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Selection and Application of Methods for Comparing Survival Function in Proportional Hazard and Nonproportional Hazard Survival Analysis

摘要


In order to study and compare the effectiveness of various directional methods and their application scope, this paper selects four commonly used methods, namely the log‐rank test, the Breslow test for adjusting weights, the Lin‐Wang test for constructing statistics based on the sum of squares of difference, and the two‐stage test for integrating the log-rank test and analyzing cross structures. In addition, TailComp test, a weighted log‐rank test similar to Breslow test, is proposed in this paper. Monte Carlo was used to generate survival data with four different characteristics, and five tests were used for testing. The results of various testing methods are summarized and the application Suggestions are given.

參考文獻


Breslow, N.E., Edler, L., and Berger, J(1984). A two–sample censored-data rank test for accel-eration. Biometrics, vol.40, p1049–1062.
Lin, X., and Wang, H(2004). A new testing approach for comparing the overall homogeneity ofsurvival curves. Biometrical Journal, vol.46, p489–496.
Qiu PH, Sheng J(2008). A two-stage procedure for comparing hazard rate Functions[J]. Journal of the Royal Statistical Society Series B, 2008, vol.70,no.1, p191-208.
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Mantel N(1966). Evaluation of survival data and two new rank order statistics arising in its consideration. Cancer Chemother Rep, vol.50, p163-170.

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