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Optimum biased coin designs for sequential clinical trials with prognostic factors
Biometrika, 1982Patients in a clinical trial arrive sequentially and are assigned to one of t treatments. This assignment should maintain a balance between the numbers receiving each treatment, yet should be sufficiently random to avoid any suspicion of conscious or unconscious cheating. To balance these requirements Efron (1971) introduced biased coin designs for the
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The adaptive accelerated biased coin design for phase I clinical trials
Journal of Applied Statistics, 2011Phase I clinical trials are designed to study several doses of the same drug in a small group of patients to determine the maximum tolerated dose (MTD), which is defined as the dose that is associated with dose-limiting toxicity (DLT) in a desired fraction Γ of patients.
Nan Jia, Thomas M. Braun
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Asymptotic Properties of Biased Coin Designs for Treatment Allocation
2004Biased coin designs (BCD) are a special type of randomized sequential experiments. A common feature of several BCD’s is their Markov property, which allows a direct study of the design asymptotics. Possible criteria for comparing different biased coin designs are discussed with reference to particular cases.
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Optimum biased-coin designs for sequential treatment allocation with covariate information
Statistics in Medicine, 1999Randomized optimum designs of biased-coin type are compared with other strategies for the sequential allocation of two or more treatments in a clinical trial. The emphasis is on the variance of estimated treatment contrasts. This variance, which depends on the design strategy employed, may be interpreted as the number of patients on whom information is
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Statistics in Medicine, 2005
Response adaptive designs are used in phase III clinical trial for skewing the allocation pattern towards the better treatments. We use optimum design theory to derive adaptive designs when the responses are normally distributed. The performance of the designs is studied with respect to the loss and the proportion of allocation to different treatments.
A C, Atkinson, A, Biswas
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Response adaptive designs are used in phase III clinical trial for skewing the allocation pattern towards the better treatments. We use optimum design theory to derive adaptive designs when the responses are normally distributed. The performance of the designs is studied with respect to the loss and the proportion of allocation to different treatments.
A C, Atkinson, A, Biswas
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An adaptive biased coin design for the behrens-fisher problem
Sequential Analysis, 1990Wei(1978) introduced the adaptive biased coin design to reduce experimenter bias and offer a compromise between perfect balance and complete randomization. In situations such as the Behrens-Fisher problem, balance is not necessarily desired and the optimal ratio of sample sizes is unknown.
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Sequential analysis of Durham and Flournoy's biased coin design for phase I clinical trials
2023In a phase I clinical trial, we are interested in finding a dose mu that will produce toxicity at an acceptable probability level Gamma in the target population. We investigate various estimators of the target dose mu to be used with the up-and-down Biased Coin Design (BCD) introduced by Durham and Flournoy (1994).
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Reparametrized Firth's Logistic Regressions for Dose‐Finding Study With the Biased‐Coin Design
Pharmaceutical StatisticsABSTRACTFinding an adequate dose of the drug by revealing the dose–response relationship is very crucial and a challenging problem in the clinical development. The main concerns in dose‐finding study are to identify a minimum effective dose (MED) in anesthesia studies and maximum tolerated dose (MTD) in oncology clinical trials.
Hyungwoo Kim +3 more
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Doubly adaptive biased coin design to improve Bayesian clinical trials with time‐to‐event endpoints
Statistics in MedicineClinical trialists often face the challenge of balancing scientific questions with other design features, such as improving efficiency, minimizing exposure to inferior treatments, and simultaneously comparing multiple treatments. While Bayesian response adaptive randomization (RAR) is a popular and effective method for achieving these objectives, it is
Wenhao Cao +4 more
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