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Data-driven smooth tests of the proportional hazards assumption
D Kraus
Jazyk angličtina Země Spojené státy americké
NLK
ProQuest Central
od 1999-03-01 do Před 1 rokem
Medline Complete (EBSCOhost)
od 2005-03-01 do Před 1 rokem
Health & Medicine (ProQuest)
od 1999-03-01 do Před 1 rokem
Health Management Database (ProQuest)
od 1999-03-01 do Před 1 rokem
Public Health Database (ProQuest)
od 1999-03-01 do Před 1 rokem
- MeSH
- biometrie metody MeSH
- financování organizované MeSH
- interpretace statistických dat MeSH
- lidé MeSH
- počítačová simulace MeSH
- proporcionální rizikové modely MeSH
- statistické modely MeSH
- Check Tag
- lidé MeSH
A new test of the proportional hazards assumption in the Cox model is proposed. The idea is based on Neyman's smooth tests. The Cox model with proportional hazards (i.e. time-constant covariate effects) is embedded in a model with a smoothly time-varying covariate effect that is expressed as a combination of some basis functions (e.g., Legendre polynomials, cosines). Then the smooth test is the score test for significance of these artificial covariates. Furthermore, we apply a modification of Schwarz's selection rule to choosing the dimension of the smooth model (the number of the basis functions). The score test is then used in the selected model. In a simulation study, we compare the proposed tests with standard tests based on the score process.
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- $a Data-driven smooth tests of the proportional hazards assumption / $c D Kraus
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- $a Institute of Information Theory and Automation, Pod Vodarenskou vezi 4, CZ-182 08 Prague 8, Czech Republic. kraus@karlin.mff.cuni.cz
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- $a A new test of the proportional hazards assumption in the Cox model is proposed. The idea is based on Neyman's smooth tests. The Cox model with proportional hazards (i.e. time-constant covariate effects) is embedded in a model with a smoothly time-varying covariate effect that is expressed as a combination of some basis functions (e.g., Legendre polynomials, cosines). Then the smooth test is the score test for significance of these artificial covariates. Furthermore, we apply a modification of Schwarz's selection rule to choosing the dimension of the smooth model (the number of the basis functions). The score test is then used in the selected model. In a simulation study, we compare the proposed tests with standard tests based on the score process.
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- $t Lifetime Data Analysis $w MED00007766 $g Roč. 13, č. 1 Mar (2007), s. 1-16 $x 1380-7870
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