Related Experiment Video
Updated: Jun 9, 2026

Using Cholesky Decomposition to Explore Individual Differences in Longitudinal Relations between Reading Skills
Published on: September 17, 2019
A conditional approach for inference in multivariate age-period-cohort models.
Leonhard Held1, Andrea Riebler
1Biostatistics Unit, Institute of Social and Preventive Medicine, University of Zurich, Hirschengraben 84, 8001 Zurich, Switzerland. held@ifspm.uzh.ch
This study introduces a new conditional approach for analyzing disease trends across different groups, improving precision and handling unmeasured confounding in age-period-cohort (APC) modeling. The method enhances the estimation of relative time trends for public health research.
Area of Science:
- Epidemiology
- Biostatistics
- Public Health
Background:
- Age-period-cohort (APC) models analyze disease data by age and time.
- Multivariate APC (MAPC) models extend this to analyze heterogeneous trends across strata (e.g., geography).
- Existing MAPC models share parameters (e.g., age effects) while allowing others to vary by stratum.
Purpose of the Study:
- To propose a conditional approach for direct modeling of relative time trends.
- To demonstrate the conditional approach's ability to handle unmeasured confounding for more precise relative risk estimation.
- To extend the methodology for data with multiple stratification levels.
Main Methods:
- Development of a conditional inference approach for relative time trends.
- Application of maximum likelihood estimation using multinomial logistic regression software.
- Suggestion of smoothing splines for stabilizing relative time trend estimates.
- Validation using chronic obstructive pulmonary disease mortality data in England & Wales, stratified by area and gender.
Main Results:
- The conditional approach allows direct modeling of relative time trends.
- Potential for improved precision in relative risk estimation due to handling of unmeasured confounding.
- Successful application to complex, multi-stratified disease mortality data.
Conclusions:
- The proposed conditional approach offers a valuable alternative for analyzing stratified epidemiological data.
- This method enhances the understanding of disease trends across different population subgroups.
- The approach is robust and applicable to real-world public health challenges.
Related Concept Videos
Assumptions of Survival Analysis
Mechanistic Models: Compartment Models in Individual and Population Analysis
Parametric Survival Analysis: Weibull and Exponential Methods
Weibull Distribution
The Weibull distribution is a flexible model used in parametric survival analysis. It can handle both increasing and decreasing hazard rates, depending on its shape parameter...
Statistical Methods for Analyzing Epidemiological Data
Longitudinal Studies
Multicompartment Models: Overview
These models offer a more comprehensive representation of drug behavior in the body than one-compartment models. They accommodate the complexity of drug distribution,...
