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From Independence to Feedback: A Staged Framework for Modeling Dependence in Longitudinal Data
Hardcover
Series: Icsa Book Statistics
ApplicationsGeneral ComputersProbability & Statistics
ISBN13: 9783032339270
Publisher: Springer
Published: Feb 5 2027
Pages: 377
Language: English
1. Pooled logistic regression (independence)
2. Clustered standard errors and generalized estimating equations (GEE) (correlation)
3. Two-stage feedback models (endogeneity)
4. Joint hierarchical models (correlation + feedback + hierarchy)
5. Bayesian joint hierarchical models (full uncertainty propagation)
6. Integrative synthesis and model comparison.
A defining feature of the book is its simulation-first pedagogy. Each modeling stage is motivated through controlled simulation studies that allow readers to observe bias, RMSE, coverage failures, and inferential distortions before introducing more advanced methods. The framework is then applied to a real longitudinal health dataset from the Philippines IFPRI Child Health and Nutrition Survey, demonstrating how modeling decisions materially affect scientific conclusions
The book's primary contributions are:
- A unified framework linking independence, correlation, feedback, hierarchy, and Bayesian inference;
- Clear treatment of endogenous covariates and dynamic feedback in binary longitudinal data;
- Practical guidance for hierarchical and Bayesian modeling, including multiple membership structures;
- Responsible AI-assisted analysis through prompt-based code generation, reproducible workflows, and verification of AI-generated results.
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