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Joint modelling of longitudinal measurements and event time data
R Henderson1, P Diggle, A Dobson
1Medical Statistics Unit, Lancaster University, LA1 4YF, UK. robin.henderson@lancaster.ac.uk
Biostatistics (Oxford, England)
|August 23, 2003
Summary
This study introduces a new statistical model for analyzing longitudinal data and event times together. The model enhances understanding of patient outcomes in clinical trials, such as schizophrenia treatment.
Area of Science:
- Biostatistics
- Clinical Trials
- Longitudinal Data Analysis
Background:
- Analyzing longitudinal measurements and event times requires sophisticated statistical models.
- Existing models may not fully capture the complex interplay between repeated measures and event occurrences.
Purpose of the Study:
- To formulate a flexible class of models for the joint behavior of longitudinal measurements and event times.
- To extend and unify existing statistical approaches for correlated data.
- To provide an estimation procedure for linked longitudinal and event time data.
Main Methods:
- Development of a joint modeling framework for longitudinal and survival data.
- Incorporation of a latent stochastic process to link the two data types.
- Application of a semi-parametric proportional hazards model with frailty for event times.
- Utilizing a normal linear model with correlated errors for longitudinal measurements.
Main Results:
- The proposed model class encompasses and generalizes several recent specific models.
- In the absence of association, the model reduces to established separate models for longitudinal and event data.
- An estimation procedure is described, linking longitudinal and event components via a latent process.
Conclusions:
- The formulated model class offers a unified approach to joint analysis of longitudinal and event time data.
- The methods are applicable to various settings, including clinical trial data.
- The latent process provides a mechanism for modeling complex associations between measurements and events.