Analysis of cure rate survival data under proportional odds model

Due to significant progress in cancer treatments and management in survival studies involving time to relapse (or death), we often need survival models with cured fraction to account for the subjects enjoying prolonged survival. Our article presents a new proportional odds survival models with a cured fraction using a special hierarchical structure of the latent factors activating cure. This new model has same important differences with classical proportional odds survival models and existing cure-rate survival models. We demonstrate the implementation of Bayesian data analysis using our model with data from the SEER (Surveillance Epidemiology and End Results) database of the National Cancer Institute. Particularly aimed at survival data with cured fraction, we present a novel Bayes method for model comparisons and assessments, and demonstrate our new tool’s superior performance and advantages over competing tools.

[1]  M. Osborne,et al.  Market Making and Reversal on the Stock Exchange , 1966 .

[2]  J. Ibrahim,et al.  Bayesian Inference for Multivariate Survival Data with a Cure Fraction , 2002 .

[3]  Joseph G. Ibrahim,et al.  Criterion-based methods for Bayesian model assessment , 2001 .

[4]  J. V. Ryzin,et al.  Nonparametric Bayesian Estimation of Survival Curves from Incomplete Observations , 1976 .

[5]  Chap T. Le,et al.  Applied Survival Analysis , 1998 .

[6]  Joseph G. Ibrahim,et al.  Bayesian Survival Analysis , 2004 .

[7]  M Zaider,et al.  Distribution of the number of clonogens surviving fractionated radiotherapy: a long-standing problem revisited , 2001, International journal of radiation biology.

[8]  Bradley P Carlin,et al.  Flexible Cure Rate Modeling Under Latent Activation Schemes , 2007, Journal of the American Statistical Association.

[9]  B. Carlin,et al.  Frailty modeling for spatially correlated survival data, with application to infant mortality in Minnesota. , 2003, Biostatistics.

[10]  J G Ibrahim,et al.  The Large Sample Distribution of the Weighted Log Rank Statistic Under General Local Alternatives , 1997, Lifetime data analysis.

[11]  Alan E. Gelfand,et al.  Model choice: A minimum posterior predictive loss approach , 1998, AISTATS.

[12]  D. Cox,et al.  Analysis of Survival Data. , 1986 .

[13]  J B Greenhouse,et al.  Assessing Placebo Response Using Bayesian Hierarchical Survival Models , 1998, Lifetime data analysis.

[14]  Joseph G. Ibrahim,et al.  A New Bayesian Model For Survival Data With a Surviving Fraction , 1999 .

[15]  A Yu Yakovlev,et al.  Stochastic Models of Tumor Latency and Their Biostatistical Applications , 1996 .

[16]  J G Ibrahim,et al.  Estimating Cure Rates From Survival Data , 2003, Journal of the American Statistical Association.

[17]  Joseph Berkson,et al.  Survival Curve for Cancer Patients Following Treatment , 1952 .

[18]  D. Collett Modelling survival data , 1994 .

[19]  A A Tsiatis,et al.  A linear rank test for use when the main interest is in differences in cure rates. , 1989, Biometrics.

[20]  Jonathan J. Shuster,et al.  Parametric versus non-parametric methods for estimating cure rates based on censored survival data , 1992 .

[21]  W. D. Ray 4. Modelling Survival Data in Medical Research , 1995 .

[22]  Louise Ryan,et al.  Modeling Spatial Survival Data Using Semiparametric Frailty Models , 2002, Biometrics.

[23]  J. P. Sy,et al.  Estimation in a Cox Proportional Hazards Cure Model , 2000, Biometrics.

[24]  S. Tucker,et al.  Improved models of tumour cure. , 1996, International journal of radiation biology.

[25]  David Collett Modelling Survival Data in Medical Research , 1994 .

[26]  R. Maller,et al.  Survival Analysis with Long-Term Survivors , 1996 .

[27]  J G Ibrahim,et al.  Bayesian Semiparametric Models for Survival Data with a Cure Fraction , 2001, Biometrics.

[28]  Chin-Shang Li,et al.  A semi‐parametric accelerated failure time cure model , 2002, Statistics in medicine.

[29]  J J Shuster,et al.  Parametric versus non-parametric methods for estimating cure rates based on censored survival data. , 1992, Statistics in medicine.

[30]  Joseph G. Ibrahim,et al.  Semiparametric Transformation Models for Survival Data With a Cure Fraction , 2006 .

[31]  V. Farewell,et al.  The use of mixture models for the analysis of survival data with long-term survivors. , 1982, Biometrics.

[32]  S. Bennett,et al.  Analysis of survival data by the proportional odds model. , 1983, Statistics in medicine.

[33]  Vernon T. Farewell,et al.  Mixture models in survival analysis: Are they worth the risk? , 1986 .