Comparison of multiple hazard rate functions

Many robust tests have been proposed in the literature to compare two hazard rate functions, however, very few of them can be used in cases when there are multiple hazard rate functions to be compared. In this article, we propose an approach for detecting the difference among multiple hazard rate functions. Through a simulation study and a real-data application, we show that the new method is robust and powerful in many situations, compared with some commonly used tests.

[1]  D. Harrington,et al.  Counting Processes and Survival Analysis , 1991 .

[2]  Song Yang,et al.  Improved Logrank‐Type Tests for Survival Data Using Adaptive Weights , 2010, Biometrics.

[3]  Peihua Qiu,et al.  Comparing two crossing hazard rates by Cox proportional hazards modelling , 2007, Statistics in medicine.

[4]  E. Gehan.  A GENERALIZED WILCOXON TEST FOR COMPARING ARBITRARILY SINGLY-CENSORED SAMPLES. , 1965, Biometrika.

[5]  Z. Ying,et al.  A Class of Weighted Log-Rank Tests for Survival Data When the Event is Rare , 2000 .

[6]  Xun Lin,et al.  A New Testing Approach for Comparing the Overall Homogeneity of Survival Curves , 2004 .

[7]  Z Chen,et al.  Is the weighted z‐test the best method for combining probabilities from independent tests? , 2011, Journal of evolutionary biology.

[8]  M. Kendall.  Statistical Methods for Research Workers , 1937, Nature.

[9]  Peihua Qiu,et al.  Model selection and diagnostics for joint modeling of survival and longitudinal data with crossing hazard rate functions , 2014, Statistics in medicine.

[10]  W. Haenszel,et al.  Statistical aspects of the analysis of data from retrospective studies of disease. , 1959, Journal of the National Cancer Institute.

[11]  Saralees Nadarajah,et al.  On the optimally weighted z-test for combining probabilities from independent studies , 2014, Comput. Stat. Data Anal..

[12]  Catherine Huber,et al.  Weighted log rank statistics for comparing two distributions , 1992 .

[13]  Peihua Qiu,et al.  A two‐stage procedure for comparing hazard rate functions , 2007 .

[14]  A. V. D. Vaart,et al.  Asymptotic Statistics: U -Statistics , 1998 .

[15]  E. J. Brown,et al.  The effect of digoxin on mortality and morbidity in patients with heart failure. , 1997, The New England journal of medicine.