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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
Stable URL: http://www.jstor.org/stable/2958469
Page Count: 6
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Randomized Models and the Dilution and Bioassay Problems
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Abstract

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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