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The primary analysis of clinical trials in diabetes therapeutic area often involves a mixed-model repeated measure (MMRM) approach to estimate the average treatment effect for longitudinal continuous outcome, and a generalized linear mixed…

Applications · Statistics 2022-08-03 Lingjing Jiang , Michael Rosenblum , Yu Du

We present a brief overview of the methods for making statistical inference (testing statistical hypotheses, construction of confidence and/or prediction intervals and regions) about linear functions of the fixed effects and/or about the…

Computation · Statistics 2013-01-07 Viktor Witkovský

A novel data-driven methodology is presented for the joint selection of prior parameters for both fixed and random effects in Linear Mixed Models (LMMs). This approach facilitates the estimation of complex random-effects structures, as well…

Methodology · Statistics 2026-04-28 Matteo Amestoy , R. Vermeulen , Mark A. van de Wiel , Wessel N. van Wieringen

We propose an estimation approach to analyse correlated functional data which are observed on unequal grids or even sparsely. The model we use is a functional linear mixed model, a functional analogue of the linear mixed model. Estimation…

Methodology · Statistics 2015-08-10 Jona Cederbaum , Marianne Pouplier , Phil Hoole , Sonja Greven

Regularized regression models are well studied and, under appropriate conditions, offer fast and statistically interpretable results. However, large data in many applications are heterogeneous in the sense of harboring distributional…

Methodology · Statistics 2022-10-25 Konstantinos Perrakis , Thomas Lartigue , Frank Dondelinger , Sach Mukherjee

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

Nonlinear mixed effects models represent a powerful tool to simultaneously analyze data from several individuals. In this study a compartmental model of leucine kinetics is examined and extended with a stochastic differential equation to…

Quantitative Methods · Quantitative Biology 2011-01-05 Martin Berglund , Mikael Sunnåker , Martin Adiels , Mats Jirstrand , Bernt Wennberg

A general random effects model is proposed that allows for continuous as well as discrete distributions of the responses. Responses can be unrestricted continuous, bounded continuous, binary, ordered categorical or given in the form of…

Methodology · Statistics 2024-04-30 Gerhard Tutz

We consider the evaluation of laboratory practice through the comparison of measurements made by participating metrology laboratories when the measurement procedures are considered to have both fixed effects (the residual error due to…

Applications · Statistics 2012-05-09 John F Clare , Annette Koo , Robert B Davies

The complexity of linear mixed-effects (LME) models means that traditional diagnostics are rendered less effective. This is due to a breakdown of asymptotic results, boundary issues, and visible patterns in residual plots that are…

Methodology · Statistics 2016-12-08 Adam Loy , Heike Hofmann , Dianne Cook

Linear mixed effects models (LMMs) are a popular and powerful tool for analyzing clustered or repeated observations for numeric outcomes. LMMs consist of a fixed and a random component, specified in the model through their respective design…

Statistics Theory · Mathematics 2019-12-10 Rok Blagus , Jakob Peterlin , Nataša Kejžar

This paper is devoted to the study of the general linear hypothesis testing (GLHT) problem of multi-sample high-dimensional mean vectors. For the GLHT problem, we introduce a test statistic based on $L^2$-norm and random integration method,…

Statistics Theory · Mathematics 2024-10-22 Mingxiang Cao , Yelong Qiu , Junyong Park

Relative weight analysis is a classic tool for detecting whether one variable or interaction in a model is relevant. In this study, we focus on the construction of relative weights for non-linear interactions using restricted cubic splines.…

Methodology · Statistics 2021-08-30 Maikol Solís , Carlos Pasquier

Generalized linear mixed models (GLMMs) are used to model responses from exponential families with a combination of fixed and random effects. For variance components in GLMMs, we propose an approximate restricted likelihood ratio test that…

Methodology · Statistics 2019-06-11 Stephanie T. Chen , Luo Xiao , Ana-Maria Staicu

We propose an $\ell_1$-penalized estimation procedure for high-dimensional linear mixed-effects models. The models are useful whenever there is a grouping structure among high-dimensional observations, i.e. for clustered data. We prove a…

Methodology · Statistics 2011-05-12 Jürg Schelldorfer , Peter Bühlmann , Sara van de Geer

Motivated by two distinct types of biomedical time series data, digital health monitoring and neuroimaging, we develop a novel approach for changepoint analysis that uses a generalised linear mixed model framework. The generalised linear…

Methodology · Statistics 2024-10-02 Mark B. Fiecas , Kathryn R. Cullen , Rebecca Killick

Mixed-effect models are very popular for analyzing data with a hierarchical structure, e.g. repeated observations within subjects in a longitudinal design, patients nested within centers in a multicenter design. However, recently, due to…

Methodology · Statistics 2019-05-09 Abhik Ghosh , Magne Thoresen

Mixed-effect models are widely used for the analysis of correlated data such as longitudinal data and repeated measures. In this article, we study an approach to the nonparametric estimation of mixed-effect models. We consider models with…

Statistics Theory · Mathematics 2007-06-13 Chong Gu , Ping Ma

The generalized linear model is widely used in all areas of applied statistics and while correct asymptotic inference can be achieved under misspecification of the distributional assumptions, a correctly specified mean structure is crucial…

Methodology · Statistics 2015-07-07 Klaus K. Holst

The linear regression model is widely used in the biomedical and social sciences as well as in policy and business research to adjust for covariates and estimate the average effects of treatments. Behind every causal inference endeavor…

Methodology · Statistics 2024-04-23 Ambarish Chattopadhyay , Noah Greifer , Jose R. Zubizarreta