• The Korean Journal of Applied Statistics
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• v.32 no.5
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• pp.741-752
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• 2019

The purpose of a Phase I Clinical Trial is to determine the maximum tolerated dose (MTD). MTD is important because it affects subsequent clinical trials; however, the existing method has a problem due to an inadequate dose allocated to patients. In this paper, an MTD estimation method is proposed to complement the problems of the existing MTD estimation method. The suggested method applies the initial acceleration step to the modified continual reassessment method. Monte Carlo Simulation Study is adapted to compare a suggested MTD estimation method with the standard design and the modified continual reassessment method.

• The Korean Journal of Applied Statistics
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• v.15 no.2
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• pp.323-336
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• 2002

In this paper we consider the modified continual reassessment method in which a cohort consists of three patients. Simulation has been a main research tool in the investigation of CRM. In this paper we propose complete enumeration as an alternative of simulation. Using new method we show that the expected toxicity rate at the MTD converges to the target toxicity rate well as the sample size increases.

• Journal of the Korean Statistical Society
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• v.32 no.1
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• pp.33-46
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• 2003

The continual reassessment method (CRM) provides a Bayesian estimation of the maximum tolerated dose (MTD) in phase I clinical trials. The CRM has been proposed as an alternative design of the standard design. The CRM has been modified to improve practical feasibility and, recently, the likelihood approach CRM has been proposed. In this paper we investigate the consistency and asymptotic normality of the modified likelihood approach CRM in which the maximum likelihood estimate is used instead of the posterior mean. Small-sample properties of the consistency is examined using complete enumeration. Both the asymptotic results and their small-sample properties show that the modified CRML outperforms the standard design.