Adaptive biased-coin designs for clinical trials with several treatments

Anthony C. Atkinson

Discussiones Mathematicae Probability and Statistics (2004)

  • Volume: 24, Issue: 1, page 85-108
  • ISSN: 1509-9423

Abstract

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Adaptive designs are used in phase III clinical trials for skewing the allocation pattern towards the better treatments. We use optimum design theory to provide a skewed biased-coin procedure for sequential designs with continuous responses. The skewed designs are used to provide adaptive designs, the performance of which is studied numerically for designs with three treatments. Important properties are loss and the proportion of allocation to inferior treatments. Regularisation to provide consistent parameter estimates greatly improves both these properties.

How to cite

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Anthony C. Atkinson. "Adaptive biased-coin designs for clinical trials with several treatments." Discussiones Mathematicae Probability and Statistics 24.1 (2004): 85-108. <http://eudml.org/doc/287699>.

@article{AnthonyC2004,
abstract = {Adaptive designs are used in phase III clinical trials for skewing the allocation pattern towards the better treatments. We use optimum design theory to provide a skewed biased-coin procedure for sequential designs with continuous responses. The skewed designs are used to provide adaptive designs, the performance of which is studied numerically for designs with three treatments. Important properties are loss and the proportion of allocation to inferior treatments. Regularisation to provide consistent parameter estimates greatly improves both these properties.},
author = {Anthony C. Atkinson},
journal = {Discussiones Mathematicae Probability and Statistics},
keywords = {c-optimal design; limiting allocation proportion; minimization; randomization; regularisation; -optimal design; skewed allocations},
language = {eng},
number = {1},
pages = {85-108},
title = {Adaptive biased-coin designs for clinical trials with several treatments},
url = {http://eudml.org/doc/287699},
volume = {24},
year = {2004},
}

TY - JOUR
AU - Anthony C. Atkinson
TI - Adaptive biased-coin designs for clinical trials with several treatments
JO - Discussiones Mathematicae Probability and Statistics
PY - 2004
VL - 24
IS - 1
SP - 85
EP - 108
AB - Adaptive designs are used in phase III clinical trials for skewing the allocation pattern towards the better treatments. We use optimum design theory to provide a skewed biased-coin procedure for sequential designs with continuous responses. The skewed designs are used to provide adaptive designs, the performance of which is studied numerically for designs with three treatments. Important properties are loss and the proportion of allocation to inferior treatments. Regularisation to provide consistent parameter estimates greatly improves both these properties.
LA - eng
KW - c-optimal design; limiting allocation proportion; minimization; randomization; regularisation; -optimal design; skewed allocations
UR - http://eudml.org/doc/287699
ER -

References

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  1. [1] A.B. Antognini and A. Giovagnoli, On the large sample optimality of sequential designs for comparing two treatments, Journal of the Royal Statistical Society, Series A 167 (2004) (in press). Zbl1074.62048
  2. [2] A.C. Atkinson, Optimum biased coin designs for sequential clinical trials with prognostic factors, Biometrika 69 (1982), 61-67. Zbl0483.62067
  3. [3] A.C. Atkinson, Optimum biased-coin designs for sequential treatment allocation with covariate information, Statistics in Medicine 18 (1999), 1741-1752. 
  4. [4] A.C. Atkinson, The comparison of designs for sequential clinical trials with covariate information, Journal of the Royal Statistical Society, Series A 165, (2002), 349-373. Zbl1001.62522
  5. [5] A.C. Atkinson, The distribution of loss in two-treatment biased-coin designs, Biostatistics 4 (2003), 179-193. Zbl1139.62330
  6. [6] A.C. Atkinson and A. Biswas, Bayesian adaptive biased-coin designs for clinical trials with normal responses, (2004) (Submitted). Zbl1077.62064
  7. [7] A.C. Atkinson and A. Biswas, Optimum design theory and adaptive-biased coin designs for skewing the allocation proportion in clinical trials, (2004) (Submitted). 
  8. [8] F.G. Ball, A.F.M. Smith and I. Verdinelli, Biased coin designs with a Bayesian bias, Journal of Statistical Planning and Inference 34 (1993), 403-421. 
  9. [9] U. Bandyopadhyay and A. Biswas, Adaptive designs for normal responses with prognostic factors, Biometrika 88 (2001), 409-419. Zbl0984.62054
  10. [10] C.-F. Burman, On Sequential Treatment Allocations in Clinical Trials, Göteborg: Department of Mathematics (1996). 
  11. [11] D.R. Cox, A note on design when response has an exponential family distribution, Biometrika 75 (1988), 161-164. Zbl0635.62083
  12. [12] B. Efron, Forcing a sequential experiment to be balanced, Biometrika 58 (1971), 403-417. Zbl0226.62086
  13. [13] J.N. Matthews, An Introduction to Randomized Controlled Clinical Tials, London: Edward Arnold (2000). Zbl0959.62101
  14. [14] W.F. Rosenberger and J.L. Lachin, Randomization in Clinical Trials: Theory and Practice, New York: Wiley (2002). Zbl1007.62091
  15. [15] W.F. Rosenberger, N. Stallard, A. Ivanova, C.N. Harper and M.L. Ricks, Optimal adaptive designs for binary response trials, Biometrics 57 (2002), 909-913. Zbl1209.62181

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