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A MODELLING APPROACH TO INCREASE THE EXPLAINED RISK IN THE PROPORTIONAL HAZARDS REGRESSION

Yıl 2018, Cilt: 11 Sayı: 1-2, 1 - 11, 01.01.2018

Öz

In this study, a modelling strategy is developed to obtain more information from censored obser-
vations. By the proposed approach, uncensored observations are clustered using a fuzzy c-means algorithm
and the degrees to which censored observations are members of these clusters are determined. Censored
observations are weighted based on their membership values and the distances between the censoring time
and the time components of the cluster centres. Further, simulation studies are performed to characterize
the performance of the proposed approach based on the explained risk measure.

Kaynakça

  • Bezdek, J.C. (1971). Pattern Recognition with Fuzzy Objective Function Algorithms, Plenum Press, New York.
  • Bezdek, J.C., Ehrlich R. and Full, W. (1984). FCM: The fuzzy c-means clustering algorithm. Computers and Geosciences, 10(1984), 191 203.
  • Choodari-Oskooei, B., Royston P. and Parmar, M. (2012). A simulation study of predictive ability measures in a survival model 1: explained variation measures. Statistics in Medicine, 31, 2627-2643.
  • Cox, D. (1972). Regression models and life-tables. Journal of the Royal Statistical Society B, 34, 187-220.
  • Dunn, J.C. (1973). A fuzzy relative of the ISODATA process and its use in detecting compact well-separated cluster. Journal of Cybernetics, 3, 32-57.
  • Goldberg, R.J., Gore, J.M., Alpert J.S. and Dalen, J.E. (1986). Recent changes in attack and survival rates of acute myocardial infarction (1975 through 1981): the Worcester heart attack study. Journal of the American Medical Association, 255, 2774-2779.
  • Heller, G. (2012). A measure of explained risk in the proportional hazards model. Biostatistics, 13, 315-325.
  • Hosmer Jr., D.W., Lemeshow, S. and May, S., 2008. Applied Survival Analysis: Regression Modeling of Time-to-Event Data, Wiley, Hoboken.
  • Kent, J.T. (1983). Information gain and a general measure of correlation. Biometrika, 70, 163-173.
  • Kleinbaum, D. and Klein, M. (2005). Survival Analysis: A Self-Learning Text, Springer, New York.
Yıl 2018, Cilt: 11 Sayı: 1-2, 1 - 11, 01.01.2018

Öz

Kaynakça

  • Bezdek, J.C. (1971). Pattern Recognition with Fuzzy Objective Function Algorithms, Plenum Press, New York.
  • Bezdek, J.C., Ehrlich R. and Full, W. (1984). FCM: The fuzzy c-means clustering algorithm. Computers and Geosciences, 10(1984), 191 203.
  • Choodari-Oskooei, B., Royston P. and Parmar, M. (2012). A simulation study of predictive ability measures in a survival model 1: explained variation measures. Statistics in Medicine, 31, 2627-2643.
  • Cox, D. (1972). Regression models and life-tables. Journal of the Royal Statistical Society B, 34, 187-220.
  • Dunn, J.C. (1973). A fuzzy relative of the ISODATA process and its use in detecting compact well-separated cluster. Journal of Cybernetics, 3, 32-57.
  • Goldberg, R.J., Gore, J.M., Alpert J.S. and Dalen, J.E. (1986). Recent changes in attack and survival rates of acute myocardial infarction (1975 through 1981): the Worcester heart attack study. Journal of the American Medical Association, 255, 2774-2779.
  • Heller, G. (2012). A measure of explained risk in the proportional hazards model. Biostatistics, 13, 315-325.
  • Hosmer Jr., D.W., Lemeshow, S. and May, S., 2008. Applied Survival Analysis: Regression Modeling of Time-to-Event Data, Wiley, Hoboken.
  • Kent, J.T. (1983). Information gain and a general measure of correlation. Biometrika, 70, 163-173.
  • Kleinbaum, D. and Klein, M. (2005). Survival Analysis: A Self-Learning Text, Springer, New York.
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Makaleler
Yazarlar

Deniz Inan

Oykum Esra Askin Bu kişi benim

Yayımlanma Tarihi 1 Ocak 2018
Kabul Tarihi 20 Ocak 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 11 Sayı: 1-2

Kaynak Göster

APA Inan, D., & Askin, O. E. (2018). A MODELLING APPROACH TO INCREASE THE EXPLAINED RISK IN THE PROPORTIONAL HAZARDS REGRESSION. Istatistik Journal of The Turkish Statistical Association, 11(1-2), 1-11.
AMA Inan D, Askin OE. A MODELLING APPROACH TO INCREASE THE EXPLAINED RISK IN THE PROPORTIONAL HAZARDS REGRESSION. IJTSA. Ocak 2018;11(1-2):1-11.
Chicago Inan, Deniz, ve Oykum Esra Askin. “A MODELLING APPROACH TO INCREASE THE EXPLAINED RISK IN THE PROPORTIONAL HAZARDS REGRESSION”. Istatistik Journal of The Turkish Statistical Association 11, sy. 1-2 (Ocak 2018): 1-11.
EndNote Inan D, Askin OE (01 Ocak 2018) A MODELLING APPROACH TO INCREASE THE EXPLAINED RISK IN THE PROPORTIONAL HAZARDS REGRESSION. Istatistik Journal of The Turkish Statistical Association 11 1-2 1–11.
IEEE D. Inan ve O. E. Askin, “A MODELLING APPROACH TO INCREASE THE EXPLAINED RISK IN THE PROPORTIONAL HAZARDS REGRESSION”, IJTSA, c. 11, sy. 1-2, ss. 1–11, 2018.
ISNAD Inan, Deniz - Askin, Oykum Esra. “A MODELLING APPROACH TO INCREASE THE EXPLAINED RISK IN THE PROPORTIONAL HAZARDS REGRESSION”. Istatistik Journal of The Turkish Statistical Association 11/1-2 (Ocak 2018), 1-11.
JAMA Inan D, Askin OE. A MODELLING APPROACH TO INCREASE THE EXPLAINED RISK IN THE PROPORTIONAL HAZARDS REGRESSION. IJTSA. 2018;11:1–11.
MLA Inan, Deniz ve Oykum Esra Askin. “A MODELLING APPROACH TO INCREASE THE EXPLAINED RISK IN THE PROPORTIONAL HAZARDS REGRESSION”. Istatistik Journal of The Turkish Statistical Association, c. 11, sy. 1-2, 2018, ss. 1-11.
Vancouver Inan D, Askin OE. A MODELLING APPROACH TO INCREASE THE EXPLAINED RISK IN THE PROPORTIONAL HAZARDS REGRESSION. IJTSA. 2018;11(1-2):1-11.