On an asymptotic optimality property of play-the-winner and vector-at-a-time sampling.

Título inglés	On an asymptotic optimality property of play-the-winner and vector-at-a-time sampling.
Título español	Propiedad de optimización asintótica de métodos de muestreo para ensayos clínicos.
Autor/es	Nebenzahl, Elliott
Organización	Dep. Stat. California State Univ. Hayward, Hayward (California), Estados Unidos
Revista	0041-0241
Publicación	1984, 35 (1): 92-103, 11 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	Simon and Weiss (1975) consider the formulation of the clinical trial as a selection procedure (Bechhofer, Kiefer and Sobel, 1968). The object of the trial is to choose the better treatment with probability ≥ P*, where P* is assigned, when the difference in success probabilities is ≥ Δ*, Δ* also being assigned. They consider a family of single step allocation methods for the reduction of the number of patients given the poorer treatment. Using numerical results, Simon and Weiss conclude that if the stopping rule is based on the difference in successes then either alternating allocation or play-the-winner allocation appears to be optimal (Robbins, 1956; Sobel, Weiss, 1970). We make precise the above statement and then in our main theorem prove it to be true for all Δ* sufficiently small and P* → 1.
Clasificación UNESCO	120910
Palabras clave español	Ensayo clínico ; Métodos de ensayo ; Estadística médica ; Probabilidades ; Optimización ; Prueba secuencial truncada
Código MathReviews	MR0829914
Código Z-Math	Zbl 0732.62082
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