In this paper we discuss sequential urn designs for comparing two treatments. The Ehrenfest urn design suggested by Chen is shown to be a special case of the Adjustable Biased Coin Design proposed by Baldi Antognini and Giovagnoli. Some generalizations of Chen's design are proposed that converge to a general target proportion of allocations. A further extension is suggested, the Ehrenfest-Brillouin design, that converges to the target faster.
Extensions of Ehrenfest's urn designs for comparing two treatments
BALDI ANTOGNINI, ALESSANDRO
2004
Abstract
In this paper we discuss sequential urn designs for comparing two treatments. The Ehrenfest urn design suggested by Chen is shown to be a special case of the Adjustable Biased Coin Design proposed by Baldi Antognini and Giovagnoli. Some generalizations of Chen's design are proposed that converge to a general target proportion of allocations. A further extension is suggested, the Ehrenfest-Brillouin design, that converges to the target faster.File in questo prodotto:
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