Robust Prediction of t‐Year Survival with Data from Multiple Studies |
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Authors: | Tianxi Cai Thomas A Gerds Yingye Zheng Jinbo Chen |
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Affiliation: | 1. Department of Biostatistics, Harvard University, 655 Huntington Avenue, Boston, Massachusetts 02115, U.S.A.;2. Department of Biostatistics, University of Copenhagen, Copenhagen, Denmark;3. Public Health Sciences Division, Fred Hutchinson Cancer Research Center, 1100 Fairview Avenue North, Seattle, Washington 98109, U.S.A.;4. Department of Biostatistics and Epidemiology, University of Pennsylvania, Philadelphia, Pennsylvania 19104, U.S.A. |
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Abstract: | Summary Recently meta‐analysis has been widely utilized to combine information across multiple studies to evaluate a common effect. Integrating data from similar studies is particularly useful in genomic studies where the individual study sample sizes are not large relative to the number of parameters of interest. In this article, we are interested in developing robust prognostic rules for the prediction of t ‐year survival based on multiple studies. We propose to construct a composite score for prediction by fitting a stratified semiparametric transformation model that allows the studies to have related but not identical outcomes. To evaluate the accuracy of the resulting score, we provide point and interval estimators for the commonly used accuracy measures including the time‐specific receiver operating characteristic curves, and positive and negative predictive values. We apply the proposed procedures to develop prognostic rules for the 5‐year survival of breast cancer patients based on five breast cancer genomic studies. |
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Keywords: | Biomarker Classification Conditional Kaplan– Meier Meta‐analysis Nonparametric maximum likelihood Predictive values Prognosis ROC Survival analysis |
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