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Linear mixed models are widely used for analyzing hierarchically structured data involving missingness and unbalanced study designs. We consider a Bayesian clustering method that combines linear mixed models and predictive projections. For…

Methodology · Statistics 2021-07-07 Yinan Mao , David J. Nott

A semi-parametric, non-linear regression model in the presence of latent variables is introduced. These latent variables can correspond to unmodeled phenomena or unmeasured agents in a complex networked system. This new formulation allows…

Machine Learning · Statistics 2018-06-29 Jonathan Mei , José M. F. Moura

We derive streamlined mean field variational Bayes algorithms for fitting linear mixed models with crossed random effects. In the most general situation, where the dimensions of the crossed groups are arbitrarily large, streamlining is…

Methodology · Statistics 2022-04-15 Marianne Menictas , Gioia Di Credico , Matt P. Wand

We consider survival data from a population with cured subjects in the presence of mismeasured covariates. We use the mixture cure model to account for the individuals that will never experience the event and at the same time distinguish…

Methodology · Statistics 2020-09-15 Eni Musta , Ingrid Van Keilegom

When multiple measures are collected repeatedly over time, redundancy typically exists among responses. The envelope method was recently proposed to reduce the dimension of responses without loss of information in regression with…

Methodology · Statistics 2021-03-25 Yuyang Shi , Linquan Ma , Lan Liu

Covariate adjustment is an approach to improve the precision of trial analyses by adjusting for baseline variables that are prognostic of the primary endpoint. Motivated by the SEARCH Universal HIV Test-and-Treat Trial (2013-2017), we tell…

Methodology · Statistics 2025-12-16 Laura B. Balzer , Mark J. van der Laan , Maya L. Petersen

Graphical models are commonly used tools for modeling multivariate random variables. While there exist many convenient multivariate distributions such as Gaussian distribution for continuous data, mixed data with the presence of discrete…

Machine Learning · Statistics 2014-04-30 Jianqing Fan , Han Liu , Yang Ning , Hui Zou

In this article, we develop a distributed variable screening method for generalized linear models. This method is designed to handle situations where both the sample size and the number of covariates are large. Specifically, the proposed…

Methodology · Statistics 2024-05-09 Tianbo Diao , Lianqiang Qu , Bo Li , Liuquan Sun

We study the principal components of covariance estimators in multivariate mixed-effects linear models. We show that, in high dimensions, the principal eigenvalues and eigenvectors may exhibit bias and aliasing effects that are not present…

Probability · Mathematics 2020-08-06 Zhou Fan , Yi Sun , Zhichao Wang

Joint models initially dedicated to a single longitudinal marker and a single time-to-event need to be extended to account for the rich longitudinal data of cohort studies. Multiple causes of clinical progression are indeed usually…

Applications · Statistics 2016-01-26 Cécile Proust-Lima , Jean-François Dartigues , Hélène Jacqmin-Gadda

Many relevant statistical and econometric models for the analysis of longitudinal data include a latent process to account for the unobserved heterogeneity between subjects in a dynamic fashion. Such a process may be continuous (typically…

Statistics Theory · Mathematics 2011-08-09 Francesco Bartolucci , Silvia Bacci , Fulvia Pennoni

When conducting a paired $2\times2$ crossover design, each subject is paired with another subject with similar characteristics. The pair is then randomized to the same sequence of two treatments. That is, the two subjects receive the first…

Statistics Theory · Mathematics 2008-12-18 Laura J. Simon , Vernon M. Chinchilli

Joint models (JM) for longitudinal and survival data have gained increasing interest and found applications in a wide range of clinical and biomedical settings. These models facilitate the understanding of the relationship between outcomes…

Methodology · Statistics 2023-08-25 Sida Chen , Danilo Alvares , Christopher Jackson , Jessica Barrett

Linear model prediction with a large number of potential predictors is both statistically and computationally challenging. The traditional approaches are largely based on shrinkage selection/estimation methods, which are applicable even…

Methodology · Statistics 2024-09-17 Hanmei Sun , Jiangshan Zhang , Jiming Jiang

Cross-validation is frequently used for model selection in a variety of applications. However, it is difficult to apply cross-validation to mixed effects models (including nonlinear mixed effects models or NLME models) due to the fact that…

Methodology · Statistics 2013-05-24 Emily Colby , Eric Bair

The manuscript discusses how to incorporate random effects for quantile regression models for clustered data with focus on settings with many but small clusters. The paper has three contributions: (i) documenting that existing methods may…

Methodology · Statistics 2022-02-24 Maria Laura Battagliola , Helle Sørensen , Anders Tolver , Ana-Maria Staicu

A new modeling framework for bipartite social networks arising from a sequence of partially time-ordered relational events is proposed. We directly model the joint distribution of the binary variables indicating if each single actor is…

Methodology · Statistics 2018-10-23 Francesco Bartolucci , Antonietta Mira , Stefano Peluso

With the increased availability of large databases of electronic health records (EHRs) comes the chance of enhancing health risks screening. Most post-marketing detections of adverse drug reaction (ADR) rely on physicians' spontaneous…

Applications · Statistics 2018-01-29 Maryan Morel , Emmanuel Bacry , Stéphane Gaïffas , Agathe Guilloux , Fanny Leroy

There has been a growing interest in covariate adjustment in the analysis of randomized controlled trials in past years. For instance, the U.S. Food and Drug Administration recently issued guidance that emphasizes the importance of…

Methodology · Statistics 2023-06-12 Kelly Van Lancker , Frank Bretz , Oliver Dukes

In health cohort studies, repeated measures of markers are often used to describe the natural history of a disease. Joint models allow to study their evolution by taking into account the possible informative dropout usually due to clinical…

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