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Survival Analysis Using SAS®: A Practical Guide by Paul D. Allison

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Testing for Differences in Survivor Functions

If an experimental treatment has been applied to one group but not another, the obvious question to ask is “Did the treatment make a difference in the survival experience of the two groups?” Since the survivor function gives a complete accounting of the survival experience of each group, a natural approach to answering this question is to test the null hypothesis that the survivor functions are the same in the two groups; that is, S1(t) = S2(t) for all t, where the subscripts distinguish the two groups. PROC LIFETEST calculates two alternative statistics for testing this null hypothesis: the log-rank test (also known as the Mantel-Haenszel test) and the Wilcoxon test. A third test, the likelihood-ratio ...

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