The Comparison of Designs for Sequential Clinical Trials with Covariate Information
- 1 June 2002
- journal article
- Published by Oxford University Press (OUP) in Journal of the Royal Statistical Society Series A: Statistics in Society
- Vol. 165 (2), 349-373
- https://doi.org/10.1111/1467-985x.00564
Abstract
Summary. The paper develops methods for the comparison of randomized rules of the biased coin type for the sequential allocation of treatments in a clinical trial. One important characteristic is the loss, which measures the increase in the variance of parameter estimates due to the imbalance caused by randomization. The other important characteristic is the selection biasmeasuring the probability of correctly guessing which treatment is to be allocated next. The combination of these two measures leads to the elucidation of admissible designs. Simulations provide clear plots of the behaviour of the designs and make it possible to distinguish good designs from those which are less good.Keywords
This publication has 22 references indexed in Scilit:
- One hundred years of the design of experiments on and off the pages of BiometrikaBiometrika, 2001
- New directions in adaptive designsStatistical Science, 1996
- Properties of Biased Coin Designs in Sequential Clinical TrialsThe Annals of Statistics, 1984
- Optimum biased coin designs for sequential clinical trials with prognostic factorsBiometrika, 1982
- Efron's conjecture on vulnerability to bias in a method for balancing sequential trialsBiometrika, 1980
- Forcing a sequential experiment to be balancedBiometrika, 1971
- The Sequential Generation of $D$-Optimum Experimental DesignsThe Annals of Mathematical Statistics, 1970
- Design for the Control of Selection BiasThe Annals of Mathematical Statistics, 1957
- SOME SYSTEMATIC EXPERIMENTAL DESIGNSBiometrika, 1951
- The Lanarkshire Milk ExperimentBiometrika, 1931