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Goodness-of-fit testing of survival models in the presence of Type–II right censoring

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Abstract

We consider a variety of tests for testing goodness–of–fit in a parametric Cox proportional hazards (PH) and accelerated failure time (AFT) model in the presence of Type–II right censoring. The testing procedures considered can be divided in two categories: an approach involving transforming the data to a complete sample and an approach using test statistics that can directly accommodate Type-II right censoring. The power of the proposed tests are compared through a Monte Carlo study for various scenarios. It is found that both approaches are useful for testing exponentiality if the censoring proportion in a data set is lower than 30%, but that it is recommended to use the approach that first transforms the sample to a complete sample when one encounters higher censoring proportions.

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Correspondence to M. Cockeran or L. Santana.

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S. G. Meintanis: On sabbatical leave from the University of Athens.

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Cockeran, M., Meintanis, S.G., Santana, L. et al. Goodness-of-fit testing of survival models in the presence of Type–II right censoring. Comput Stat 36, 977–1010 (2021). https://doi.org/10.1007/s00180-020-01050-7

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  • DOI: https://doi.org/10.1007/s00180-020-01050-7

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