• ISSN: 2148-2225 (online)

Ulaştırma ve Lojistik Kongreleri

alphanumeric journal

The Journal of Operations Research, Statistics, Econometrics and Management Information Systems

Tied Survival Times In Survival Analysis

Duru Karasoy, Ph.D.

Sena Keskin Kaplan


Abstract

Survival analysis is generally defined as a set of methods for analyzing data where the outcome variable is the time until the occurrence of an event of interest. One of the methods commonly used in the survival analysis is Cox regresion model which is used to determine the factors that impact on survival times. Cox regression model has assumptions. One of them is proportional hazards assumption and the another one is there is no tied data between event times. However, in real applications, tied event times are commonly observed and Cox’s partial likelihood function needs to be modified to handle ties. It is well known methods that the Exact method, Breslow method, Efron method and Discrete method for handling tied event times. Firstly, the methods are analysed during the study, Breslow, Efron and Exact methods, which is applied on a stomach canser data set (there is tied data between event times) It was decided that Cox regression with Exact Method is the best model. Than this methods is applied Acute Myocardial Infarction data set which has no tied data between event times and it is found the same resuts at all methods.

Keywords: Cox Regression, Survival Analysis, Tied Survival Times

Jel Classification: C24, C80

Yaşam Çözümlemesinde Eş Zamanlı Yaşam Süreleri

Öz

Yaşam çözümlemesi, tanımlanan herhangi bir olayın belirli bir başlangıç noktasından, ortaya çıkmasına kadar geçen sürenin incelenmesinde kullanılan istatistiksel yöntemler topluluğudur. Yaşam çözümlemesinde sıkça kullanılan yöntemlerden biri yaşam süresi üzerinde etkili olan faktörlerin belirlenmesinde kullanılan Cox regresyon modelidir Cox regresyon modelinin orantılı tehlikeler varsayımına ek olarak bir diğer varsayımı ise eş zaman durumunun meydana gelmemiş olmasıdır. Ancak çalışmalarda genellikle eş zamanlı olarak meydana gelen başarısızlıklara rastlanmaktadır ve bu durum özel çözüm gerektirmektedir. Kesin yöntem, Breslow yöntemi, Efron yöntemi ve Kesikli yöntem olarak bilinen yöntemler bu özel çözümlemelerdir. Çalışma boyunca incelenen yöntemlerden Breslow yöntemi, Efron yöntemi ve Kesin yöntem, eş zamanlı gözlemlerin olduğu duruma örnek olarak mide kanseri verilerine uygulanmış Kesin yöntem ile Cox regresyon modelinin en iyi model olduğuna karar verilmiştir. Daha sonra ise eş zamanlı gözlemlerin olmadığı Akut Miyokard İnfarktüsü verilerine uygulanmış ve sonuçların aynı olduğu gözlenmiştir.

Anahtar Kelimeler: Cox Regresyon, Eş Zamanlı Yaşam Süreleri, Yaşam Çözümlemesi

Suggested citation

Karasoy, D. & Keskin Kaplan, S. (). Yaşam Çözümlemesinde Eş Zamanlı Yaşam Süreleri. Alphanumeric Journal, 5(1), 85-102. http://dx.doi.org/10.17093/alphanumeric.323833

bibtex

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Volume 5, Issue 1, 2017

2017.05.01.STAT.02

alphanumeric journal

Volume 5, Issue 1, 2017

Pages 85-102

Received: Sept. 7, 2016

Accepted: March 9, 2017

Published: June 30, 2017

Full Text [747.3 KB]

2017 Karasoy, D., Keskin Kaplan, S.

This is an Open Access article, licensed under Creative Commons Attribution-NonCommercial 4.0 International License.

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