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This paper introduces distributional regression, also known as generalized additive models for location, scale and shape (GAMLSS), as a modeling framework for analyzing treatment effects beyond the mean. By relating each parameter of the…

Applications · Statistics 2019-03-29 Maike Hohberg , Peter Pütz , Thomas Kneib

Growth mixture models (GMMs) incorporate both conventional random effects growth modeling and latent trajectory classes as in finite mixture modeling; therefore, they offer a way to handle the unobserved heterogeneity between subjects in…

Methodology · Statistics 2017-11-15 Yuhong Wei , Yang Tang , Emilie Shireman , Paul D. McNicholas , Douglas L. Steinley

This paper explores improvements in prediction accuracy and inference capability when allowing for potential correlation in team-level random effects across multiple game-level responses from different assumed distributions. First-order and…

Applications · Statistics 2019-03-01 Jennifer E. Broatch , Andrew T. Karl

We propose a random-effects approach to missing values for generalized linear mixed model (GLMM) analysis. The method converts a GLMM with missing covariates to another GLMM without missing covariates. The standard GLMM analysis tools for…

Methodology · Statistics 2026-01-01 Thuan Nguyen , Jiangshan Zhang , Jiming Jiang

Generalized additive models for location, scale and shape (GAMLSS) are a flexible class of regression models that allow to model multiple parameters of a distribution function, such as the mean and the standard deviation, simultaneously.…

Computation · Statistics 2014-07-08 Benjamin Hofner , Andreas Mayr , Matthias Schmid

Multilevel models (mixed-effect models or hierarchical linear models) are now a standard approach to analysing clustered and longitudinal data in the social, behavioural and medical sciences. This review article focuses on multilevel linear…

Methodology · Statistics 2019-07-16 George Leckie

We present generalized additive latent and mixed models (GALAMMs) for analysis of clustered data with responses and latent variables depending smoothly on observed variables. A scalable maximum likelihood estimation algorithm is proposed,…

Methodology · Statistics 2023-03-29 Øystein Sørensen , Anders M. Fjell , Kristine B. Walhovd

Joint models for a wide class of response variables and longitudinal measurements consist on a mixed-effects model to fit longitudinal trajectories whose random effects enter as covariates in a generalized linear model for the primary…

Methodology · Statistics 2014-07-03 Rolando De la Cruz , Cristian Meza , Ana Arribas-Gil , Raymond J. Carroll

Generalized additive models for location, scale and shape (GAMLSS) are a popular extension to mean regression models where each parameter of an arbitrary distribution is modelled through covariates. While such models have been developed for…

Methodology · Statistics 2024-12-02 Lucas Kock , Nadja Klein

We introduce a generalized additive model for location, scale, and shape (GAMLSS) next of kin aiming at distribution-free and parsimonious regression modelling for arbitrary outcomes. We replace the strict parametric distribution…

Methodology · Statistics 2023-12-21 Sandra Siegfried , Lucas Kook , Torsten Hothorn

Nonlinear relationships between covariates and a response variable of interest are frequently encountered in animal science research. Within statistical models, these nonlinear effects have, traditionally, been handled using a range of…

Applications · Statistics 2025-10-28 Gavin L. Simpson

We propose an extension of Markov-switching generalized additive models for location, scale, and shape (MS-GAMLSS) that allows covariates to influence not only the parameters of the state-dependent distributions but also the state…

Methodology · Statistics 2026-01-08 Katharina Ammann , Timo Adam , Jan-Ole Koslik

Growth curve models are popular tools for studying the development of a response variable within subjects over time. Heterogeneity between subjects is common in such models, and researchers are typically interested in explaining or…

Methodology · Statistics 2025-10-07 Marjolein Fokkema , Achim Zeileis

Multivariate data occurs in a wide range of fields, with ever more flexible model specifications being proposed, often within a multivariate generalised linear mixed effects (MGLME) framework. In this article, we describe an extended…

Methodology · Statistics 2017-10-09 Michael J. Crowther

A new method is proposed to perform joint analysis of longitudinal and cross-sectional growth data. Clustering is first performed to group similar subjects in cross-sectional data to form a pseudo longitudinal data set, then the pseudo…

Methodology · Statistics 2025-09-24 Long Chen , Ji Chen , Yingchun Zhou

Model-based trees are used to find subgroups in data which differ with respect to model parameters. In some applications it is natural to keep some parameters fixed globally for all observations while asking if and how other parameters vary…

Computation · Statistics 2025-10-07 Heidi Seibold , Torsten Hothorn , Achim Zeileis

We propose a general framework for non-normal multivariate data analysis called multivariate covariance generalized linear models (McGLMs), designed to handle multivariate response variables, along with a wide range of temporal and spatial…

Methodology · Statistics 2017-04-25 Wagner Hugo Bonat , Bent Jørgensen

Finite mixture distributions arise in sampling a heterogeneous population. Data drawn from such a population will exhibit extra variability relative to any single subpopulation. Statistical models based on finite mixtures can assist in the…

Methodology · Statistics 2024-01-19 Andrew M. Raim , Nagaraj K. Neerchal , Jorge G. Morel

Estimation of generalized linear mixed models (GLMMs) with non-nested random effects structures requires approximation of high-dimensional integrals. Many existing methods are tailored to the low-dimensional integrals produced by nested…

Computation · Statistics 2014-04-01 Andrew T. Karl , Yan Yang , Sharon L. Lohr

We consider the analysis of continuous repeated measurement outcomes that are collected through time, also known as longitudinal data. A standard framework for analysing data of this kind is a linear Gaussian mixed-effects model within…

Methodology · Statistics 2018-04-10 Özgür Asar , David Bolin , Peter J. Diggle , Jonas Wallin
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