Summary
Some optimal adaptive allocation design was given by (2002) for phase III clinical trials involving two treatments having binary responses, but no covariate. We extend that idea to introduce an optimal adaptive allocation design for two treatments having some continuous responses. Moreover, we allow covariates in our model. Exact and limiting proportion of allocation for the proposed design are numerically evaluated.
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References
U. Bandyopadhyay and A. Biswas. Adaptive designs for normal responses with prognostics factors. Biometrika88:409–4192001.
R. H. Bartlett, D. W. Roloff, R. G. Cornell, A. F. Andrews, P. W. Dillon, and J. B. Zwischenberger. Extracorporeal circulation in neonatal respiratory failure: A prospective randomized trial. Pediatrics76:479–4871985.
A. Biswas and A. Dewanji. A randomized longitudinal play-the-winner design for repeated binary data. Australian and New Zealand Journal of Statistics2003.
S.D. Durham, N. Flournoy, and W. Li. Sequential designs for maximizing the probability of a favorable response. Canadian Journal of Statistics3:479–4951998.
B. Iglewicz. Alternative designs: sequential, multi-stage, decision theory and adaptive designs. In M.E. Buyse, J. Staquet, and R.J. Sylvester, editorsCancer Clinical Trials: Methods and Practice, pages 312–334. Oxford University Press, 1983.
A. Ivanova. A play-the-winner-type urn design with reduced variability. Metrika58:1–132003.
N. Mukhopadhyay. Sequential estimation of a linear function of means of three normal populations. J. Amer. Statist. Assoc71:149–1531976.
W.F. Rosenberger, N. Stallard, A. Ivanova, C.N. Harper, and M.L. Ricks. Optimal adaptive designs for binary response trials. Biometrics57:909–9132002.
C.C. Rout, D.A. Rocke, J. Levin, E. Gouws, and D. Reddy. A reevaluation of the role of crystalloid preload in the prevention of hypotension associated with spinal anesthesia for elective cesarean section. Anesthesiology79:262–2691993.
R.N. Tamura, D.E. Faries, J.S. Andersen, and J.H. Heiligenstein. A case study of an adaptive clinical trial in the treatment of out-patients with depressive disorder. J. Amer. Statist. Assoc89:768–7761994.
L.J. Wei. The generalized Polya’s urn for sequential medical trials. Ann. Statist7:291–2961979.
L.J. Wei and S. Durham. The randomized play-the-winner rule in medical trials. J. Am. Statist. Assoc.73:838–8431978.
M. Zelen. Play-the-winner rule and the controlled clinical trial. J. Am. Statist. Assoc.64:131–1461969.
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Biswas, A., Mandal, S. (2004). Optimal Adaptive Designs in Phase III Clinical Trials for Continuous Responses with Covariates. In: Di Bucchianico, A., Läuter, H., Wynn, H.P. (eds) mODa 7 — Advances in Model-Oriented Design and Analysis. Contributions to Statistics. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-2693-7_6
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DOI: https://doi.org/10.1007/978-3-7908-2693-7_6
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-0213-9
Online ISBN: 978-3-7908-2693-7
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