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Modeling Clustered Interval-Censored Failure Time Data with Informative Cluster Size

군집의 크기가 생존시간에 영향을 미치는 군집 구간중도절단된 자료에 대한 준모수적 모형

  • Kim, Jinheum (Department of Applied Statistics, University of Suwon) ;
  • Kim, Youn Nam (Clinical Trials Center Severance Hospital, Yonsei University Health System)
  • 김진흠 (수원대학교 통계정보학과) ;
  • 김윤남 (세브란스병원 임상시험센터)
  • Received : 2014.01.03
  • Accepted : 2014.03.14
  • Published : 2014.04.30

Abstract

We propose two estimating procedures to analyze clustered interval-censored data with an informative cluster size based on a marginal model and investigate their asymptotic properties. One is an extension of Cong et al. (2007) to interval-censored data and the other uses the within-cluster resampling method proposed by Hoffman et al. (2001). Simulation results imply that the proposed estimators have a better performance in terms of bias and coverage rate of true value than an estimator with no adjustment of informative cluster size when the cluster size is related with survival time. Finally, they are applied to lymphatic filariasis data adopted from Williamson et al. (2008).

본 논문에서는 군집 구간중도절단된 자료에서 생존시간이 군집의 크기에 의존할 때 주변모형으로부터 가중 추정 방법과 군집 내 재추출 방법을 써서 모수를 추정하고 그 추정량의 점근적 성질을 살펴보았다. 모의실험을 통해 추정량의 편향의 크기와 신뢰구간의 포함율 측면에서 볼 때 제안한 두 추정 방법이 생존시간과 군집의 크기 간의 종속 관계를 무시한 방법보다 우수한 것으로 나타났다. 제안한 추정 방법을 림프성 사상충 자료에 적용한 결과에 따르면 서로 다른 두 치료방법이 유의하게 다르지 않았으며 나이 효과도 매우 유의하지 않은 것으로 나타났다.

Keywords

References

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