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Nonparametric Estimation of Maximum Tolerated Dose (MTD) In The Context of Phase I Clinical Trials

ABSTRACT: With the advent of technology, as there seems to be no reason not to implement a trial with a continuous domain of doses and varying step sizes, we provide a non-parametric methodology for such trials that aims to estimate Maximum Tolerated Dose (MTD) in the phase I clinical trials. We further provide extensive simulations for logistic and probit models with various parameter values to obtain a pseudo sample size for better design of the trials. We also illustrate a bootstrap method to obtain an estimate of the variance and the bias of our estimator.