Bayesian prediction of satisfaction indices via sequential analysis and experimental design in hybrid and full Bayesian frameworks

Autores

  • sarra belakhdar mathématique(statistique appliqué)
  • H. Merabet Laboratory of Applied Mathematics and Modeling; Department of Mathematics; University Frères Mentouri Constantine 1; Algeria

DOI:

https://doi.org/10.5269/bspm.77703

Resumo

This paper proposes a methodology for phase II clinical trials, grounded in both hybrid and fully Bayesian designs. The approach leverages predictive probabilities to monitor trial progress, particularly focusing on the probability of rejecting the null hypothesis and satisfaction index inversely related to the $p-value$. The methodology is applied to a negative binomial model, which is adapted to binary outcomes. This model allows for the estimation of the number of trials required to achieve a pre-specified success rate, thereby accounting for variability in observed outcomes. The proposed framework combines operational flexibility with statistical rigor, supporting interim decision-making based on futility or efficacy criteria. Ilustrative simulation demonstrate the clinical relevance of the approach, particularly its potential to optimize resource allocation, reduce patient risk, and expedite the evaluation of promising therapeutic candidates.

Biografia do Autor

  • H. Merabet, Laboratory of Applied Mathematics and Modeling; Department of Mathematics; University Frères Mentouri Constantine 1; Algeria

    Professor and university professor in the Department of Mathematics, University of Constantine 1, Algeria

Referências

1. Berry, D.A. . Interim analyzes in clinical trials: classical vs. Bayesian approaches. Statistics in medicine, 4(4), 521-526,(1985). https://doi.org/10.1002/sim.4780040412
2. Berry, D.A., Stangl, D. Bayesian biostatistics. CRC Press.(2018)
3. Chow, S.C., Chang, M. Adaptive design methods in clinical trials – a review. Orphanet Journal of Rare Diseases, 3, 11.(2008). https://doi.org/10.1186/1750-1172-3-11
4. Chow, S.C., Chang, M. Adaptive design methods in clinical trials. Chapman and Hall/CRC.(2006)
5. Chow, S.C., Corey, R., Lin, M. On the independence of data monitoring committee in adaptive design clinical trials. Journal of biopharmaceutical statistics, 22(4), 853-867.(2012). https://doi.org/10.1080/10543406.2012.676536
6. Djeridi, Z., Ghouar, A., Boulares, H., Bouye, M. Applications of the prediction of satisfaction design for monitoring single-arm phase II trials. Plos one, 19(9), e0305814, (2024)
7. Freedman, L. S., Spiegelhalter, D. J., Parmar, M. K. B. The what, why and how of Bayesian clinical trials monitoring. Statistics in Medicine, 13(13–14), 1371–1383.(1994). https://doi.org/10.1002/sim.4780131312
8. Labdaoui, A., Merabet, H. Frequentist Test in Bayesian Two-Stage Designs Applied in Experimental Trials,Bol. Soc. Paran. Mat. 2022
9. Lecoutre, B., Derzko, G., Grouin, JM . Bayesian predictive approach for inference about proportions. Statistics in Medicine, 14(9), 1057-1063.(1995). https://doi.org/10.1002/sim.4780140924
10. Lee, J.J., Feng, L. Randomized phase II designs in cancer clinical trials: Current status and future directions. Journal of Clinical Oncology, 23(18), 4450–4457. (2005). https://doi.org/10.1200/JCO.2005.03.197
11. Lee, J. J., Liu, D. D. A predictive probability design for phase II cancer clinical trials. Clinical Trials, 5(1), 93–106.(2008). https://doi.org/10.1177/1740774507089279
12. Lecoutre , B., Poitevineau , J. . The significance test controversy revisited . In The significance test controversy revisited: the fiducial Bayesian alternative. Berlin, Heidelberg: Springer Berlin Heidelberg. (pp. 41-54),(2022)
13. Merabet, H. Bayesian sequential analysis of clinical trials feedback. Statistica, 73(3), 363–377. (2013). https://doi.org/10.6092/issn.1973-2201/4330
14. Merabet, H., Labdaoui, A., Druilhet, P. Bayesian prediction for two-stage sequential analysis in clinical trials. Communications in Statistics-Theory and methods, 46(19), 9807-9816.(2017).
15. Merabet, H. Index and prediction of satisfaction in exponential models for clinical trials. Statistica, 64(3), 441-453.(2004a). https://doi.org/10.6092/issn.1973-2201/49
16. S. M Berry, B.P. Carlin, J.J Lee, P. Muller,Bayesian Adaptive Methods for Clinical Trials, Chapman Hall/CRC biostatistics series. , (2011).

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Publicado

2025-08-24

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belakhdar, sarra, & Merabet, H. (2025). Bayesian prediction of satisfaction indices via sequential analysis and experimental design in hybrid and full Bayesian frameworks. Boletim Da Sociedade Paranaense De Matemática, 43, 1-14. https://doi.org/10.5269/bspm.77703