2.3 Two-Way Fixed Effects Specifications and Dynamic Panel Formulations
To evaluate the structural impacts of emissions pricing on industrial performance, this dissertation establishes a rigorous econometric framework that captures both dynamic adjustment persistence and unobserved sectoral heterogeneity across multi-country panel datasets. Following the analytical architecture of cross-country investigations into regulatory exposure, the baseline empirical strategy relies on two-way fixed effects regressions complemented by dynamic system generalised method of moments estimations (crossref-10-46647-ijetms-2025-v09i06-007). This dynamic specification directly addresses potential endogeneity, lagged dependent variables, and macroeconomic shocks while evaluating industrial performance metrics, including manufacturing value-added growth, sectoral export shares, and revealed comparative advantage across energy-intensive and trade-exposed sectors (crossref-10-46647-ijetms-2025-v09i06-007). In addition to panel fixed effects formulations, time-series cointegration approaches, including dynamic ordinary least squares, fully modified ordinary least squares, and canonical cointegrating regression, are integrated to determine long-run equilibrium relationships between carbon pricing instruments and industrial competitiveness without imposing restrictive stationarity assumptions across the underlying indicators (crossref-10-21203-rs-3-rs-1015971-v1). Furthermore, the econometric design incorporates quarterly trade flows, import volumes, and net export balances across sub-national and international jurisdictions to capture trade exposure and production displacement dynamics, reflecting established empirical methods applied to vulnerable emission-intensive sectors such as cement manufacturing (crossref-10-3138-cpp-2017-074). Diagnostic tests for serial correlation, cross-sectional dependence, and instrument validity are systematically executed to verify parameter consistency across all model variations. By synthesising dynamic panel models with robust cointegration tests, the methodological framework effectively isolates short-term output shocks from long-term technological adaptation, ensuring reliable identification of policy durability effec…