Abstract
Classification is the most important issues that have gained much attention in various fields such as health and medicine. Especially in survival models, classification represents a main objective and it is also one of the main purposes in data mining. Among data mining methods used for classification, implementation of the decision tree due to its simplicity and understandable and accurate results, has gained much attention and popularity. In this paper, first we generate the observations by using Monte-Carlo simulation from hazard model with the three degrees of complexity in different levels of censorship 0 to 70%. Then the accuracy of classification in the Cox and the decision tree models is compared for the number of samples 1000, 5000 and 10,000 by area under the ROC curve(AUC) and the ROC-test.
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References
Hothron T, Hornik K, Zeileis A, ctree: Conditional Inference Trees. https://cran.r-project.org/web/packages
Rokach L, Maimon O (2007) Data mining with decision trees, series in machine perception and artificial intelligence, vol. 69. World Scientific Publishing Co. Pte. Ltd, Singapore
Kotsiantis SB (2013) Decision trees: a recent overview. Artif Intell Rev 39(4):261–283
Batagelj V, Bock H-H, Ferligoj A, Ziberna A (2006) Data science and classification, ISBN-10 3–540-34415-2. Springer, Berlin
Almuallim H, Kaneda S, Akiba Y (2001) Development and applications of decision trees. In: Proceedings in the expert systems-the technology of knowledge management and decision making for the 21st century six-volume set, pp 53–77
Lee ET, Wang JW (2003) Statistical methods for survival data analysis, Wiley series in probability and statistics, 3rd edn. Wiley-Interscience, Hoboken
Kleinbaum DG, Klein M (2012) Survival analysis a self learning text, 3rd edn. Springer, New York
Bender R, Augustin T, Blettner M (2005) Generating survival times to simulate cox proportional hazards models, Statistics Med 24:1713–1723
Fox J, Weisberg S (2011) An R companion to applied regression, 2nd edn. Sage Publications
Robin X, Turk N, Hainard A, Tiberti N, Lisacek F, Sanchez J, Muller M (2011) pROC: an open-source package for R to analyze and compare ROC curves. BMC Bioinform 12:77
Fawcett T (2006) An introduction to ROC analysis. Pattern Recognit Lett 27:861–874
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The authors feel much obligated for the time spent to review this paper by highly informed the referees.
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Mokarram, R., Emadi, M. Classification in Non-linear Survival Models Using Cox Regression and Decision Tree. Ann. Data. Sci. 4, 329–340 (2017). https://doi.org/10.1007/s40745-017-0105-4
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DOI: https://doi.org/10.1007/s40745-017-0105-4