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A Likelihood Ratio Test of the Equality of Paired Survival Data with Censoring
Author(s) -
Knapp R. G.,
Gross A. J.,
Cantor A. B.
Publication year - 1986
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710280604
Subject(s) - censoring (clinical trials) , statistics , mathematics , likelihood ratio test , bivariate analysis , exponential distribution , econometrics
A test is developed to determine whether the mean survival times are equal when dealing with paired survival data. We assume the data follow a bivariate exponential distribution for which the variables are conditionally independent. The unconditional distribution is derived in which the distribution of the nuissance variable is general. A method based on the likelihood ratio is derived to obtain the test. The data are allowed to have both left and right censoring.