A Bayesian proportional hazards mixture cure model for interval-censored data.

Data augmentation I-splines Interval-censored data Mixture cure model

Journal

Lifetime data analysis
ISSN: 1572-9249
Titre abrégé: Lifetime Data Anal
Pays: United States
ID NLM: 9516348

Informations de publication

Date de publication:
Apr 2024
Historique:
received: 01 02 2023
accepted: 12 10 2023
pubmed: 28 11 2023
medline: 28 11 2023
entrez: 28 11 2023
Statut: ppublish

Résumé

The proportional hazards mixture cure model is a popular analysis method for survival data where a subgroup of patients are cured. When the data are interval-censored, the estimation of this model is challenging due to its complex data structure. In this article, we propose a computationally efficient semiparametric Bayesian approach, facilitated by spline approximation and Poisson data augmentation, for model estimation and inference with interval-censored data and a cure rate. The spline approximation and Poisson data augmentation greatly simplify the MCMC algorithm and enhance the convergence of the MCMC chains. The empirical properties of the proposed method are examined through extensive simulation studies and also compared with the R package "GORCure". The use of the proposed method is illustrated through analyzing a data set from the Aerobics Center Longitudinal Study.

Identifiants

pubmed: 38015378
doi: 10.1007/s10985-023-09613-8
pii: 10.1007/s10985-023-09613-8
doi:

Types de publication

Journal Article

Langues

eng

Sous-ensembles de citation

IM

Pagination

327-344

Informations de copyright

© 2023. The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.

