We propose a nonparametric test for diagnosis of the proportionality assumption between hazard functions based on a functional equation. Because of involvement of censoring distribution, we consider the test procedure in an asymptotic manner and obtain the asymptotic normality for the proposed test statistic. Then we discuss the rationale of use of the functional equation for the initial effect model. Finally we compare our test with others using an example.
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UCL, Hlth Care Evaluat Grp, Res Dept Epidemiol & Publ Hlth, London WC1E 6BT, EnglandUCL, Hlth Care Evaluat Grp, Res Dept Epidemiol & Publ Hlth, London WC1E 6BT, England
Vallejo-Torres, Laura
Morris, Stephen
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UCL, Hlth Care Evaluat Grp, Res Dept Epidemiol & Publ Hlth, London WC1E 6BT, EnglandUCL, Hlth Care Evaluat Grp, Res Dept Epidemiol & Publ Hlth, London WC1E 6BT, England
Morris, Stephen
Carr-Hill, Roy
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Univ York, Ctr Hlth Econ, York YO10 5DD, N Yorkshire, EnglandUCL, Hlth Care Evaluat Grp, Res Dept Epidemiol & Publ Hlth, London WC1E 6BT, England
Carr-Hill, Roy
Dixon, Paul
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Univ York, Ctr Hlth Econ, York YO10 5DD, N Yorkshire, EnglandUCL, Hlth Care Evaluat Grp, Res Dept Epidemiol & Publ Hlth, London WC1E 6BT, England
Dixon, Paul
Law, Malcom
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Queen Mary Univ London, Wolfson Inst Prevent Med, London, EnglandUCL, Hlth Care Evaluat Grp, Res Dept Epidemiol & Publ Hlth, London WC1E 6BT, England
Law, Malcom
Rice, Nigel
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Univ York, Ctr Hlth Econ, York YO10 5DD, N Yorkshire, EnglandUCL, Hlth Care Evaluat Grp, Res Dept Epidemiol & Publ Hlth, London WC1E 6BT, England
Rice, Nigel
Sutton, Matthew
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Univ Manchester, Hlth Methodol Res Grp, Manchester M13 9PL, Lancs, EnglandUCL, Hlth Care Evaluat Grp, Res Dept Epidemiol & Publ Hlth, London WC1E 6BT, England