Title | Bayesian lasso for semiparametric structural equation models. |
Publication Type | Journal Article |
Year of Publication | 2012 |
Authors | Guo, Ruixin, Hongtu Zhu, Sy-Miin Chow, and Joseph G. Ibrahim |
Journal | Biometrics |
Volume | 68 |
Issue | 2 |
Pagination | 567-77 |
Date Published | 2012 Jun |
ISSN | 1541-0420 |
Keywords | Affect, Algorithms, Bayes Theorem, Biometry, Computer Simulation, Humans, Individuality, Markov Chains, Models, Statistical, Monte Carlo Method, Nonlinear Dynamics, Statistics, Nonparametric |
Abstract | There has been great interest in developing nonlinear structural equation models and associated statistical inference procedures, including estimation and model selection methods. In this paper a general semiparametric structural equation model (SSEM) is developed in which the structural equation is composed of nonparametric functions of exogenous latent variables and fixed covariates on a set of latent endogenous variables. A basis representation is used to approximate these nonparametric functions in the structural equation and the Bayesian Lasso method coupled with a Markov Chain Monte Carlo (MCMC) algorithm is used for simultaneous estimation and model selection. The proposed method is illustrated using a simulation study and data from the Affective Dynamics and Individual Differences (ADID) study. Results demonstrate that our method can accurately estimate the unknown parameters and correctly identify the true underlying model. |
DOI | 10.1111/j.1541-0420.2012.01751.x |
Alternate Journal | Biometrics |
Original Publication | Bayesian lasso for semiparametric structural equation models. |
PubMed ID | 22376150 |
PubMed Central ID | PMC3371320 |
Grant List | RR025747-01 / RR / NCRR NIH HHS / United States R01 CA074015-12 / CA / NCI NIH HHS / United States MH086633 / MH / NIMH NIH HHS / United States T32 CA106209 / CA / NCI NIH HHS / United States P01 CA142538 / CA / NCI NIH HHS / United States R01 GM070335-14 / GM / NIGMS NIH HHS / United States R01 CA074015-11A1 / CA / NCI NIH HHS / United States R21 AG033387-02 / AG / NIA NIH HHS / United States AG033387 / AG / NIA NIH HHS / United States R01 CA074015-04A1 / CA / NCI NIH HHS / United States R01 GM070335-13A1 / GM / NIGMS NIH HHS / United States R01 CA074015-09 / CA / NCI NIH HHS / United States UL1 RR025747-01S1 / RR / NCRR NIH HHS / United States P01 CA142538-01 / CA / NCI NIH HHS / United States R01 GM070335-12 / GM / NIGMS NIH HHS / United States P01 CA142538-03 / CA / NCI NIH HHS / United States R01 CA074015-06 / CA / NCI NIH HHS / United States T32 CA106209-04 / CA / NCI NIH HHS / United States R01 CA074015-05 / CA / NCI NIH HHS / United States TL1 RR025745-02 / RR / NCRR NIH HHS / United States R01 MH086633-02 / MH / NIMH NIH HHS / United States P01 CA142538-02 / CA / NCI NIH HHS / United States R01 CA074015-03 / CA / NCI NIH HHS / United States R01 GM070335-08 / GM / NIGMS NIH HHS / United States UL1 RR025780 / RR / NCRR NIH HHS / United States R01 MH086633-03 / MH / NIMH NIH HHS / United States R01 GM070335-10 / GM / NIGMS NIH HHS / United States R21 AG033387-01A1 / AG / NIA NIH HHS / United States T32 CA106209-05 / CA / NCI NIH HHS / United States UL1 RR025747-01 / RR / NCRR NIH HHS / United States P01CA142538-01 / CA / NCI NIH HHS / United States CA074015 / CA / NCI NIH HHS / United States R01 CA070101-06 / CA / NCI NIH HHS / United States R01 MH086633 / MH / NIMH NIH HHS / United States R01 GM070335-09 / GM / NIGMS NIH HHS / United States UL1 RR025747-02 / RR / NCRR NIH HHS / United States R01 CA074015-10 / CA / NCI NIH HHS / United States EB005149-01 / EB / NIBIB NIH HHS / United States T32 CA106209-01 / CA / NCI NIH HHS / United States R01 MH086633-01A1 / MH / NIMH NIH HHS / United States R01 GM070335 / GM / NIGMS NIH HHS / United States R01 GM070335-11 / GM / NIGMS NIH HHS / United States R01 CA070101-05 / CA / NCI NIH HHS / United States UL1 RR025747-02S3 / RR / NCRR NIH HHS / United States T32 CA106209-07 / CA / NCI NIH HHS / United States R01 GM070335-07A1 / GM / NIGMS NIH HHS / United States GM070335 / GM / NIGMS NIH HHS / United States R01 CA070101-04 / CA / NCI NIH HHS / United States R01 CA074015-08A2 / CA / NCI NIH HHS / United States T32 CA106209-03 / CA / NCI NIH HHS / United States T32 CA106209-02 / CA / NCI NIH HHS / United States R21 AG033387 / AG / NIA NIH HHS / United States R01 CA074015-07 / CA / NCI NIH HHS / United States T32 CA106209-06A2 / CA / NCI NIH HHS / United States R01 CA074015 / CA / NCI NIH HHS / United States |
Bayesian lasso for semiparametric structural equation models.
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