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Non‐parametric analysis of treatment—covariate interaction in the presence of censoring
Author(s) -
Schemper M.
Publication year - 1988
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/sim.4780071206
Subject(s) - covariate , categorical variable , censoring (clinical trials) , statistics , econometrics , generality , parametric statistics , hazard , ordinal scale , mathematics , psychology , chemistry , organic chemistry , psychotherapist
The demonstration of varying treatment efficacy among different subsets of patients is an important part of the analysis of clinical trials. The paper commences by clarifying the meaning of interaction and by reviewing valid procedures of analysis in the presence of interaction. Suitable descriptive measures of treatment—covariate interactions are (ratios of) hazard ratios to which generalized Patel—Hoel tests for qualitative or ordinal categorical covariates are related. Both the hazard ratios and the tests are given in a formulation for use with different scoring systems such as u ‐ or e. Furthermore, the procedures are related to common k ‐sample tests and thus are suitable for proportional and for converging hazards. A worked example is included.