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2018 | 19 | nr 2 | 297--314
Tytuł artykułu

A New Method for Covariate Selection in Cox Model

Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In a wide spectrum of natural and social sciences, very often one encounters a large number of predictors for time to event data. An important task is to select right ones, and thereafter carry out the analysis. The l1 penalized regression, known as "least absolute shrinkage and selection operator" (LASSO) became a popular approach for predictor selection in last two decades. The LASSO regression involves a penalizing parameter (commonly denoted by l) which controls the extent of penalty and hence plays a crucial role in identifying the right covariates. In this paper we propose an information theory-based method to determine the value of l in association with the Cox proportional hazards model. Furthermore, an efficient algorithm is discussed in the same context. We demonstrate the usefulness of our method through an extensive simulation study. We compare the performance of our proposal with existing methods. Finally, the proposed method and the algorithm are illustrated using a real data set. (original abstract)
Rocznik
Tom
19
Numer
Strony
297--314
Opis fizyczny
Twórcy
autor
  • Operations Management, Quantitative Methods and Information Systems Area, Indian Institute of Management, Udaipur, Rajasthan 313001, India
  • Division of Statistics, Northern Illinois University, Dekalb, USA
Bibliografia
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  • BARRON, A. R., LUO, X., (2008). MDL Procedures with `1 Penalty and their Statistical Risk, Proceedings Workshop on Information Theoretic Methods in Science and Engineering.
  • BENDER, R., AUGUSTIN, T., BLETTNER, M., (2005). Generating survival times to simulate Cox proportional hazards models, Statistics in Medicine, 24 (11), pp. 1713-1723.
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  • LI, J. Q., BARRON, A. R., (2000). Mixture density estimation, S Solla, T Leen and K.R. Muller (Eds.), Advances in Neural Processing Information System, 12, pp. 279-285.
  • LOPRINZI, C. L., LAURIE, J. A., WIEAND, H. S., KROOK, J. E., NOVOTNY, P. J., KUGLER, J. W., BARTEL, J., LAW, M., BATEMAN, M., KLATT, N. E. et al., (1994). Prospective evaluation of prognostic variables from patient-completed questionnaires. North Central Cancer Treatment Group. Journal of Clinical Oncology, 12 (3), pp. 601-607.
  • LUO, X., (2009). Penalized Likelihoods: Fast algorithms and risk bounds, Ph.D. Thesis, Statistics Department, Yale University.
  • ROSSI, P. H., BERK, R. A., LENIHAN., K. J., (1980). Money, Work and Crime: Some Experimental Results. New York: Academic Press.
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  • SIMON, N., FRIEDMAN, J., HASTIE, T., TIBSHIRANI, R., (2011). Regularization paths for Cox's proportional hazards model via coordinate descent, Journal of Statistical Software, 39 (5), pp. 1-13.
  • Tibshirani, R., (1996). Regression shrinkage and selection via the lasso, Journal of the Royal Statistical Society, Series B, 58, pp. 267-288.
  • Tibshirani, R., (1997). The lasso method for variable selection in the Cox model, Statistics in Medicine, 16, pp. 385-395.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171560943

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