Empirical receiver operating characteristic curve for two-sample comparison with cure fractions |
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Authors: | Xiaobing Zhao Xian Zhou |
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Institution: | (1) CDER/OB/DBV, Food and Drug Administration (FDA), 10903 New Hampshire Avenue, Building 21, Rm 3629, Silver Spring, MD 20993-0002, USA;(2) BGCRG, DCP, National Cancer Institute, Bethesda, MD, USA;(3) SRAB, DCCPS, National Cancer Institute, Bethesda, MD, USA;(4) Department of Health Studies, University of Chicago, 5841 South Maryland Ave., MC 2007, Chicago, IL 60637, USA |
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Abstract: | Two-sample comparison of survival times with “cured patients” is of major interest and a challenging issue in many areas,
particularly in cancer clinical research. Recently, several authors have proposed various procedures of comparison, including
tests of no overall, no short-term and no long-term differences between two samples. In clinical practice, it is often of
interest to detect the difference in treatment effects among noncured patients regardless of the difference between cure fractions.
In this paper, we propose a statistical test to compare two samples with cured patients and possibly heterogeneous treatment
effects based on a class of semi-parametric transformation models, and our main focus is on the survival times of noncured
patients. The empirical and quantile processes are used to construct strong approximations for the empirical curves. The two-sample
test is then constructed from general least squares estimators derived from these processes. Simulation results show that
the proposed test perform well. As an example of application, a set of bladder cancer data is analyzed to illustrate the proposed
methods. |
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