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Small Country Samples: Why Bayesian Wins Over Frequentist Multilevel Models
Insights from the Field
Multilevel Modeling
Monte Carlo Experiment
Bayesian Estimation
Cross-Level Interactions
Methodology
AJPS
2 Stata files
1 datasets
3 text files
1 other files
Dataverse
How Many Countries for Multilevel Modeling? A Comparison of Frequentist and Bayesian Approaches. was authored by Daniel Stegmueller. It was published by Wiley in AJPS in 2013.

Comparative research often uses multilevel models to study how country-level factors affect individual behaviors. However, these traditional estimation methods face challenges when data includes only a few countries.

➡️ How Few Countries Work:

A large-scale Monte Carlo experiment reveals that maximum likelihood estimates can be severely biased with limited country samples, particularly in models featuring cross-level interactions.

➡️ Bayesian Solution:

Bayesian approaches demonstrate much greater robustness and provide more conservative test results even when the number of countries is small.

➡️ The Takeaway:

Researchers should consider using Bayesian methods for multilevel analyses involving few countries to improve reliability.

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American Journal of Political Science
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