Performing hypothesis tests on the shape of functional data

@article{James2006PerformingHT,
  title={Performing hypothesis tests on the shape of functional data},
  author={Gareth M. James and Ashish Sood},
  journal={Computational Statistics & Data Analysis},
  year={2006},
  volume={50},
  pages={1774-1792}
}
We explore different approaches for performing hypothesis tests on the shape of a mean function by developing general methodologies both for the, often assumed, iid error structure case as well as for the more general case where the error terms have an arbitrary covariance structure. The procedures work by testing for patterns in the residuals after estimating the mean function and are extremely computationally fast. In the iid case we fit a smooth function to the observed residuals and then… CONTINUE READING