Smooth estimation of survival functions and hazard ratios from interval-censored data using Bayesian penalized B-splines

Cetinyürek, Aysun; Lambert, Philippe

doi:10.1002/sim.4081

Article (Scientific journals)

Smooth estimation of survival functions and hazard ratios from interval-censored data using Bayesian penalized B-splines

Cetinyürek, Aysun; Lambert, Philippe

2011 • In Statistics in Medicine, 30 (1), p. 75-90

Peer Reviewed verified by ORBi

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https://hdl.handle.net/2268/69424

DOI
10.1002/sim.4081

PubMed
20963752

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Keywords :

bayesian; P-spline; Cox proportional hazards

Abstract :

[en] We discuss the use of Bayesian P-spline and of the composite link model to estimate survival functions and hazard-ratios from interval-censored data. If one further assumes proportionality of the hazards, the proposed strategy provides a smoothed estimate of the baseline hazard along with estimates of global covariate effects. The frequentist properties of our Bayesian estimators are assessed by an extensive simulation study. We further illustrate the methodology by two examples showing that the proportionality of the hazards might also be found inappropriate from interval-censored data.

Disciplines :

Mathematics

Author, co-author :

Cetinyürek, Aysun ; Université de Liège - ULiège > Institut des sciences humaines et sociales > Méthodes quantitatives en sciences sociales

Lambert, Philippe ; Université de Liège - ULiège > Institut des sciences humaines et sociales > Méthodes quantitatives en sciences sociales

Language :

English

Title :

Smooth estimation of survival functions and hazard ratios from interval-censored data using Bayesian penalized B-splines

Publication date :

15 January 2011

Journal title :

Statistics in Medicine

ISSN :

0277-6715

eISSN :

1097-0258

Publisher :

John Wiley & Sons, Hoboken, United States - New Jersey

Volume :

Issue :

Pages :

