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- Title
Detection of Interaction Effects in a Nonparametric Concurrent Regression Model.
- Authors
Pan, Rui; Wang, Zhanfeng; Wu, Yaohua
- Abstract
Many methods have been developed to study nonparametric function-on-function regression models. Nevertheless, there is a lack of model selection approach to the regression function as a functional function with functional covariate inputs. To study interaction effects among these functional covariates, in this article, we first construct a tensor product space of reproducing kernel Hilbert spaces and build an analysis of variance (ANOVA) decomposition of the tensor product space. We then use a model selection method with the L 1 criterion to estimate the functional function with functional covariate inputs and detect interaction effects among the functional covariates. The proposed method is evaluated using simulations and stroke rehabilitation data.
- Subjects
REGRESSION analysis; TENSOR products; HILBERT space; STROKE rehabilitation; ANALYSIS of variance
- Publication
Entropy, 2023, Vol 25, Issue 9, p1327
- ISSN
1099-4300
- Publication type
Article
- DOI
10.3390/e25091327