Bayesian sequential analysis of clinical trials feedback


  • Hayet Merabet University of Constantine 1



Predictive methods, Bayesian analysis, Clinical Trials, p-value


The paper deals with the Bayesian sequential analysis of clinical trials and the related predictive approach in a particularly innovative fashion. We propose a unified methodology for sequential clinical trials under a Bayesian paradigm. The idea is to make predictive inference based on the data accrued so far together with future data. We apply a prevision based approach to Gaussian data and end up with some numerical illustrations.


S. M. BERRY, B. P. CARLIN, J. J. LEE, P. MULLER (2011). Bayesian Adaptive Methods for Clinical Trials. Chapman & Hall/CRC biostatistics series.

B. W. BROWN, J. HERSON, N. ATKINSON And M.E. ROZELL (1987). Projection from previous studies: A Bayesian and frequentist compromise. Controlled Clinical Trials, 8, pp. 29-44.

S. C. CHOI, P. A. PEPPLE (1989). Monitoring clinical trials based on predictive probability of significance. Biometrics, 45, pp. 317-3231.

S. C. CHOI, M. CHANG (2011). Adaptative Design Methods in clinical trials. Chapman & Hall/CRC. Biostatistics series.

A. GIOVAGNOLI, M. ZAGORAIOU (2012). Simulation of Clinical Trials: A Review with Emphasis on the Design Issues. Statistica, Volume 72, Issue 1, pp. 63-80.

A. P. GRIEVE (1992). Predictive probability in clinical trials. Biometrics, 41, pp. 979-990.

J. M. GROUIN (1994). Procédures bayésiennes prédictives pour les essais expérimentaux, thèse de doctorat de l'Université René Descartes. Paris.

E. HOLST , P.THYREGOD, PETER-TH. WILRICH (2001). On conformity testing and the use of two stages procedures. International Statistical Review, 69, 3, pp. 419-432.

J. T. HWANG, G. CASTELLA, C.P. ROBERT, M.T. WELLS, R.H. FARRELL (1992). Estimation of accuracy in testing. Ann. Statist., 1, pp. 490-509.

C.JENNISON, B.W.TURNBULL (2000). Group Sequential Method with Applications to Clinical Trials. Chapman and Hall/CRC Press, New York.

B. LECOUTRE, G. DERZKO, J. M. GROUIN (1995). Bayesian predictive approach for inference about proportions. Statistics in Medicine, 14, pp. 1057-1063.

H. MERABET, J. P. RAOULT (1995). Les indices de satisfaction, outils classiques et bayésiens pour la prédiction statistique. ASU, XXVIIèmes Journées de Statistique, Jouy-en-Josas.

H. MERABET (2004). Méthodologie des essais préliminaires. Calcul de prévision de satisfaction dans le cas Gaussien. Rev. Statistique Appliquée, LII (3), pp. 93-106.

H. MERABET (2004). Index and prevision of satisfaction in exponential models for clinical trials. Statistica. anno LXIV, 3, pp. 441-453.

P. MULLER, D. A. BERRY, A.P. GRIEVE, M. KRAMS (2006). A Bayesian decision-theoretic-dose finding trial. Decision analysis, 3, 4, pp. 197-207.

C. P. ROBERT, G. CASELLA (2004). Monte-Carlo Statistical Methods. 2nd Edition, Springer-Verlag.

A. O'HAGAN, J.W. STEVENS, M.J. CAMPBELL (2005). Assurance in clinical trial design. Pharmaceutical Statistics, 4, pp. 187-201.

C. P. ROBERT (2006). Le choix Bayésien. Springer, Paris.

G. YIN, N. CHEN, J. J. LEE (2012). Phase II trial design with Bayesian adaptive randomization and predictive probability. Journal of the Royal Statistical Soc, Volume 61, Issue 2, pp. 219-235




How to Cite

Merabet, H. (2013). Bayesian sequential analysis of clinical trials feedback. Statistica, 73(3), 363–377.