The Korean Journal of Applied Statistics (응용통계연구)

The Korean Statistical Society (한국통계학회)
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A concordance test for bivariate interval censored data using a leverage bootstrap

지렛대 붓스트랩을 이용한 이변량 구간 중도 절단 자료의 일치성 검정

  • Kim, Yang-Jin (Department of Statistics, Sookmyung Women's University)
  • 김양진 (숙명여자대학교 통계학과)
  • Received : 2019.08.27
  • Accepted : 2019.10.04
  • Published : 2019.10.31
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Abstract

A test procedure based on a Kendall's τ statistic is proposed for the association of bivariate interval censored data. In particular, a leverage bootstrap technique is applied to replace unknown failure times and a classical adjustment method is applied for treating tied observations. The suggested method shows desirable results in simulation studies. An AIDS dataset is analyzed with the suggested method.

본 논문에서는 이변량 구간 중도 절단 자료의 연관성 검정을 연구하고자 한다. Kendall's τ 통계량은 분포의 가정을 필요로 하지 않는 비모수방법으로 연관성 검정을 위해 빈번히 적용되고 있다. 본 논문에서도 이러한 τ 통계량을 이용한 검정을 하기 위해 붓스트랩 방법을 적용시킨다. 일반적인 비모수 붓스트랩 방법의 구간 중도 절단에 적용은 편의된 결과를 보여주었다. 이는 구간 중도 절단자료의 불완전성(incompleteness)과 관련된 것으로 이를 극복하기 위해 지렛대 붓스트랩 방법을 적용하였다. 추정된 분포에 근거하여 구간 중도 절단 대신 모의 완전한 표본(pseudo complete data)을 추룰하는 것이다. 본 논문에서는 재표본의 크기 m을 결정하기 위해 기존 연구자의 공식을 이용하였다. 시행된 모의 실험의 결과는 바람직한 제 1종 오류값과 좋은 검정력을 보였주었으며 실제 적용 예로 AIDS 자료에서 HIV 감염시점과 바이러스 잠복 시간과의 연관성 여부를 검정해보았다.

Keywords

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