Function-on-scalar regression captures time-varying effects of physical activity interventions on daily trajectories better than FPCA followed by scalar regression, as shown in the STEP UP study.
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A computationally efficient three-step marginal method for longitudinal function-on-function regression that fits pointwise scalar-on-function models, smooths along the bivariate domain, and derives confidence bands to enable valid inference on large functional datasets.
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Quantifying Time-Varying Physical Activity Intervention Effects via Functional Regression
Function-on-scalar regression captures time-varying effects of physical activity interventions on daily trajectories better than FPCA followed by scalar regression, as shown in the STEP UP study.
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Efficient Longitudinal Function-on-Function Regression
A computationally efficient three-step marginal method for longitudinal function-on-function regression that fits pointwise scalar-on-function models, smooths along the bivariate domain, and derives confidence bands to enable valid inference on large functional datasets.