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Calculation of Scores for a Wilcoxon Generalization Applicable to Data Subject to Arbitrary Right Censorship
Authors:Nathan Mantel
Institution:Biostatistics Center, Department of Statistics , The George Washington University , 7979 Old Georgetown Road, Bethesda , MD , 20814 , USA
Abstract:For data subject to right censoring it is suggested that the Wilcoxon ranking procedure can be generalized by scoring observations according to the expected values of order statistics from the uniform distribution subject to the same right censoring. This parallels the logrank scoring procedure in which scores correspond to the expected values of order statistics from the exponential distribution that have been subject to right censoring. A caveat is given that, in situations where the mechanism of censoring has been affected by treatment, the usual permutational analysis of ranking scores would be inappropriate. But a jackknife approach could be remedial.
Keywords:Censored data rank tests  Logrank test  Generalized Wilcoxon  Gehan's test  Gehan's test  Order statistics
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