Journal of the Korean Data and Information Science Society

The Korean Data and Information Science Society (한국데이터정보과학회)
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Estimation of hazard function and hazard change-point for the rectal cancer data

직장암 데이터에 대한 위험률 함수 추정 및 위험률 변화점 추정

  • Lee, Sieun (Department of Information and Statistics, Duksung Women's University) ;
  • Shim, Byoung Yong (The Catholic University of Korea St. Vincent's Hospital) ;
  • Kim, Jaehee (Department of Information and Statistics, Duksung Women's University)
  • 이시은 (덕성여자대학교 정보통계학과) ;
  • 심병용 (가톨릭대학교 성빈센트병원) ;
  • 김재희 (덕성여자대학교 정보통계학과)
  • Received : 2015.07.10
  • Accepted : 2015.09.16
  • Published : 2015.11.30
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Abstract

In this research, we fit various survival models and conduct tests and estimation for the hazard change-point with the rectal cancer data. By the log-rank tests, at significance level ${\alpha}=0.10$, survival functions are significantly different according to the uniporter of glucose (GLUT1), clinical stage (cstage) and pathologic stage (ypstage). From the Cox proportional hazard model, the most significant covariates are GLUT1 and ypstage. Assuming that the rectal cancer data follows the exponential distribution, we estimate one hazard change-point using Matthews and Farewell (1982), Henderson (1990) and Loader (1991) methods.

본 연구에서는 직장암 환자들의 수술 후 재발까지의 시간 데이터에 대해 집단 간 생존함수 양상에 차이가 있는지 로그 순위 검정 결과 유의수준 10%에서 포도당 단일수송체 (GLUT1)의 수준, 수술 전 병기 (cstage), 수술 후 병기 (ypstage)에 따른 차이가 유의하며, Cox 비례위험률 모형을 이용하여 검정한 결과 가장 유의한 공변량은 포도당 단일수송체와 수술 후 병기였다. 지수분포를 따른다고 가정할 경우, 우도함수를 기반한 여러 가지 위험률 변화점을 추정하였다.

Keywords

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