Functional Response Models

Abstract

We review functional regression models and discuss in more detail the situation where the predictor is a vector or scalar, such as a dose, and the response is a random trajectory. These models incorporate the influence of the predictor either through the mean response function, through the random components of a Karhunen-Loève or functional principal components expansion, or by means of a combination of both. In a case study, we analyze dose-response data with functional responses from an experiment on the age-specific reproduction of medflies. Daily egg-laying was recorded for a sample of 874 medflies in response to dietary dose provided to the flies. We compare several functional response models for these data. A useful criterion to evaluate models is a model’s ability to predict the response at a new dose. We quantify this notion by means of a conditional prediction error that is obtained through a leave-one-dose-out technique.

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Cite this paper

@inproceedings{Chiou2003FunctionalRM, title={Functional Response Models}, author={Jeng-Min Chiou and Hans-Georg M{\"{u}ller and Jane-ling Wang}, year={2003} }