A partial likelihood approach to smooth estimation of dynamic covariate effects using penalised splines
Brown D, Kauermann G, Ford I (2007)
BIOMETRICAL JOURNAL 49(3): 441-452.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Autor*in
Brown, Denise;
Kauermann, GöranUniBi;
Ford, Ian
Einrichtung
Abstract / Bemerkung
Survival data are often modelled by the Cox proportional hazards model, which assumes that covariate effects are constant over time. In recent years however, several new approaches have been suggested which allow covariate effects to vary with time. Non-proportional hazard functions, with covariate effects changing dynamically, can be fitted using penalised spline (P-spline) smoothing. By utilising the link between P-spline smoothing and generalised linear mixed models, the smoothing parameters steering the amount of smoothing can be selected. A hybrid routine, combining the mixed model approach with a classical Akaike criterion, is suggested. This approach is evaluated with simulations and applied to data from the West of Scotland Coronary Prevention Study.
Stichworte
West of Scotland Coronary Prevention Study;
non-proportional hazards;
P-splines;
generalised linear mixed models
Erscheinungsjahr
2007
Zeitschriftentitel
BIOMETRICAL JOURNAL
Band
49
Ausgabe
3
Seite(n)
441-452
ISSN
0323-3847
eISSN
1521-4036
Page URI
https://pub.uni-bielefeld.de/record/1593331
Zitieren
Brown D, Kauermann G, Ford I. A partial likelihood approach to smooth estimation of dynamic covariate effects using penalised splines. BIOMETRICAL JOURNAL. 2007;49(3):441-452.
Brown, D., Kauermann, G., & Ford, I. (2007). A partial likelihood approach to smooth estimation of dynamic covariate effects using penalised splines. BIOMETRICAL JOURNAL, 49(3), 441-452. https://doi.org/10.1002/bimj.200510325
Brown, Denise, Kauermann, Göran, and Ford, Ian. 2007. “A partial likelihood approach to smooth estimation of dynamic covariate effects using penalised splines”. BIOMETRICAL JOURNAL 49 (3): 441-452.
Brown, D., Kauermann, G., and Ford, I. (2007). A partial likelihood approach to smooth estimation of dynamic covariate effects using penalised splines. BIOMETRICAL JOURNAL 49, 441-452.
Brown, D., Kauermann, G., & Ford, I., 2007. A partial likelihood approach to smooth estimation of dynamic covariate effects using penalised splines. BIOMETRICAL JOURNAL, 49(3), p 441-452.
D. Brown, G. Kauermann, and I. Ford, “A partial likelihood approach to smooth estimation of dynamic covariate effects using penalised splines”, BIOMETRICAL JOURNAL, vol. 49, 2007, pp. 441-452.
Brown, D., Kauermann, G., Ford, I.: A partial likelihood approach to smooth estimation of dynamic covariate effects using penalised splines. BIOMETRICAL JOURNAL. 49, 441-452 (2007).
Brown, Denise, Kauermann, Göran, and Ford, Ian. “A partial likelihood approach to smooth estimation of dynamic covariate effects using penalised splines”. BIOMETRICAL JOURNAL 49.3 (2007): 441-452.
Daten bereitgestellt von European Bioinformatics Institute (EBI)
5 Zitationen in Europe PMC
Daten bereitgestellt von Europe PubMed Central.
Cox models with dynamic ridge penalties on time-varying effects of the covariates.
Perperoglou A., Stat Med 33(1), 2014
PMID: 23913655
Perperoglou A., Stat Med 33(1), 2014
PMID: 23913655
Hypothesis testing for an extended cox model with time-varying coefficients.
Saegusa T, Di C, Chen YQ., Biometrics 70(3), 2014
PMID: 24888739
Saegusa T, Di C, Chen YQ., Biometrics 70(3), 2014
PMID: 24888739
Comparison of procedures to assess non-linear and time-varying effects in multivariable models for survival data.
Buchholz A, Sauerbrei W., Biom J 53(2), 2011
PMID: 21328605
Buchholz A, Sauerbrei W., Biom J 53(2), 2011
PMID: 21328605
Semiparametric regression during 2003-2007.
Ruppert D, Wand MP, Carroll RJ., Electron J Stat 3(), 2009
PMID: 20305800
Ruppert D, Wand MP, Carroll RJ., Electron J Stat 3(), 2009
PMID: 20305800
The separation of timescales in Bayesian survival modeling of the time-varying effect of a time-dependent exposure.
Haneuse SJ, Rudser KD, Gillen DL., Biostatistics 9(3), 2008
PMID: 18025072
Haneuse SJ, Rudser KD, Gillen DL., Biostatistics 9(3), 2008
PMID: 18025072
28 References
Daten bereitgestellt von Europe PubMed Central.
