Sequential Search of an Optimal Dosage, II

Sequential search procedures are described for determining an optimal dosage in the following biomedical problem. People are subjected to a certain chemotheraputic treatment and on the one hand it is desirable to give each individual the maximal possible dosage. On the other hand, high doses create...

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Bibliographic Details
Main Author: Eichhorn,Benjamin H
Format: Report
Language:English
Subjects:
APPROXIMATION(MATHEMATICS)
DOSAGE
Medicine and Medical Research
OPTIMIZATION
REGRESSION ANALYSIS
SEARCH THEORY
SEQUENTIAL ANALYSIS
Statistics and Probability
STOCHASTIC APPROXIMATION
STOCHASTIC PROCESSES
TOXICITY
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Summary:Sequential search procedures are described for determining an optimal dosage in the following biomedical problem. People are subjected to a certain chemotheraputic treatment and on the one hand it is desirable to give each individual the maximal possible dosage. On the other hand, high doses create considerable toxicity, and it is undesirable to cross a certain limit of allowable toxicity level. The optimal dosage is defined as the maximal dose for which the proportion of patients in the population whose toxicity level will not cross the allowable limit is gamma. In the present paper the author discusses non-Bayesian sequential search procedures for the optimal dosage, assuming a linear regression between toxicity and dosage, and normal conditional distribution of the toxicity level at each dose. (Author) See also report dated 1 May 72, AD-742 447.