Seamless Clinical Trials with Doubly Adaptive Biased Coin Designs
Volume 1, Issue 3 (2023), pp. 314–322
Pub. online: 1 March 2023
Type: Biomedical Research
Open Access
Accepted
29 January 2023
29 January 2023
Published
1 March 2023
1 March 2023
Abstract
In addition to scientific questions, clinical trialists often explore or require other design features, such as increasing the power while controlling the type I error rate, minimizing unnecessary exposure to inferior treatments, and comparing multiple treatments in one clinical trial. We propose implementing adaptive seamless design (ASD) with response adaptive randomization (RAR) to satisfy various clinical trials’ design objectives. However, the combination of ASD and RAR poses a challenge in controlling the type I error rate. In this paper, we investigated how to utilize the advantages of the two adaptive methods and control the type I error rate. We offered the theoretical foundation for this procedure. Numerical studies demonstrated that our methods could achieve efficient and ethical objectives while controlling the type I error rate.
References
Andersen, J. S. (1996). Clinical trial designs—made to order. Journal of Biopharmaceutical Statistics 6(4) 515–522. https://doi.org/10.1198/016214503000000576. MR2011680
Antognini, A. B. and Giovagnoli, A. (2010). Compound optimal allocation for individual and collective ethics in binary clinical trials. Biometrika 97(4) 935–946. https://doi.org/10.1214/aos/1079120137. MR2051008
Atkinson, A. C. and Biswas, A. (2005). Bayesian Adaptive Biased-Coin Designs for Clinical Trials with Normal Responses. Biometrics 61(1) 118–125. https://doi.org/10.1214/08-AOS655. MR2543702
Bauer, P. and Köhne, K. (1994). Evaluation of experiments with adaptive interim analyses. Biometrics 50(4) 1029–1041. https://doi.org/10.1002/sim.3578. MR2675244
Berry, D. A. (2004). Bayesian statistics and the efficiency and ethics of clinical trials. Statistical Science 19(1) 175–187. https://doi.org/10.1111/j.0006-341X.2002.00823.x. MR1945019
Biswas, A., Mandal, S. and Bhattacharya, R. (2011). Multi-treatment optimal response-adaptive designs for phase III clinical trials. Journal of the Korean Statistical Society 40(1) 33–44. https://doi.org/10.1081/BIP-200062857. MR2190575
Bowden, J. and Glimm, E. (2008). Unbiased estimation of selected treatment means in two-stage trials. Biometrical Journal 50(4) 515–527. https://doi.org/10.1002/sim.5757. MR3073825
Bowden, J. and Glimm, E. (2014). Conditionally unbiased and near unbiased estimation of the selected treatment mean for multistage drop-the-losers trials. Biometrical Journal 56(2) 332–349. https://doi.org/10.1002/sim.4430. MR2880482
Brannath, W., Zuber, E., Branson, M., Bretz, F., Gallo, P., Posch, M. and Racine-Poon, A. (2009). Confirmatory adaptive designs with Bayesian decision tools for a targeted therapy in oncology. Statistics in Medicine 28(10) 1445–1463. https://doi.org/10.1198/016214502388618852. MR1951257
Brannath, W., Koenig, F. and Bauer, P. (2007). Multiplicity and flexibility in clinical trials. Pharmaceutical Statistics: The Journal of Applied Statistics in the Pharmaceutical Industry 6(3) 205–216. https://doi.org/10.1093/biomet/ass002. MR2931269
Bretz, F., Schmidli, H., König, F., Racine, A. and Maurer, W. (2006). Confirmatory seamless phase II/III clinical trials with hypotheses selection at interim: General concepts. Biometrical Journal 48(4) 623–634. https://doi.org/10.1093/biomet/63.3.655. MR0468056
Bretz, F., Koenig, F., Brannath, W., Glimm, E. and Posch, M. (2009). Adaptive designs for confirmatory clinical trials. Statistics in Medicine 28(8) 1181–1217. https://doi.org/10.1002/sim.2389. MR2221962
Chow, S. C. and Chang, M. (2012) Adaptive Design Methods in Clinical Trials, Second Edition. Chapman and Hall/CRC. https://doi.org/10.1002/sim.6974. MR3545616
Chow, S. C., Lu, Q. and Tse, S. K. (2007). Statistical analysis for two-stage seamless design with different study endpoints. Journal of Biopharmaceutical Statistics 17(6) 1163–1176. https://doi.org/10.1111/j.0006-341X.2001.00909.x. MR1863454
Dunnett, C. W. (1955). A multiple comparison procedure for comparing several treatments with a control. Journal of the American Statistical Association 50(272) 1096–1121. https://doi.org/10.1002/bimj.200410119. MR2145117
Gao, L., Zhu, H. and Zhang, L. (2020). Sequential monitoring of response-adaptive randomized clinical trials with sample size re-estimation. Journal of Statistical Planning and Inference 205 129–137. https://doi.org/10.1093/biomet/77.3.507. MR1087840
