Asymptotic normality of urn models for clinical trials with delayed response
نویسندگان
چکیده
منابع مشابه
Asymptotic normality of urn models for clinical trials with delayed response
Response-adaptive design involves the sequential selection of design points chosen depending on the outcomes at previously selected design points. The response-adaptive design has been extensively studied in the literature; see Rosenberger (1996), Flournoy and Rosenberger (1995) and Hu and Ivanova (2004) for details. An important family of adaptive designs can be developed from the generalized ...
متن کاملAsymptotic normality of urn models for clinical trials with delayed response
For response-adaptive clinical trials using a generalized Friedman’s urn design, we derive the asymptotic normality of sample fraction assigned to each treatment under staggered entry and delayed response. The rate of convergence and the law of the iterated logarithm are obtained for both the urn composition and the sample fraction. Some applications are also discussed.
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The essential feature of controlled clinical trials is the random assignment of subjects to two or more treatment groups under investigation. The principle of randomization provides a protection against hidden biases and thus increases the validity of the trial’s findings. Another fundamental aspect of clinical trials is the incorporation into the design and/or analysis those prognostic factors...
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Urn models have been widely studied and applied in both scientific and social disciplines. In clinical studies, the adoption of urn models in treatment allocation schemes has been proved to be beneficial to both researchers, by providing more efficient clinical trials, and patients, by increasing the probability of receiving the better treatment. In this paper, we endeavor to derive a very gene...
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ژورنال
عنوان ژورنال: Bernoulli
سال: 2004
ISSN: 1350-7265
DOI: 10.3150/bj/1089206406