Advancing Model Selection in Generalized Functional Regression Through Multivariate Functional PCA

Abstract Number:

2307 

Submission Type:

Contributed Abstract 

Contributed Abstract Type:

Paper 

Participants:

James Merchant (1), Hyunkeun Cho (2)

Institutions:

(1) University of Iowa, Iowa City, IA, (2) N/A, N/A

Co-Author:

Hyunkeun Cho  
N/A

First Author:

James Merchant  
University of Iowa

Presenting Author:

James Merchant  
N/A

Abstract Text:

In the realm of generalized functional regression, interpreting results from multivariate functional principal component analysis (MFPCA) applied to diverse, multi-dimensional functional data can be complex. This study introduces an advanced model selection technique that leverages a forward selection approach in MFPCA Here, functional variables are incrementally integrated, with their inclusion in the model being determined by a user-selected criterion. This method is adaptable to sparse data or data plagued with measurement errors. We benchmark the effectiveness of this novel approach against existing methods. A key application of this methodology is demonstrated in a study of neonate metabolites, with the goal of understanding the relationship between longitudinal trajectories and a binary morbidity outcome. This research marks a significant step forward in refining model selection strategies within generalized functional regression frameworks using MFPCA.

Keywords:

Functional principal component analysis|Model selection|Generalized functional regression|Longitudinal data|Multivariate functional principal component analysis| Forward selection

Sponsors:

Section on Nonparametric Statistics

Tracks:

Statistical Methods for Functional Data

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