๐ Research Problem
Researchers face a tradeoff when applying latent variable models to time-series, cross-sectional data. Static models minimize bias but assume data are temporally independent, resulting in a loss of efficiency. Dynamic models explicitly model temporal data structures, but smooth estimates of the latent trait across time, resulting in bias when the latent trait changes rapidly.
๐งญ What This Paper Tests
A robust dynamic model is evaluated as a way to navigate the static-versus-dynamic tradeoff. The robust model is designed to minimize bias while accommodating volatile, rapid changes in the underlying latent trait.
๐งช How the Models Were Compared
- Simulation experiments comparing static models, standard dynamic models, and the proposed robust dynamic model.
- Reproduction of latent estimates from published studies of judicial ideology and democracy.
- Empirical cases examined include judicial voting data and democracy measures that capture sudden institutional shifts such as the imposition of martial law in the Philippines (1972โ1981) and the short-lived Saur Revolution in Afghanistan (1978).
๐ Key Findings
- The robust model outperforms other models when the underlying latent trait experiences rapid change, by reducing bias introduced by temporal smoothing in standard dynamic models.
- In the absence of volatility, the robust model produces estimates equivalent to the standard dynamic model, preserving efficiency.
- In the judicial ideology replication, the robust model uncovers shocks in judicial voting patterns that the standard dynamic model did not identify.
- In the democracy replication, the robust model yields more precise estimates of abrupt institutional changes (e.g., martial law in the Philippines, 1972โ1981; the Saur Revolution in Afghanistan, 1978).
๐ก Why It Matters
The robust dynamic model is a practical alternative to standard dynamic approaches when latent traits can shift quickly over time. It improves detection and estimation of abrupt political and institutional changes without sacrificing performance when traits are stable.