Biased coin designs with a Bayesian bias

Abstract We present two new procedures for biased coin design, derived within the Bayesian approach. One of the procedures is obtained using a formal Bayesian motivation; the other relies on ad hoc justifications. The development concentrates mainly on the case of allocation without a covariate, but includes some analysis for the case of a single, categorical covariate. Asymptotic properties of the sequential allocation schemes proposed are considered.

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