Smoothing Spline Growth Curves With Covariates

@article{Riedel2015SmoothingSG,
  title={Smoothing Spline Growth Curves With Covariates},
  author={Kurt S. Riedel and Kaya Imre},
  journal={arXiv: Methodology},
  year={2015}
}
We adapt the interactive spline model of Wahba to growth curves with covariates. The smoothing spline formulation permits a non-parametric representation of the growth curves. In the limit when the discretization error is small relative to the estimation error, the resulting growth curve estimates often depend only weakly on the number and locations of the knots. The smoothness parameter is determined from the data by minimizing an empirical estimate of the expected error. We show that the risk… 

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