Testing quasi-independence for truncation data

Quasi-independence is a common assumption for analyzing truncated data. To verify this condition, we consider a class of weighted log-rank type statistics that include existing tests proposed by Tsai (1990) and Martin and Betensky (2005) as special cases. To choose an appropriate weight function that may lead to a more power test, we derive a score test when the dependence structure under the alternative hypothesis is modeled via the odds ratio function proposed by Chaieb et al. (2006). Asymptotic analysis is established based on the functional delta method which can handle more general situations than results based on rank-statistics or U-statistics. Simulations are performed to examine finite-sample performances of the proposed method and its competitors. Two datasets are analyzed using different tests for illustrative purposes. Key Words: Censoring; Conditional likelihood; Kendall’s tau; Mantel-Heanszel test; Power; Survival data; Two-by-two table. 1 Takeshi Emura is Assistant Pr...

• Type: Journal
• Year: 2010
• Where: MA
• Authors: Takeshi Emura, Weijing Wang
• Keywords: Appropriate Weight Function, Communications, MA 2010, National Chiao Tung University, Odds Ratio Function