Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Statistical Analysis of Clustered Interval-Censored Data with Informative Cluster Size

정보적군집 크기를 가진 군집화된 구간 중도절단자료 분석을 위한결합모형의 적용

  • Kim, Yang-Jin (Department of Statistics, Sookmyung Women's University) ;
  • Yoo, Han-Na (Institute of Statistics, Korea University)
  • Received : 20100700
  • Accepted : 20100800
  • Published : 2010.09.30
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Abstract

Interval-censored data are commonly found in studies of diseases that progress without symptoms, which require clinical evaluation for detection. Several techniques have been suggested with independent assumption. However, the assumption will not be valid if observations come from clusters. Furthermore, when the cluster size relates to response variables, commonly used methods can bring biased results. For example, in a study on lymphatic filariasis, a parasitic disease where worms make several nests in the infected person's lymphatic vessels and reside until adulthood, the response variable of interest is the nest-extinction times. Since the extinction times of nests are checked by repeated ultrasound examinations, exact extinction times are not observed. Instead, data are composed of two examination points: the last examination time with living worms and the first examination time with dead worms. Furthermore, as Williamson et al. (2008) pointed out, larger nests show a tendency for low clearance rates. This association has been denoted as an informative cluster size. To analyze the relationship between the numbers of nests and interval-censored nest-extinction times, this study proposes a joint model for the relationship between cluster size and clustered interval-censored failure data.

구간중도 절단자료는 감염 자료, 종양 발생 자료등 그 발생 시간을 정확하게 관측할 수 없는 경우에 흔히 발생되는 자료로 정확한 사건 발생 시간대신에 발생 전 마지막 관측시점과 발생 후 첫 번째 관측시점으로 구성된다. 이러한 종류의 자료는 Sun (2006)에 의해 자세하게 논의되었으며 관측 개체간의 독립성 가정 하에서 여러 가지 방법들에 의해 분석되어져 왔다. 본 논문에서는 관측 개체들이 군집으로부터 발생하여 더 이상독립성 가정이 적절하지 못한 경우를 고려한다. 특히 반응변수인 사건 발생 시간이 군집의 크기와 연관되어 있을 때, 이를 고려하기 위한 결합 모형을 제시한다. 제안된 모형은 림프계 필라리아병의 실제 자료에 적용한다.

Keywords

References

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