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Bayesian latent factor regression for functional and longitudinal data.

Publication ,  Journal Article
Montagna, S; Tokdar, ST; Neelon, B; Dunson, DB
Published in: Biometrics
December 2012

In studies involving functional data, it is commonly of interest to model the impact of predictors on the distribution of the curves, allowing flexible effects on not only the mean curve but also the distribution about the mean. Characterizing the curve for each subject as a linear combination of a high-dimensional set of potential basis functions, we place a sparse latent factor regression model on the basis coefficients. We induce basis selection by choosing a shrinkage prior that allows many of the loadings to be close to zero. The number of latent factors is treated as unknown through a highly-efficient, adaptive-blocked Gibbs sampler. Predictors are included on the latent variables level, while allowing different predictors to impact different latent factors. This model induces a framework for functional response regression in which the distribution of the curves is allowed to change flexibly with predictors. The performance is assessed through simulation studies and the methods are applied to data on blood pressure trajectories during pregnancy.

Duke Scholars

Published In

Biometrics

DOI

EISSN

1541-0420

ISSN

0006-341X

Publication Date

December 2012

Volume

68

Issue

4

Start / End Page

1064 / 1073

Related Subject Headings

  • Statistics & Probability
  • Regression Analysis
  • Models, Statistical
  • Longitudinal Studies
  • Epidemiologic Methods
  • Data Interpretation, Statistical
  • Computer Simulation
  • Biometry
  • Bayes Theorem
  • Algorithms
 

Citation

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Montagna, S., Tokdar, S. T., Neelon, B., & Dunson, D. B. (2012). Bayesian latent factor regression for functional and longitudinal data. Biometrics, 68(4), 1064–1073. https://doi.org/10.1111/j.1541-0420.2012.01788.x
Montagna, Silvia, Surya T. Tokdar, Brian Neelon, and David B. Dunson. “Bayesian latent factor regression for functional and longitudinal data.Biometrics 68, no. 4 (December 2012): 1064–73. https://doi.org/10.1111/j.1541-0420.2012.01788.x.
Montagna S, Tokdar ST, Neelon B, Dunson DB. Bayesian latent factor regression for functional and longitudinal data. Biometrics. 2012 Dec;68(4):1064–73.
Montagna, Silvia, et al. “Bayesian latent factor regression for functional and longitudinal data.Biometrics, vol. 68, no. 4, Dec. 2012, pp. 1064–73. Epmc, doi:10.1111/j.1541-0420.2012.01788.x.
Montagna S, Tokdar ST, Neelon B, Dunson DB. Bayesian latent factor regression for functional and longitudinal data. Biometrics. 2012 Dec;68(4):1064–1073.
Journal cover image

Published In

Biometrics

DOI

EISSN

1541-0420

ISSN

0006-341X

Publication Date

December 2012

Volume

68

Issue

4

Start / End Page

1064 / 1073

Related Subject Headings

  • Statistics & Probability
  • Regression Analysis
  • Models, Statistical
  • Longitudinal Studies
  • Epidemiologic Methods
  • Data Interpretation, Statistical
  • Computer Simulation
  • Biometry
  • Bayes Theorem
  • Algorithms