Accession Number : AD0751083

Title :   Bayes Sequential Search of an Optimal Dosage: The Case When Both the Slope and the Intercept of the Regression Line are Unknown.

Descriptive Note : Technical rept.,

Corporate Author : CASE WESTERN RESERVE UNIV CLEVELAND OHIO DEPT OF MATHEMATICS AND STATISTICS

Personal Author(s) : Eichhorn,B. H. ; Zacks,S.

Report Date : 01 NOV 1972

Pagination or Media Count : 24

Abstract : The problem of determining the optimal dosage is studied for the case of normal distribution of toxicity, with a linear dosage-toxicity relationship. Both the slope and the intercept of the regression line are unknown. The sequential procedure is derived within a Bayesian framework, assigning the unknown intercept, A, and slope, B, a prior bivariate normal distribution. Most of the paper is devoted to the problem of proving the consistency of this Bayes search procedure. It is proven that a discrete version of the procedure is strongly consistent. (Author)

Descriptors :   (*DRUGS, DOSAGE), (*DOSAGE, OPTIMIZATION), REGRESSION ANALYSIS, MATHEMATICAL MODELS, RANDOM VARIABLES, SEQUENTIAL ANALYSIS, PERMISSIBLE DOSAGE, TOXICITY, THEOREMS

Subject Categories : Pharmacology
      Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE