Bayesian analysis of Box-Cox transformation model for multi-state progression-free survival data

In this study, we address the inference problem associated with the Box-Cox transformation model when dealing with multi-state progression-free survival data. It is well-established that multi-state censoring data is frequently encountered in various medical scenarios, encompassing aspects such as p...

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Bibliographic Details
Published in:Journal of the Korean Statistical Society Vol. 54; no. 1; pp. 194 - 219
Main Authors: Wang, Chunjie, Qi, Shunxin, Jiang, Jingjing
Format: Journal Article
Language:English
Published: Singapore Springer Nature Singapore 01.03.2025
Springer Nature B.V
한국통계학회
Subjects:
Applied Statistics
Bayesian Inference
Mathematics and Statistics
Research Article
Statistical Theory and Methods
Statistics
Statistics and Computing/Statistics Programs
통계학
BOX-COX transformation model
Bayesian sampling
Lung cancer data
Multi-state model
ISSN:1226-3192, 2005-2863
Online Access:Get full text
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Summary:In this study, we address the inference problem associated with the Box-Cox transformation model when dealing with multi-state progression-free survival data. It is well-established that multi-state censoring data is frequently encountered in various medical scenarios, encompassing aspects such as progression times and mortality during multivariate events. Many existing methodologies for regression analysis are extended and developed under the assumption of a non-informative censoring mechanism. We employ a comprehensive class of semiparametric transformation models that encompass both proportional hazards and additional hazards models, specifically tailored to handle multi-state data where a relationship exists between different states. Our approach adopts Bayesian estimation for inference, utilizing a piecewise function to approximate the baseline hazard function. Furthermore, we develop a Bayesian framework with the Markov Chain Monte Carlo algorithm to estimate the unknown parameters and incorporate nonparametric procedures. To validate the effectiveness of our proposed methodology, we conduct simulations. And by incorporating frailty terms into the joint model, we propose the model in simulation 2 for comparison. Additionally, we apply our approach to analyze a dataset concerning Lung cancer cases.
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ISSN:1226-3192
2005-2863
DOI:10.1007/s42952-024-00288-x