Projection-based Testing in Longitudinal Functional Regression
Event details
Date | 21.05.2021 |
Hour | 16:15 › 17:30 |
Speaker | Ana-Maria Staicu, North Carolina State University |
Location | Online |
Category | Conferences - Seminars |
We consider longitudinal functional regression, where for each subject, we observe multiple 1D profiles (curves) over different time visits. We explore the idea of “projecting” the data onto 1D directions and discuss significance tests based on ``projections” in two general settings.
First, we develop tests to assess that the mean profile is time-invariant. Second, in the presence of additional covariate, we develop hypothesis testing to assess the significance of the covariate's time-varying effect.
The tests have a non-standard null distribution that is easy to simulate from. Numerical studies confirm that the testing approaches have the correct size in finite samples and have a superior power relative to available competitors. The methods are illustrated on a data application.
Practical information
- Informed public
- Free
Organizer
- Sofia Olhede
Contact
- Maroussia Schaffner