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Journal of the American Statistical Association Volume 73, 1978 - Issue 362
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Theory and Method

Sequential Medical Trials for Comparing an Experimental with a Standard Treatment

A. John Petkau Department of Mathematics, University of British Columbia, Vancouver, British Columbia, Canada, V6T 1W5
Pages 328-338 | Received 01 Jan 1976, Published online: 05 Apr 2012

References

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  • Armitage , Peter . “Some Developments in the Theory and Practice of Sequential Medical Trials,” . Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability . Vol. IV , pp. 791 – 804 .
  • Breakwell , John and Chernoff , Herman . 1962 . “Sequential Tests for the Mean of a Normal Distribution II,” . Annals of Mathematical Statistics , 35 : 162 – 173 .
  • Canner , Paul L. 1970 . “Selecting One of Two Treatments When the Responses Are Dichotomous,” . Journal of the Americal Statistical Association , 65 : 293 – 306 .
  • Chernoff , Herman . 1965a . “Sequential Tests for the Mean of a Normal Distribution III,” . Annals of Mathematical Statistics , 36 : 28 – 54 .
  • Chernoff , Herman . 1965b . “Sequential Tests for the Mean of a Normal Distribution IV,” . Annals of Mathematical Statistics , 36 : 55 – 68 .
  • Chernoff , Herman . “Sequential Models for Clinical Trials,” . Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability . Vol. IV , pp. 805 – 812 .
  • Chernoff , Herman . 1968 . “Optimal Stochastic Control,” . Sankhyā, Ser. A , 30 : 221 – 252 .
  • Chernoff , Herman and Petkau , John A. 1976 . “An Optimal Stopping Problem for Sums of Dichotomous Random Variables,” . Annals of Probability , 4 : 875 – 889 .
  • Chernoff , Herman and Ray , S. N. 1965 . “A Bayes Sequential Sampling Inspection Plan,” . Annals of Mathematical Statistics , 36 : 1387 – 1407 .
  • Donner , Allan P. 1971 . “One and Two-Stage Models for Comparing an Experimental Treatment with a Standard,” , Department of Statistics, Harvard University . Technical Report No. 36
  • Ehrenfeld , S. 1970 . “On a Scheduling Problem in Sequential Analysis,” . Annals of Mathematical Statistics , 41 : 1206 – 1212 .
  • Ferguson , Thomas S. 1967 . Mathematical Statistics: A Decision Theoretic Approach , New York : Academic Press .
  • Petkau , John A. 1975 . “Sequential Medical Trials for Comparing an Experimental with a Standard Treatment,” , Department of Statistics, Stanford University . Technical Report No. 221
  • Suzuki , Yukio . 1966 . “On Sequential Decision Problems with Delayed Observations,” . Annals of the Institute of Statistical Mathematics , 18 : 229 – 267 .
  • Weinstein , Milton C. 1974 . “Allocation of Subjects in Medical Experiments,” . New England Journal of Medicine , 291 : 1278 – 1285 .

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