• ISSN: 2148-2225 (online)

Ulaştırma ve Lojistik Kongreleri

alphanumeric journal

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

Outliers in Survival Analysis


Durdu Karasoy, Ph.D.

Nuray Tuncer


Abstract

Survival analysis is a collection of statistical methods for analyzing data where the outcome variable is the time until the occurrence of an event of interest. Outliers in survival anaysis calculated differently from classical regression analysis. Outlier detection methods in survival analysis are commonly carried out based on residuals and residual analysis. In survival analysis, there are different types of residuals that are Cox-Snell, Martingale, Schoenfeld, Deviance, Log-odds and Normal deviance residuals. There are methods which are DFBETA, LMAX and Likelihood Displacement values for detecting influential observations. The residuals are analyzed during the study which is applied on a stomach cancer data set and the outliers are detected. After omitting these outliers, model is set up again and results were found better.

Keywords: Influential Observations, Outliers, Residuals, Survival Analysis, Survival Models

Jel Classification: C10, C14, C19, C24

Yaşam Çözümlemesinde Aykırı Değerler


Öz

Yaşam çözümlemesi, tanımlanan herhangi bir olayın ortaya çıkmasına kadar geçen sürenin incelenmesinde kullanılan istatistiksel yöntemler bütünüdür. Yaşam çözümlemesinde aykırı değerler klasik regresyonda kullanılan yöntemlerden farklı yöntemler kullanılarak hesaplanmaktadır. Yaşam çözümlemesinde aykırı değer belirleme yöntemleri artıklara ve artıkların analizine dayanmaktadır. Yaşam çözümlemesinde kullanılan başlıca artık türleri Cox-Snell, Martingale, Schoenfeld, Sapma, Log-odds ve Normal sapma artıklarıdır. Etkili gözlemleri belirlemek için kullanılan yöntemler ise DFBETA, LMAX ve Olabilirlik Değişim değerleridir. İncelenen artık türleri mide kanseri ile ilgili verilere uygulanmış ve aykırı değerler belirlenmiştir. Belirlenen aykırı değerler çıkarılarak model yeniden kurulmuş ve aykırı değerler çıkarıldığında sonuçların daha iyi olduğu görülmüştür.

Anahtar Kelimeler: Artıklar, Aykırı Değerler, Etkili Gözlemler, Yaşam Modelleri, Yaşam Çözümlemesi


Cite this article

Karasoy, D., Tuncer, N. (2015). Yaşam Çözümlemesinde Aykırı Değerler. Alphanumeric Journal, 3(2), 139-152. http://dx.doi.org/10.17093/aj.2015.3.2.5000149382

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Volume 3, Issue 2, 2015

2015.03.02.STAT.08

alphanumeric journal

Volume 3, Issue 2, 2015

Pages 139-152

Received: Nov. 2, 2015

Accepted: Dec. 27, 2015

Published: Dec. 31, 2015

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2015 Karasoy, D., Tuncer, N.

This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence, which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.


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