Longitudinal modeling of age-dependent latent traits with generalized additive latent and mixed models

DOI10.1007/s11336-023-09910-zzbMath1517.62096arXiv2105.02488OpenAlexW3158847767MaRDI QIDQ6175686

Anders M. Fjell, Øystein Sørensen, Kristine B. Walhovd

Publication date: 24 July 2023

Published in: Psychometrika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.02488

zbMATH Keywords

generalized additive mixed modelslatent variable modelingbrain and cognitionlifespan trajectoriesmixed response

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Nonparametric regression and quantile regression (62G08) Generalized linear models (logistic models) (62J12) Cognitive psychology (91E10) Applications of statistics to psychology (62P15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Maximum likelihood estimation of limited and discrete dependent variable models with nested random effects
• Conditional Akaike information criterion for generalized linear mixed models
• Bayesian semiparametric structural equation models with latent variables
• Straightforward intermediate rank tensor product smoothing in mixed models
• Maximum likelihood estimation in nonlinear mixed effects models
• Automatic approximation of the marginal likelihood in non-Gaussian hierarchical models
• Accuracy of Laplace approximation for discrete response mixed models
• Generalized additive models
• Flexible smoothing with \(B\)-splines and penalties. With comments and a rejoinder by the authors
• P-splines with derivative based penalties and tensor product smoothing of unevenly distributed data
• Convergence of a stochastic approximation version of the EM algorithm
• Inference and computation with generalized additive models and their extensions
• Maximum likelihood estimation of multilevel structural equation models with random slopes for latent covariates
• A Bayesian approach to nonlinear latent variable models using the Gibbs sampler and the Metropolis-Hastings algorithm
• Continuous time state space modeling of panel data by means of sem
• Latent variable models for ordinal data by using the adaptive quadrature approximation
• A sequential reduction method for inference in generalized linear mixed models
• Generalized multilevel structural equation modeling
• Bootstrap simultaneous error bars for nonparametric regression
• A Bayesian semiparametric dynamic two-level structural equation model for analyzing non-normal longitudinal data
• A unifying approach to the estimation of the conditional Akaike information in generalized linear mixed models
• A Bayesian modeling approach for generalized semiparametric structural equation models
• A Bayesian semiparametric latent variable model for mixed responses
• The axioms and principal results of classical test theory
• Direct Methods for Sparse Matrices
• Mixed Models
• AD Model Builder: using automatic differentiation for statistical inference of highly parameterized complex nonlinear models
• Coverage Properties of Confidence Intervals for Generalized Additive Model Components
• Smoothing Parameter Selection for a Class of Semiparametric Linear Models
• ggplot2
• On the behaviour of marginal and conditional AIC in linear mixed models
• Simple Incorporation of Interactions into Additive Models
• Direct Methods for Sparse Linear Systems
• ON CONFIDENCE INTERVALS FOR GENERALIZED ADDITIVE MODELS BASED ON PENALIZED REGRESSION SPLINES
• Latent Variable Modelling: A Survey*
• Bootstrapping in Nonparametric Regression: Local Adaptive Smoothing and Confidence Bands
• Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter
• Inference in Generalized Additive Mixed Models by Using Smoothing Splines
• The Analysis of Designed Experiments and Longitudinal Data by Using Smoothing Splines
• Large-Scale Estimation of Variance and Covariance Components
• Semiparametric Regression
• Mixed-Effects Models in S and S-PLUS
• Continuous Time Modeling in the Behavioral and Related Sciences
• Analysis of multivariate mixed longitudinal data: A flexible latent process approach
• Fast Stable Restricted Maximum Likelihood and Marginal Likelihood Estimation of Semiparametric Generalized Linear Models
• Thin Plate Regression Splines
• An Approximate Minimum Degree Ordering Algorithm
• Beyond SEM: General Latent Variable Modeling
• A Limited Memory Algorithm for Bound Constrained Optimization
• A joint marginalized multilevel model for longitudinal outcomes
• Low‐Rank Scale‐Invariant Tensor Product Smooths for Generalized Additive Mixed Models
• On p-values for smooth components of an extended generalized additive model
• ADDITIVE MODELS WITH PREDICTORS SUBJECT TO MEASUREMENT ERROR
• Conditional Akaike information for mixed-effects models
• Pairwise Fitting of Mixed Models for the Joint Modeling of Multivariate Longitudinal Profiles
• A Correspondence Between Bayesian Estimation on Stochastic Processes and Smoothing by Splines
• BOOTSTRAP INFERENCE IN SEMIPARAMETRIC GENERALIZED ADDITIVE MODELS
• Stable and Efficient Multiple Smoothing Parameter Estimation for Generalized Additive Models
• A new look at the statistical model identification