Inference on bivariate survival data with interval sampling through Kendalls Tau: testing and association measure
In many biomedical applications, interest focuses on the occurrence of two or more consecutive failure events and the association between event times. Bivariate survival data with interval sampling arise frequently when disease registry or surveillance systems commonly collect data with incidence of disease occurring within a calendar time interval. The initiating event is retrospectively confirmed and subsequent failure event is observed during followup. In cancer studies, the initiating and two consecutive failure events could correspond to birth, cancer onset and death. Such data represent a nonrandomly screened subset of a population and the interval sampling bias needs to be properly adjusted in analysis. Similar to truncated survival data, the analysis method for this type of data relies on the key assumption of independence, that is, the disease process does not depend on when the initiating event occurs. This paper proposes a nonparametric test of a relatively weaker but sufficient assumption of quasiindependence based on a coordinatewise conditional Kendalls tau for bivariate survival data with interval sampling. Further, to quantify dependence between bivariate failure times given quasiindependence, a non-parametric estimator of Kendalls tau that uses inverse probability weights is developed, where the contribution of each comparable and orderable pair is weighted by the inverse of the associated probability. Simulation studies demonstrate that the test procedure and association estimator perform well with moderate sample sizes. The methods are applied to ovarian cancer registry data for illustration.
Bivariate survival data Dependence Interval sampling Kendalls tau U-statistic
By Hong Zhu and Mei Cheng Wang
Division of Biostatistics, College of Public Health, The Ohio State University,1841 Neil Avenue,248 Department of Biostatistics,Bloomberg School of Public Health,Johns Hopkins University,615 N.Wolfe S
国际会议
Second Joint Biostatistics Symposium(第二届生物统计国际研讨会2012)
北京
英文
406-419
2012-07-08（万方平台首次上网日期，不代表论文的发表时间）