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http://dx.doi.org/10.5351/CSAM.2015.22.6.599

Estimation of Conditional Kendall's Tau for Bivariate Interval Censored Data  

Kim, Yang-Jin (Department of Statistics, Sookmyung Women's University)
Publication Information
Communications for Statistical Applications and Methods / v.22, no.6, 2015 , pp. 599-604 More about this Journal
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.
Keywords
AIDS; bivariate interval censored data; conditional Kendall's tau; jackknife variance; quasi-independence; unorderable pairs;
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