Estimation of Conditional Kendall's Tau for Bivariate Interval Censored Data
- Authors
- 김양진
- Issue Date
- Nov-2015
- Publisher
- 한국통계학회
- Keywords
- AIDS; bivariate interval censored data; conditional Kendall's tau; jackknife variance; quasi-independence; unorderable pairs
- Citation
- Communications for Statistical Applications and Methods, v.22, no.6, pp 599 - 604
- Pages
- 6
- Journal Title
- Communications for Statistical Applications and Methods
- Volume
- 22
- Number
- 6
- Start Page
- 599
- End Page
- 604
- URI
- https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/5234
- DOI
- 10.5351/CSAM.2015.22.6.599
- ISSN
- 2287-7843
- Abstract
- Kendall's tau statistic has been applied to test an association of bivariate random variables. However, incomplete bivariate data with a truncation and a censoring results in incomparable or unorderable pairs. With such a partial information, Tsai (1990) suggested a conditional tau statistic and a test procedure for a quasi independence that was extended to more diverse cases such as double truncation and a semi-competing risk data. In this paper, we also employed a conditional tau statistic to estimate an association of bivariate interval censored data. The suggested method shows a better result in simulation studies than Betensky and Finkelstein's multiple imputation method except a case in cases with strong associations. The association of incubation time and infection time from an AIDS cohort study is estimated as a real data example.
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