2017
DOI: 10.1177/0962280217710836
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Nonparametric combination tests for comparing two survival curves with informative and non-informative censoring

Abstract: This paper looks at permutation methods used to deal with hypothesis testing within the survival analysis framework. In the literature, several attempts have been made to deal with the comparison of survival curves and, depending on the survival and hazard functions of two groups, they can be more or less efficient in detecting differences. Furthermore, in some situations, censoring can be informative in that it depends on treatment effect. Our proposal is based on the nonparametric combination approach and ha… Show more

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Cited by 9 publications
(5 citation statements)
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References 60 publications
(102 reference statements)
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“…By construction, this test is exact if (Y1,,YN) are exchangeable. 2527 Below we prove that both, the permutation Z N - and ZN,inv- tests are also asymptotically valid in our general setting. Note, that the current approach has a major advantage over other resampling tests, for example, that are based upon permuting centred or standardised observations or residuals 2830 : It maintains the finite sample exactness under exchangeability while being asymptotically correct in general.…”
Section: Permutation Testsmentioning
confidence: 67%
“…By construction, this test is exact if (Y1,,YN) are exchangeable. 2527 Below we prove that both, the permutation Z N - and ZN,inv- tests are also asymptotically valid in our general setting. Note, that the current approach has a major advantage over other resampling tests, for example, that are based upon permuting centred or standardised observations or residuals 2830 : It maintains the finite sample exactness under exchangeability while being asymptotically correct in general.…”
Section: Permutation Testsmentioning
confidence: 67%
“…27 Following this line, other options might be investigated to address the non-proportionality issue, as applying the same test at multiple time-points, and using a non-parametric combination (NPC) approach to obtain a single output statistic and p value. 28…”
Section: Discussionmentioning
confidence: 99%
“…Partial tests are non-parametrically merged through a Conditional Monte Carlo resampling procedure, using the Fisher, Tippett, or Liptak combination functions [ 29 , 30 ]; we cite current applications in the context of medical research for public health protection [ 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 ].…”
Section: Methodsmentioning
confidence: 99%