Skip to main page content
U.S. flag

An official website of the United States government

Dot gov

The .gov means it’s official.
Federal government websites often end in .gov or .mil. Before sharing sensitive information, make sure you’re on a federal government site.

Https

The site is secure.
The https:// ensures that you are connecting to the official website and that any information you provide is encrypted and transmitted securely.

Access keys NCBI Homepage MyNCBI Homepage Main Content Main Navigation
. 2017 Feb;17(1-2):59-85.
doi: 10.1177/1471082X16681875. Epub 2017 Feb 16.

Comparison and Contrast of Two General Functional Regression Modeling Frameworks

Affiliations

Comparison and Contrast of Two General Functional Regression Modeling Frameworks

Jeffrey S Morris. Stat Modelling. 2017 Feb.

Abstract

In this article, Greven and Scheipl describe an impressively general framework for performing functional regression that builds upon the generalized additive modeling framework. Over the past number of years, my collaborators and I have also been developing a general framework for functional regression, functional mixed models, which shares many similarities with this framework, but has many differences as well. In this discussion, I compare and contrast these two frameworks, to hopefully illuminate characteristics of each, highlighting their respecitve strengths and weaknesses, and providing recommendations regarding the settings in which each approach might be preferable.

Keywords: Bayesian modeling; Functional data analysis; Functional regression; Linear Mixed Models.

PubMed Disclaimer

References

    1. Armagan A, Dunson DB, Lee J. Generalized double pareto shrinkage. Statistica Sinica. 2013;23(1):119–143. - PMC - PubMed
    1. Bhattacharya A, Pati D, Pillai NS, Dunson DB. Dirichlet-Laplace priors for optimal shrinkage. J Am Statist Assoc. 2015;110(512):1479–1490. - PMC - PubMed
    1. Brockhaus S. FDboost: Boosting Functional Regression Models. 2016 URL http://cran.r-project.org/web/packages/FDboost. R package version 0.1–1.
    1. Brockhaus S, Melcher M, Seisch, Greven S. Boosting flexible functional regression models with a high number of functional historical effects. Statistics and Computing. 2016 doi: 10.1007/s11222-016-9662-1. - DOI
    1. Brockhaus S, Scheipl F, Hothorn T, Greven S. The functional linear array model. Statistical Modeling. 2015;15(3):279–300.

LinkOut - more resources