A randomized two stage allocation for continuous response clinical trials. (English) Zbl 1416.62595
Summary: A randomized two treatment allocation design, conducted in two stages, is proposed for a class of continuous response trials. Patients are assigned to each treatment in equal numbers in the first stage and \(p\) value of a test of equality of treatment effects based on these data is used to determine the assignment probability of second stage patients. Relevant properties of the proposed allocation design are investigated and compared with suitable competitors.
MSC:
| 62P10 | Applications of statistics to biology and medical sciences; meta analysis |
| 62L05 | Sequential statistical design |
References:
| [1] | Antognini AB, Giovagnoli A (2005) On the large sample optimality of sequential designs for comparing two or more treatments. Seq Anal 24:205-217 · Zbl 1074.62048 · doi:10.1081/SQA-200056200 |
| [2] | Bandyopadhyay U, Bhattacharya R (2006) An optimal sequential procedure in ethical allocation. J Stat Plan Inference 136:430-446 · Zbl 1077.62068 · doi:10.1016/j.jspi.2004.07.006 |
| [3] | Bandyopadhyay U, Bhattacharya R (2007) On an ethical cum optimal adaptive allocation design. Statistics 41:471-483 · Zbl 1128.62088 · doi:10.1080/02331880701529589 |
| [4] | Bandyopadhyay U, Biswas A (2001) Adaptive designs for normal responses with prognostic factors. Biometrika 88:409-419 · Zbl 0984.62054 · doi:10.1093/biomet/88.2.409 |
| [5] | Biswas A, Bhattacharya R (2009) Optimal response-adaptive designs for normal responses. Biom J 51:193-202 · Zbl 1442.62269 · doi:10.1002/bimj.200810500 |
| [6] | Biswas A, Mandal S (2004) Optimal adaptive designs in phase III clinical trials for continuous responses with covariates. In: Bucchianico ADi, Lauter H, Wynn HP (eds) mODa 7: advances in model-oriented design and analysis. Physica-Verlag, Heidelberg, pp 51-58 · Zbl 0984.62054 |
| [7] | Billingsley P (1995) Probability and measure, 3rd edn. Wiley, New York · Zbl 0822.60002 |
| [8] | Coad DS (1992) Some results on estimation for two stage clinical trials. Seq Anal 11:299-311 · Zbl 0783.62090 · doi:10.1080/07474949208836262 |
| [9] | Colton T (1963) A model for selecting one of two medical treatments. J Am Stat Assoc 58:388-400 · doi:10.1080/01621459.1963.10500853 |
| [10] | Hu F, Rosenberger WF (2006) The theory of response-adaptive randomization in clinical trials. Wiley Interscience, New York · Zbl 1111.62107 · doi:10.1002/047005588X |
| [11] | Lehmann EL, Romano JP (2005) Testing statistical hypotheses, 3rd edn. Springer, New York · Zbl 1076.62018 |
| [12] | Rosenberger WF (1993) Asymptotic inference with response-adaptive treatment allocation designs. Ann Stat 21:2098-2107 · Zbl 0799.62108 · doi:10.1214/aos/1176349412 |
| [13] | Rosenberger WF, Lachin JL (2002) Randomisation in clinical trials: theory and practice. Wiley, New York · Zbl 1007.62091 · doi:10.1002/0471722103 |
| [14] | Zhang L, Rosenberger WF (2006) Response-adaptive randomization for clinical trials with continuous outcomes. Biometrics 62:562-569 · Zbl 1097.62139 · doi:10.1111/j.1541-0420.2005.00496.x |
| [15] | Zhang, LX; Rosenberger, WF; Pong, A. (ed.); Shein-Chung, C. (ed.), Optimal response-adaptive randomization for clinical trials (2011), Boca Raton |
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