Abstract

Bayesian MLIRT-based joint models for multivariate longitudinal and survival data with multiple features

Highlights

  • Data collected in many clinical studies can be grouped into three types: (i) longitudinal measurements of time-dependent biomarkers such as serum bilirubin (SB), serum albumin (SA), hepatomegaly (HM) and histologic stage (HS) data in primary biliary cirrhosis (PBC) clinical study [41]; (ii) event or censored times of interest; and (iii) information on some covariates that may affect the processes of both time-dependent longitudinal exposures and time-to-event

  • We examine the effect of multiple longitudinal exposures on the prognosis for patients with primary biliary cirrhosis (PBC) using data collected by the Mayo Clinic from 1974 to 1984 [18,41]

  • With more studies being conducted that repeatedly take measures over time in an effort to evaluate a patient’s health status for some events, an Multilevel item response theory (MLIRT)-based multivariate joint models (MJM) approach is powerful tool to fit these com- plicated longitudinal-survival models with a variety of data issues ranging from evaluating non-normality, correlated multivariate longitudinal measures and others, along with uncertainty about the distributional assumptions of model errors in clinical and observational studies

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Summary

Introduction

Data collected in many clinical studies can be grouped into three types: (i) longitudinal (repeated) measurements of time-dependent biomarkers such as serum bilirubin (SB), serum albumin (SA), hepatomegaly (HM) and histologic stage (HS) data in primary biliary cirrhosis (PBC) clinical study [41]; (ii) event or censored times of interest; and (iii) information on some covariates that may affect the processes of both time-dependent longitudinal exposures and time-to-event. In the second level structural multilevel model, the latent disease severity θij is regressed on covariates of interest, visit time, and random-effects.

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