Sequential Search of Optimal Dosages: The Linear Regression Case.
CASE WESTERN RESERVE UNIV CLEVELAND OHIO DEPT OF MATHEMATICS AND STATISTICS
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The present paper summarizes all the previous results of the authors in the area of sequential search of optimal dosages, under linear regression of dosage-toxicity. The optimal dosage is defined as the largest dosage for which the probability that the patients toxicity does not exceed a given threshold is at least gamma, 0 gamma 1. The search problem is a valid design problem when some or all of the regression parameters are unknown. In the present paper we provide a general introductory discussion concerning the applicability of the derives procedures, set up the general criteria and present the various sequential methods of on-line experimentation, which search for the location of the optimal dosage. Author