Aralıklı Sansürlü Veriler için Sağkalım Modelleri

Abstract

Sansürleme, sağkalım analizi diğer istatistiksel yöntemlerden ayıran en önemli özelliktir. Sansürleme türleri ise sağdan, soldan ve aralıklı sansürleme olarak sınıflandırılmaktadır. Sağkalım analizinde kullanılan modellerin çoğu gözlemlerin sağdan sansürlü olduğu veri kümeleri için geliştirilmiştir. Aralıklı sansürlü veriler ile ilgili çalışmalar da son yıllarda hız kazanmıştır. Birimin başarısızlık süresi belli bir aralıkta gerçekleşiyorsa aralıklı sansürlü gözlemler söz konusudur. Bu veriler genellikle, ilgilenilen gözlemlerin sürekli izlenemediği durumda oluşur. Sadece ilgilenilen olayın iki gözlem periyodu arasında meydana geldiği bilinmektedir. sağkalım çözümlemesinde yaygın olarak kullanılan Cox regresyon modeli ve parametrik sağkalım modelleri aralıklı sansürlü veriler için de geliştirilmiştir. Bu çalışmada aralıklı sansürlü veriler için sağkalım modelleri incelenmiş ve literatürde yer alan Primer Biliyer Siroz verisi hem aralıklı sansürlü hem de sağdan sansürlü olarak ele alınarak analiz edilmiştir.

Keywords

• Aralıklı sansürlü
• Cox regresyon modeli
• Hızlandırılmış başarısızlık süresi modeli
• Orantılı tehlikeler
• Sağdan sansürlü

Survival Models with Interval Censored Data

Abstract

Censoring is the most important feature that distinguishes survival analysis from other statistical methods. The types of censoring are classified as right, left and interval censoring. Most of the models used in survival analysis were developed for data sets in which observations were right censored. Studies on interval censoring gains speed in recent years. If the failure time of the unit occurs within a certain range, there are interval censored observations. These data usually occur when observations of interest are not constantly monitored. It is only known that the event of interest takes place between two observation periods. Cox regression model and parametric survival models used commonly in survival analysis have been developed for interval censored data. In this study, survival models for interval censored data are examined and primary biliary cirrhosis data is analyzed both for right censored and interval censored data structure.

Keywords

• Interval censoring
• Cox regression model
• Accelerated failure time model
• Proportional hazards
• Right censoring

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