75-90

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 17 August 2010

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Bibliography

Law, G., Brookmeyer, R., Effects of mid-point imputation on the analysis of doubly censored data (1992) Statistics in Medicine, 11, pp. 1569-1578
Kim, J.S., Maximum likelihood estimation for the proportional hazards model with partly interval-censored data (2003) Journal of the Royal Statistical Society, Series B, 65, pp. 489-502
Peto, R., Experimental survival curves for interval-censored data (1973) Journal of the Royal Statistical Society, Series C, 22, pp. 86-91
Turnbull, B.W., The empirical distribution function with arbitrarily grouped, censored, and truncated data (1976) Journal of the Royal Statistical Society, Series B (Methodological), 38, pp. 290-295
Yang, M., Hanson, T., Christensen, R., Nonparametric Bayesian estimation of a bivariate density with interval censored data (2008) Computational Statistics and Data Analysis, 52, pp. 5202-5214
Kooperberg, C., Stone, C.J., Logspline density estimation for censored data (1992) Journal of Computational and Graphical Statistics, 1, pp. 301-328
Hansen, M.H., Kooperberg, C., Spline adaptation in extended linear models (with Discussion) (2002) Statistical Science, 17, pp. 2-51
Cox, D.R., Regression models and life tables (1972) Journal of the Royal Statistical Society, Series American B, 34, pp. 187-220
Lambert, P., Eilers, P.H.C., Bayesian proportional hazards model with time varying regression coefficients: a penalized Poisson regression approach (2005) Statistics in Medicine, 24, pp. 3977-3989
Rosenberg, P.S., Hazard function estimation using B-splines (1995) Biometrics, 51, pp. 874-887
Whittemore, A.C., Kellner, J.B., Survival estimation using splines (1986) Biometrics, 42, pp. 495-506
Finkelstein, D.M., A proportional hazards model for interval-censored failure time data (1986) Biometrics, 42, pp. 845-854
Goetghebeur, E., Ryan, L., Semiparametric regression analysis of interval-censored data (2000) Biometrics, 56, pp. 1139-1144
Betensky, R.A., Lindsey, J.C., Ryan, L.M., Wand, M.P., A local likelihood proportional hazards model for interval-censored data (2002) Statistics in Medicine, 21, pp. 263-275
Cai, T., Betensky, R.A., Hazard regression for interval-censored data with penalized spline (2003) Biometrics, 59, pp. 570-579
Komarek, A., Lesaffre, E., Hilton, J.F., Accelerated failure time model for arbitrarily censored data with smoothed error distribution (2005) Journal of Computational and Graphical Statistics, 14 (3), pp. 726-745
Zhang, M., Davidian, M., Smooth semiparametric regression for arbitrarily censored time-to-event data (2008) Biometrics, 64 (2), pp. 567-576
Gallant, A.R., Nychka, D., Semi-nonparametric maximum likelihood estimation (1987) Econometrica, 15, pp. 363-390
Eilers, P.H.C., Marx, B.D., Flexible smoothing with B-splines and penalties (with Comments and Rejoinder) (1996) Statistical Science, 11, pp. 89-121
Lambert, P., Eilers, P.H.C., Bayesian density estimation from grouped continuous data (2009) Computational Statistics and Data Analysis, 53, pp. 1388-1399
Thompson, R., Baker, R.J., Composite link functions in generalized linear models (1981) Journal of the Royal Statistical Society, Series C (Applied Statistics), 30, pp. 125-131
Lang, S., Brezger, A., Bayesian P-splines (2004) Journal of Computational and Graphical Statistics, 13, pp. 183-212
Lambert, P., Archimedean copula estimation using Bayesian splines smoothing techniques (2007) Computational Statistics and Data Analysis, 51, pp. 6307-6320
Jullion, A., Lambert, P., Robust specification of roughness penalty prior distribution in spatially adaptive Bayesian P-splines model (2007) Computational Statistics and Data Analysis, 51, pp. 2542-2558
Scheipl, F., Kneib, T., Locally adaptive Bayesian P-splines with a normal-exponential-gamma prior (2009) Computational Statistics and Data Analysis, 53, pp. 3533-3552
Strasak, A.M., Lang, S., Kneib, T., Brant, L.J., Klenk, J., Hilbe, W., Oberaigner, W., Ulmer, H., Use of penalized splines in extended Cox-type additive hazard regression to flexibly estimate the effect of time-varying serum uric acid on risk of cancer incidence: a prospective, population-based study in 78 850 men (2009) Annals of Epidemiology, 19 (1), pp. 15-24. , The VHM PP Study Group
Carlin, B.P., Louis, T.A., Bayes and Empirical Bayes Methods for Data Analysis (2000), Chapman & Hall, CRC Press: London, Guelph, Ont.
Gelman, A., Roberts, G.O., Gilks, W.R., Efficient Metropolis jumping rules (1996) Bayesian Statistics, 5, pp. 599-607
Roberts, G.O., Rosenthal, J.S., Optimal scaling for various Metropolis-Hastings algorithms (2001) Statistical Science, 16, pp. 351-367
Atchadé, Y.F., Rosenthal, J.S., On adaptive Markov chain Monte Carlo algorithms (2005) Bernoulli, 11 (5), pp. 815-828
Gelman, M.Y., Rubin, V.G., Inference from iterative simulation using multiple sequences (1992) Statistical Science, 7 (4), pp. 457-472
Kim, M.Y., De Gruttola, V.G., Lagakos, S.W., Analyzing doubly-censored data with covariates, with application to AIDS (1993) Biometrics, 49, pp. 13-22
De Gruttola, V., Lagakos, S.W., Analysis of doubly-censored survival data, with application to AIDS (1989) Biometrics, 45, pp. 1-11
Geweke, J., Bayesian Statistics 4 (1992) Evaluating the accuracy of sampling-based approaches to calculating posterior moments, pp. 169-193. , Bernado JM, Berger JO, Dawid AP, Smith AFM (eds). Clarendon Press: Oxford, U.K.
Heidelberger, P., Welch, P.D., Simulation run length control in the presence of an initial transient (1983) Operations Research, 31, pp. 1109-1144
Gómez, G., Calle, M.L., Oller, R., Frequentist and Bayesian approaches for interval-censored data (2004) Statistical Papers, 45, pp. 139-173
Volberding, R., Lagakos, S.W., Grimes, J.M., Stein, D.S., Rooney, J., A comparison of immediate with deferred zidovudine therapy for asymptomatic HIV-infected adults with CD4 cell counts of 500 or more per cubic millimeter (1995) The New England Journal of Medicine, 333 (77), pp. 401-407. , AIDS Clinical Trial Group