Optimal Testing in a Fixed-Effects Functional Analysis of Variance Model

@article{Abramovich2004OptimalTI,
  title={Optimal Testing in a Fixed-Effects Functional Analysis of Variance Model},
  author={Felix Abramovich and Anestis Antoniadis and Theofanis Sapatinas and Brani Vidakovic},
  journal={IJWMIP},
  year={2004},
  volume={2},
  pages={323-349}
}
We consider the testing problem in a fixed-effects functional analysis of variance model. We test the null hypotheses that the functional main effects and the functional interactions are zeros against the composite nonparametric alternative hypotheses that they are separated away from zero in L2-norm and also possess some smoothness properties. We adapt the optimal (minimax) hypothesis testing procedures for testing a zero signal in a Gaussian “signal plus noise” model to derive optimal… CONTINUE READING