Bayesian variable selection and shrinkage strategies in a complicated modelling setting with missing data: A case study using multistate models

Multistate modelling is a strategy for jointly modelling related time-to-event outcomes that can handle complicated outcome relationships, has appealing interpretations, can provide insight into di...

[1]  H. Zou,et al.  Regularization and variable selection via the elastic net , 2005 .

[2]  Alessio Farcomeni,et al.  Bayesian constrained variable selection , 2007 .

[3]  James R Carpenter,et al.  Multiple imputation of covariates by fully conditional specification: Accommodating the substantive model , 2012, Statistical methods in medical research.

[4]  Adrian E. Raftery,et al.  Bayesian model averaging: a tutorial (with comments by M. Clyde, David Draper and E. I. George, and a rejoinder by the authors , 1999 .

[5]  D. Hastie,et al.  Model choice using reversible jump Markov chain Monte Carlo , 2012 .

[6]  Roderick J. A. Little,et al.  Statistical Analysis with Missing Data: Little/Statistical Analysis with Missing Data , 2002 .

[7]  Petros Dellaportas,et al.  On Bayesian model and variable selection using MCMC , 2002, Stat. Comput..

[8]  Jim E. Griffin,et al.  Adaptive Monte Carlo for Bayesian Variable Selection in Regression Models , 2013 .

[9]  Stephen Y Lai,et al.  Head and neck cancer , 2008, Cancer.

[10]  Jeremy M G Taylor,et al.  Cigarette use, comorbidities, and prognosis in a prospective head and neck squamous cell carcinoma population , 2016, Head & neck.

[11]  N. Keiding,et al.  Multi-state models for event history analysis , 2002, Statistical methods in medical research.

[12]  D J Sargent,et al.  Multi‐state models for colon cancer recurrence and death with a cured fraction , 2014, Statistics in medicine.

[13]  R. O’Hara,et al.  A review of Bayesian variable selection methods: what, how and which , 2009 .

[14]  Gerhard Tutz,et al.  Variable selection for discrete competing risks models , 2016 .

[15]  E. George,et al.  APPROACHES FOR BAYESIAN VARIABLE SELECTION , 1997 .

[16]  J M Taylor,et al.  Semi-parametric estimation in failure time mixture models. , 1995, Biometrics.

[17]  Lauren J. Beesley,et al.  Multiple imputation of missing covariates for the Cox proportional hazards cure model , 2016, Statistics in medicine.

[18]  C Arias,et al.  Follow-up study in head and neck cancer: cure rate according to tumor location and stage. , 1997, Oncology.

[19]  Adetayo Kasim,et al.  Dose–Response Modeling Under Simple Order Restrictions Using Bayesian Variable Selection Methods , 2014 .

[20]  E. George,et al.  Journal of the American Statistical Association is currently published by American Statistical Association. , 2007 .

[21]  P J Newcombe,et al.  Weibull regression with Bayesian variable selection to identify prognostic tumour markers of breast cancer survival , 2017, Statistical methods in medical research.

[22]  James G. Scott,et al.  The horseshoe estimator for sparse signals , 2010 .

[23]  Jeremy M G Taylor,et al.  EM algorithms for fitting multistate cure models. , 2019, Biostatistics.

[24]  Matthew D. Koslovsky,et al.  Bayesian variable selection for multistate Markov models with interval‐censored data in an ecological momentary assessment study of smoking cessation , 2018, Biometrics.

[25]  Lauren J. Beesley,et al.  Individual and Population Comparisons of Surgery and Radiotherapy Outcomes in Prostate Cancer Using Bayesian Multistate Models , 2019, JAMA network open.

[26]  P. Green Reversible jump Markov chain Monte Carlo computation and Bayesian model determination , 1995 .

[27]  G. Wolf,et al.  Interleukin‐6 predicts recurrence and survival among head and neck cancer patients , 2008, Cancer.