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.
Titolo: | Extensions of Ehrenfest's urn designs for comparing two treatments |
Autore/i: | BALDI ANTOGNINI, ALESSANDRO |
Autore/i Unibo: | |
Anno: | 2004 |
Titolo del libro: | mODa 7 - Advances in Model-Oriented Design and Analysis |
Pagina iniziale: | 21 |
Pagina finale: | 28 |
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. |
Data prodotto definitivo in UGOV: | 6-ott-2005 |
Appare nelle tipologie: | 2.01 Capitolo / saggio in libro |
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