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Weighted Logrank Tests With Multiple Events

In: Probability, Statistics and Modelling in Public Health

Author

Listed:
  • C. Pinçon

    (EA 3614, Laboratoire de Biomathématiques)

  • O. Pons

    (INRA, Département MIA)

Abstract

Summary We focus on the two group comparison when subjects of the sample may experience multiple distinct events, possibly censored. Because of the correlation arising between failure times, the sum of the marginal test statistics is not accurate. We propose a multivariate version of weighted logrank tests derived from the marginal logrank statistics, and we study their asymptotic distribution under null hypothesis; we construct a consistent estimator of their covariance using martingales properties. We present a simulation study and an application of this method to a study aimed to prove the association between retinopathy and diabetes.

Suggested Citation

  • C. Pinçon & O. Pons, 2006. "Weighted Logrank Tests With Multiple Events," Springer Books, in: Mikhail Nikulin & Daniel Commenges & Catherine Huber (ed.), Probability, Statistics and Modelling in Public Health, pages 378-391, Springer.
  • Handle: RePEc:spr:sprchp:978-0-387-26023-5_25
    DOI: 10.1007/0-387-26023-4_25
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