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Comparing Treatments in the Presence of Crossing Survival Curves: An Application to Bone Marrow Transplantation

Division of Biostatistics, Medical College of Wisconsin, 8701 Watertown Plank Road, Milwaukee, Wisconsin 53226, USA.
Biometrics (Impact Factor: 1.52). 02/2008; 64(3):733-40. DOI: 10.1111/j.1541-0420.2007.00975.x
Source: PubMed

ABSTRACT In some clinical studies comparing treatments in terms of their survival curves, researchers may anticipate that the survival curves will cross at some point, leading to interest in a long-term survival comparison. However, simple comparison of the survival curves at a fixed point may be inefficient, and use of a weighted log-rank test may be overly sensitive to early differences in survival. We formulate the problem as one of testing for differences in survival curves after a prespecified time point, and propose a variety of techniques for testing this hypothesis. We study these methods using simulation and illustrate them on a study comparing survival for autologous and allogeneic bone marrow transplants.

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    • "We are particularly interested in using these techniques in pseudo-observation regression problems. The pseudo-observation approach has been suggested as a method for direct censored data regression modeling for the survival function (Logan et al., 2008), the cumulative incidence function (Klein and Andersen, 2005), for the mean survival time Andersen et al. (2004), for multistate probabilities (Andersen et al., 2003) and for mean quality of life (Andrei and Murray, 2007). In this approach pseudo-observations are formed as the difference between the full sample and leave one out estimator based on an approximately unbiased estimator of the parameter of interest. "
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    • "Klein et al. [18], investigated the performance of naive test (difference between the two survival curves). Logan et al. [19] focused on crossing survival curves (that contradict the PH assumptions). A number of methods for comparing two survival curves after a prespecified time point. "
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