Accession Number:

ADA067273

Title:

A Bayesian Approach to Bioassay.

Personal Author(s):

Corporate Author:

FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS

Report Date:

1979-02-01

Abstract:

This article explains in general terms how some sequential bioassay methods like the stochastic approximation method or the up-and-down method are not in conformity with the likelihood principle. Irrespective of the sampling plan, the bioassay data may be analyzed in terms of the following simple prior probability model for the response probabilities. Let x1 x2 ... xm be the distinct dosage levels used in a bioassay experiment and let P1 P2 ... pm be the corresponding unknown response probabilities. Let U1 P1 and Ui Pi - Pi-11 - Pi-1, i 2, 3, ... m. The uis are regarded as mutually independent random variables taking values in the unit interval. The Pis then form a Markov chain. The means and the variances of the Pis are related to those of the uis in a rather simple fashion. The case where ui approx Beta1, lambda sub i is found to be particularly tractable for the analysis of bioassay data. Author

Descriptive Note:

Technical rept.,

Supplementary Note:

DOI: 10.21236/ADA067273

Pages:

0016

Subject Categories:

Contract Number:

NSF-MCS77-01661

Contract Number 2:

DAAG29-76-G-0238

File Size:

6.21MB