Références

Berkson J, Gage RP (1952) Survival curve for cancer patients following treatment. J Am Stat Assoc 47:501–515
doi: 10.1080/01621459.1952.10501187
Blair SN, Kampert JB, Kohl HW, Barlow CE, Macera CA, Paffenbarger RS, Gibbons LW (1996) Influences of cardiorespiratory fitness and other precursors on cardiovascular disease and all-cause mortality in men and women. JAMA 276:205–210
doi: 10.1001/jama.1996.03540030039029 pubmed: 8667564
Boag JW (1949) Maximum likelihood estimates of the proportion of patients cured by cancer therapy. J R Stat Soc Ser B 11:15–53
Cai B, Lin X, Wang L (2011) Bayesian proportional hazards model for current status data with monotone splines. Comput Stat Data Anal 55:2644–2651
doi: 10.1016/j.csda.2011.03.013
Chen M-H, Ibrahim J, Sinha D (1999) A new Bayesian model for survival data with a surviving fraction. J Am Stat Assoc 94:909–919
doi: 10.1080/01621459.1999.10474196
Cox DR (1972) Regression models and life-tables (with discussion). J R Stat Soc Ser B 34:187–220
Dey DK, Chen M, Chang H (1997) Bayesian approach for nonlinear random effects models. Biometrics 53:1239–1252
doi: 10.2307/2533493
Farewell VT (1982) The use of mixture models for the analysis of survival data with long-term survivors. Biometrics 38:1041–1046
doi: 10.2307/2529885 pubmed: 7168793
Geisser S, Eddy WF (1979) A predictive approach to model selection. J Am Stat Assoc 74:153–160
doi: 10.1080/01621459.1979.10481632
Gelfand AE (1992) Model determination using predictive distributions with implementation via sampling-based methods (with discussion). In: Bernardo JM, Berger JO, Dawid AP, Smith AFM (eds) Bayesian statistics 4. Oxford University Press, Oxford, pp 147–167
doi: 10.1093/oso/9780198522669.003.0009
Gilks WR, Best NG, Tan KKC (1995) Adaptive rejection Metropolis sampling within Gibbs sampling. Appl Stat 44:455–472
doi: 10.2307/2986138
Hastings WK (1970) Monte Carlo sampling methods using Markov chains and their applications. Biometrika 57:97–109
doi: 10.1093/biomet/57.1.97
Ibrahim J, Chen M-H, Sinha D (2001) Bayesian semiparametric models for survival data with a cure fraction. Biometrics 57:383–388
doi: 10.1111/j.0006-341X.2001.00383.x pubmed: 11414560
Kass RE, Raftery AE (1995) Bayes factors. J Am Stat Assoc 90:773–795
doi: 10.1080/01621459.1995.10476572
Kuk A, Chen C-H (1992) A mixture model combining logistic regression with proportional hazards regression. Biometrika 79:531–541
doi: 10.1093/biomet/79.3.531
Lee DC, Sui X, Church TS, Lavie CJ, Jackson AS, Blair SN (2012) Changes in fitness and fatness on the development of cardiovascular disease risk factors: hypertension, metabolic syndrome, and hypercholesterolemia. J Am Coll Cardiol 59:665–672
doi: 10.1016/j.jacc.2011.11.013 pubmed: 22322083 pmcid: 3293498
Louis A (1982) Finding the observed information matrix when using the EM algorithm. J R Stat Soc Ser B Stat Methodol 44:226–233
McMahan CS, Wang L, Tebbs JM (2013) Regression analysis for current status data using the EM algorithm. Stat Med 32:4452–4466
doi: 10.1002/sim.5863 pubmed: 23761135
Pan C, Cai B (2020) A Bayesian model for spatial partly interval-censored data. Commun Stat Simul Comput 51:7513–7525
doi: 10.1080/03610918.2020.1839497 pubmed: 36855756 pmcid: 9970291
Pan C, Cai B, Wang L, Lin X (2013) Bayesian semiparametric model for spatially correlated interval-censored survival data. Comput Stat Data Anal 74:198–208
doi: 10.1016/j.csda.2013.11.016
Pan C, Cai B, Wang L (2015) Multiple frailty model for clustered interval-censored data with frailty selection. Stat Meth Med Res 26:1308–1322
doi: 10.1177/0962280215576987
Pan C, Cai B, Wang L (2020) A Bayesian approach for analyzing partly interval-censored data under the proportional hazards model. Stat Methods Med Res 29:3192–3204
doi: 10.1177/0962280220921552 pubmed: 32441211 pmcid: 7592883
Peng Y, Dear K (2000) A nonparametric mixture model for cure rate estimation. Biometrics 56:237–243
doi: 10.1111/j.0006-341X.2000.00237.x pubmed: 10783801
Peng Y, Taylor J (2011) Mixture cure model with random effects for the analysis of a multi-center tonsil cancer study. Statist Med 30:211–223
doi: 10.1002/sim.4098
Ramsay JO (1988) Monotone regression splines in action. Stat Sci 3:425–441
Sy J, Taylor J (2000) Estimation in a Cox proportional hazards cure model. Biometrics 56:227–236
doi: 10.1111/j.0006-341X.2000.00227.x pubmed: 10783800
Therneau TM, Lumley T, Atkinson E, Crowson C (2021) survival: Survival analysis. https://cran.r-project.org/package=survival . R package version 3.2-13
Tsodikov A (1998) A proportional hazards model taking account of long-term survivors. Biometrics 54:1508–1516
doi: 10.2307/2533675 pubmed: 9883549
Wang X, Wang Z (2021) EM algorithm for the additive risk mixture cure model with interval-censored data. Lifetime Data Anal 27:91–130
doi: 10.1007/s10985-020-09507-z pubmed: 33001344
Wang L, McMahan CS, Hudgens MG, Qureshi ZP (2016) A flexible, computationally efficient method for fitting the proportional hazards model to interval-censored data. Biometrics 72:222–231
doi: 10.1111/biom.12389 pubmed: 26393917
Xiang L, Ma X, Yau KW (2010) Mixture cure model with random effects for clustered interval-censored survival data. Stat Med 30:995–1006
doi: 10.1002/sim.4170
Xu L, Zhang J (2010) Multiple imputation method for the semiparametric accelerated failure time mixture cure model. Comput Stat Data Anal 54:1808–1816
doi: 10.1016/j.csda.2010.01.034
Xu Y, Zhao S, Hu T, Sun J (2021) Variable selection for generalized odds rate mixture cure models with interval-censored failure time data. Comput Stat Data Anal 156:107–115
doi: 10.1016/j.csda.2020.107115
Yakovlev A, Tsodikov A (1996) Stochastic models of tumor latency and their biostatistical applications. World Scientific, Singapore
doi: 10.1142/2420
Yin G, Ibrahim J (2005) A general class of Bayesian survival models with zero and nonzero cure fractions. Biometrics 61:403–412
doi: 10.1111/j.1541-0420.2005.00329.x pubmed: 16011686
Yin G, Ibrahim J (2005) Cure rate models: a unified approach. Can J Stat 33:559–570
doi: 10.1002/cjs.5550330407
Zeng D, Cai J, Shen Y (2006) Semiparametric additive risks model for interval-censored data. Stat Sin 16:287–302
Zeng D, Mao L, Lin DY (2016) Maximum likelihood estimation for semiparametric transformation models with interval-censored data. Biometrika 103:253–271
doi: 10.1093/biomet/asw013 pubmed: 27279656
Zhang J, Peng Y (2007) A new estimation method for the semiparametric accelerated failure time mixture cure model. Statist Med 26:3157–3171
doi: 10.1002/sim.2748
Zhou J, Zhang J, Lu W (2017) GORCure: Fit generalized odds rate mixture cure model with interval censored data. https://cran.r-project.org/package=GORCure . R package version 2.0
Zhou J, Zhang J, Lu W (2018) Computationally efficient estimation for the generalized odds rate mixture cure model with interval-censored data. J Comput Graph Stat 27:48–58
doi: 10.1080/10618600.2017.1349665 pubmed: 29861617 pmcid: 5978779
Zhou J, Zhang J, McLain AC, Cai B (2016) A multiple imputation approach for semiparametric cure model with interval censored data. Comput Stat Data Anal 99:105–114
doi: 10.1016/j.csda.2016.01.013

Auteurs

Chun Pan (C)

Department of Mathematics and Statistics, Hunter College, New York, NY, 10065, USA. chunpan2003@hotmail.com.

Bo Cai (B)

Department of Epidemiology and Biostatistics, University of South Carolina, Columbia, SC, 29208, USA.

Xuemei Sui (X)

Department of Epidemiology and Biostatistics, University of South Carolina, Columbia, SC, 29208, USA.

Classifications MeSH