Summary
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 π*. A further extension is suggested, the Ehrenfest — Brillouin design, that converges to the target faster.
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© 2004 Springer-Verlag Berlin Heidelberg
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Antognini, A.B. (2004). Extensions of the Ehrenfest Urn Designs for Comparing Two Treatments. In: Di Bucchianico, A., Läuter, H., Wynn, H.P. (eds) mODa 7 — Advances in Model-Oriented Design and Analysis. Contributions to Statistics. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-2693-7_3
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DOI: https://doi.org/10.1007/978-3-7908-2693-7_3
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-0213-9
Online ISBN: 978-3-7908-2693-7
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