We develop a novel approach based on the generalised canonical correlation (GCC) analysis to consistently estimating the multilevel factor model and providing the proper inference theory for the high dimensional panel data. Importantly, our approach is shown to be robust to a non-zero...

This paper considers a multi-dimensional panel data model with multilevel factors when the numbers of cross-sections and time observations are large. We develop a multilevel iterative principal component (MIPC) method for estimation by iteratively updating between the slope coefficients and...