Hampson, L. V. and Jennison, C. (2015). Optimizing the data combination rule for seamless phase II/III clinical trials. Statistics in Medicine 34(1) 39–58. https://doi.org/10.1002/bimj.200510231. MR2247049
Hu, F. and Rosenberger, W. F. (2003). Optimality, variability, power: evaluating response-adaptive randomization procedures for treatment comparisons. Journal of the American Statistical Association 98(463) 671–678. https://doi.org/10.1093/biomet/73.3.751. MR0897872
Hu, F. and Zhang, L.-X. (2004). Asymptotic properties of doubly adaptive biased coin designs for multitreatment clinical trials. The Annals of Statistics 32(1) 268–301. https://doi.org/10.1002/sim.3863. MR2756565
Hu, F., Zhang, L.-X. and He, X. (2009). Efficient randomized-adaptive designs. The Annals of Statistics 2543–2560. https://doi.org/10.1002/sim.3436. MR2522318
Huang, X., Ning, J., Li, Y., Estey, E., Issa, J. P. and Berry, D. A. (2009). Using short-term response information to facilitate adaptive randomization for survival clinical trials. Statistics in Medicine 28(12) 1680–1689. https://doi.org/10.1016/j.jspi.2004.05.006. MR2200477
Inoue, L. Y., Thall, P. F. and Berry, D. A. (2002). Seamlessly expanding a randomized phase II trial to phase III. Biometrics 58(4) 823–831. https://doi.org/10.1016/j.jspi.2007.05.045. MR2427293
Koopmeiners, J. S., Feng, Z. and Pepe, M. S. (2012). Conditional estimation after a two-stage diagnostic biomarker study that allows early termination for futility. Statistics in Medicine 31(5) 420–435. https://doi.org/10.2307/2531495. MR1010517
Liu, Q., Proschan, M. A. and Pledger, G. W. (2002). A unified theory of two-stage adaptive designs. Journal of the American Statistical Association 97(460) 1034–1041. https://doi.org/10.1080/03610929908832376. MR1707106
Magirr, D., Jaki, T. and Whitehead, J. (2012). A generalized Dunnett test for multi-arm multi-stage clinical studies with treatment selection. Biometrika 99(2) 494–501. https://doi.org/10.1198/016214506000000906. MR2345540
Prowell, T. M., Theoret, M. R. and Pazdur, R. (2016). Seamless oncology-drug development. New England Journal of Medicine 374(21) 2001–2003. https://doi.org/10.1016/j.jspi.2016.09.002. MR3574510
Robertson, D. S., Prevost, A. T. and Bowden, J. (2016). Unbiased estimation in seamless phase II/III trials with unequal treatment effect variances and hypothesis-driven selection rules. Statistics in Medicine 35(22) 3907–3922. https://doi.org/10.1177/0962280214550759. MR3592738
Rout, C., Rocke, D., Levin, J., Gouws, E. and Reddy, D. (1993). A reevaluation of the role of crystalloid preload in the prevention of hypotension associated with spinal anesthesia for elective cesarean section. Anesthesiology 79(2) 262–269. https://doi.org/10.1002/cjs.11609. MR4349636
Sampson, A. R. and Sill, M. W. (2005). Drop-the-losers design: Normal case. Biometrical Journal 47(3) 257–268. https://doi.org/10.1002/sim.4218. MR2828933
Shen, L. (2001). An improved method of evaluating drug effect in a multiple dose clinical trial. Statistics in Medicine 20(13) 1913–1929. https://doi.org/10.1214/105051605000000746. MR2209345
Simes, R. J. (1986). An improved Bonferroni procedure for multiple tests of significance. Biometrika 73(3) 751–754. https://doi.org/10.1016/j.jspi.2008.11.003. MR2508003
Stallard, N. (2010). A confirmatory seamless phase II/III clinical trial design incorporating short-term endpoint information. Statistics in Medicine 29(9) 959–971. https://doi.org/10.1214/10-AOS796. MR2676888
Stallard, N. and Friede, T. (2008). A group-sequential design for clinical trials with treatment selection. Statistics in Medicine 27(29) 6209–6227. https://doi.org/10.1002/cjs.11140. MR2968398
Stallard, N. and Todd, S. (2003). Sequential designs for phase III clinical trials incorporating treatment selection. Statistics in Medicine 22(5) 689–703. https://doi.org/10.1080/10543400701645322. MR2414569
Zeymer, U., Suryapranata, H., Monassier, J. P., Opolski, G., Davies, J., Rasmanis, G., Linssen, G., Tebbe, U., Schroder, R., Tiemann, R., Machnig, T., and Neuhaus, K. L. (2001). The Na+/H+ exchange inhibitor Eniporide as an adjunct to early reperfusion therapy for acute myocardial infarction. Results of the evaluation of the safety and cardioprotective effects of Eniporide in acute myocardial infarction (ESCAM1) trial. J Am Coll Cardiol 38 1644–1650.