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How Many Groups? Adaptive Selection in Panel Data under Model Uncertainty

  • Zhonghui Zhang

摘要

Latent group structures are central to panel data econometrics, yet the true number of groups is rarely known. This paper systematically evaluates 16 estimators—spanning clustering heuristics, simulation-based techniques, exact inference, and spectral methods—under realistic conditions of model misspecification. Across diverse data-generating processes (including dynamic trends, weak factors, and spatial spillovers), the analysis reveals that while spectral estimators excel under strong factor structures, clustering and simulation-based approaches offer superior robustness to weak signals and non-standard dependencies. To address this methodological uncertainty, I propose a data-driven adaptive selection strategy that aggregates multi-criteria evidence to reliably identify the optimal group count. Finally, to facilitate empirical practice, I provide a unified R toolkit and demonstrate the adaptive selector’s value as a robust pre-estimation diagnostic tool by revisiting the macroeconomic democracy–income nexus.