

Vol.42 • No. 1 • February, 1971
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