Projection-based Testing in Longitudinal Functional Regression

This lecture by Ana-Maria Staicu on Projection-based Testing in Longitudinal Functional Regression covers the framework for longitudinal functional data analysis, testing for time-varying mean and covariate effects, and the selection of optimal projections. The lecture also delves into dependent functional data analysis, simulation studies, and the theoretical properties of the proposed basis. Various testing approaches and their performance are discussed, along with the estimation of data-driven ortho basis and the implications of the proposed methods. The lecture concludes with a discussion on the power and efficiency of the testing methods.