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2015 ; 7
(1
): 90-107
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Semiparametric Bayes local additive models for longitudinal data
#MMPMID26085848
Hua Z
; Zhu H
; Dunson DB
Stat Biosci
2015[May]; 7
(1
): 90-107
PMID26085848
show ga
In longitudinal data analysis, there is great interest in assessing the impact of
predictors on the time-varying trajectory in a response variable. In such
settings, an important issue is to account for heterogeneity in the shape of the
trajectory among subjects, while allowing the impact of the predictors to vary
across subjects. We propose a flexible semiparametric Bayes approach for
addressing this issue relying on a local partition process prior, which allows
flexible local borrowing of information across subjects. Local hypothesis testing
and credible bands are developed for the identification of time windows across
which a predictor has a significant impact, while adjusting for multiple
comparisons. Posterior computation proceeds via an efficient MCMC algorithm using
the exact block Gibbs sampler. The methods are assessed using simulation studies
and applied to a yeast cell-cycle gene expression data set.