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The Safe Log Rank Test: Error Control under Optional Stopping, Continuation and Prior Misspecification | | P. Grunwald
; A. Ly
; M.F. Perez-Ortiz
; J. ter Schure
; | | Date: |
13 Nov 2020 | | Abstract: | We introduce the safe log rank test, a version of the log rank test that can
retain type-I error guarantees under optional stopping and continuation. It
allows for effortless combination of data from different trials while keeping
type-I error guarantees, and can be extended to define always-valid confidence
intervals. The test is an instance of the recently developed martingale tests
based on e-values. We demonstrate the validity of the underlying nonnegative
martingale and show how to extend it to sequences of events with ties and to
Cox proportional hazards regression. Initial experiments show that the safe log
rank test performs well in terms of the maximal and the expected amount of
events needed to obtain a desired power. | | Source: | arXiv, 2011.06931 | | Services: | Forum | Review | PDF | Favorites | |
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