Comment on D. R. Cox (1972) paper
Breslow, Journal of the Royal Statistical Society, Series B 34(), 1972
Breslow, Journal of the Royal Statistical Society, Series B 34(), 1972
Approximate inference in generalized linear mixed models
Breslow, Journal of the American Statistical Association 88(), 1993
Breslow, Journal of the American Statistical Association 88(), 1993
Hazard regression for interval-censored data with penalized spline.
Cai T, Betensky RA., Biometrics 59(3), 2003
PMID: 14601758
Cai T, Betensky RA., Biometrics 59(3), 2003
PMID: 14601758
Mixed model-based hazard estimation
Cai, Journal of Computational and Graphical Statistics 11(), 2002
Cai, Journal of Computational and Graphical Statistics 11(), 2002
Local linear estimation for time-dependent coefficients in Cox's regression models
Cai, Scandinavian Journal of Statistics 30(), 2003
Cai, Scandinavian Journal of Statistics 30(), 2003
Regression models and life tables (with discussion)
Cox, Journal of the Royal Statistical Society, Series B 34(), 1972
Cox, Journal of the Royal Statistical Society, Series B 34(), 1972
AUTHOR UNKNOWN, 0
Flexible smoothing with B -splines and penalties
Eilers, Statistical Science 11(), 1996
Eilers, Statistical Science 11(), 1996
Local likelihood and local partial likelihood in hazard regression
Fan, The Annals of Statistics 25(), 1997
Fan, The Annals of Statistics 25(), 1997
Proportional hazards tests and diagnostics based on weighted residuals
Grambsch, Biometrika 81(), 1994
Grambsch, Biometrika 81(), 1994
Flexible methods for analyzing survival data using splines, with application to breast cancer prognosis
Gray, Journal of the American Statistical Association 87(), 1992
Gray, Journal of the American Statistical Association 87(), 1992
Pseudosplines
Hastie, Journal of the Royal Statistical Society, Series B 58(), 1996
Hastie, Journal of the Royal Statistical Society, Series B 58(), 1996
Exploring the nature of covariate effects in the proportional hazards model.
Hastie T, Tibshirani R., Biometrics 46(4), 1990
PMID: 1964808
Hastie T, Tibshirani R., Biometrics 46(4), 1990
PMID: 1964808
Graphical methods for assessing violations of the proportional hazards assumption in Cox regression.
Hess KR., Stat Med 14(15), 1995
PMID: 7481205
Hess KR., Stat Med 14(15), 1995
PMID: 7481205
A note on smoothing parameter selection for penalized spline smoothing
Kauermann, Journal of Statistical Planning and Inference 127(), 2004
Kauermann, Journal of Statistical Planning and Inference 127(), 2004
Penalized spline smoothing in multivariable survival models with varying coefficients
Kauermann, Computational Statistics and Data Analysis 49(), 2005
Kauermann, Computational Statistics and Data Analysis 49(), 2005
Hazard regression
Kooperberg, Journal of the American Statistical Association 90(), 1995
Kooperberg, Journal of the American Statistical Association 90(), 1995
A statistical perspective on ill-posed inverse problems (with discussion)
O'Sullivan, Statistical Science 1(), 1986
O'Sullivan, Statistical Science 1(), 1986
Nonparametric estimation of relative risk using splines and cross-validation
O'Sullivan, SIAM Journal on Scientic and Statistical Computing 9(), 1988
O'Sullivan, SIAM Journal on Scientic and Statistical Computing 9(), 1988
Selecting the number of knots for penalized splines
Ruppert, Journal of Computational and Graphical Statistics 11(), 2002
Ruppert, Journal of Computational and Graphical Statistics 11(), 2002
AUTHOR UNKNOWN, 0
A coronary primary prevention study of Scottish men aged 45-64 years: trial design
AUTHOR UNKNOWN, Journal of Clinical Epidemiology 45(), 1992
AUTHOR UNKNOWN, Journal of Clinical Epidemiology 45(), 1992
Baseline risk factors and their association with outcome in the West of Scotland Coronary Prevention Study
AUTHOR UNKNOWN, American Journal of Cardiology 79(), 1997
AUTHOR UNKNOWN, American Journal of Cardiology 79(), 1997
AUTHOR UNKNOWN, 0
Smoothing and mixed models
Wand, Computational Statistics 18(), 2003
Wand, Computational Statistics 18(), 2003
Thin-plate regression splines
Wood, Journal of the Royal Statistical Society, Series B 65(), 2003
Wood, Journal of the Royal Statistical Society, Series B 65(), 2003
Nonparametric survival analysis with time-dependent covariate effects: a penalized partial likelihood approach
Zucker, The Annals of Statistics 18(), 1990
Zucker, The Annals of Statistics 18(), 1990
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