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Linear mixed models (LMMs) are a popular class of methods for analyzing longitudinal and clustered data. However, such models can be sensitive to outliers, and this can lead to biased inference on model parameters and inaccurate prediction…

Methodology · Statistics 2025-03-28 Shonosuke Sugasawa , Francis K. C. Hui , Alan H. Welsh

Empirical claims often rely on one population, design, and analysis. Many-analysts, multiverse, and robustness studies expose how results can vary across plausible analytic choices. Synthesizing these results, however, is nontrivial as all…

Methodology · Statistics 2025-11-24 František Bartoš , Suzanne Hoogeveen , Alexandra Sarafoglou , Samuel Pawel

P values or risk ratios from multiple, independent studies, observational or randomized, can be computationally combined to provide an overall assessment of a research question in meta-analysis. There is a need to examine the reliability of…

Methodology · Statistics 2021-10-28 S. Stanley Young , Warren B. Kindzierski

Performing causal inference in observational studies requires we assume confounding variables are correctly adjusted for. G-computation methods are often used in these scenarios, with several recent proposals using Bayesian versions of…

Methodology · Statistics 2021-10-25 Daniel Daly-Grafstein , Paul Gustafson

Proper statistical modeling incorporates domain theory about how concepts relate and details of how data were measured. However, data analysts currently lack tool support for recording and reasoning about domain assumptions, data…

Artificial Intelligence · Computer Science 2022-01-11 Eunice Jun , Audrey Seo , Jeffrey Heer , René Just

Mediation analysis is one of the most widely used statistical techniques in the social, behavioral, and medical sciences. Mediation models allow to study how an independent variable affects a dependent variable indirectly through one or…

Computation · Statistics 2022-08-18 Andreas Alfons , Nüfer Y. Ateş , Patrick J. F. Groenen

We develop a framework for derivative Gaussian process latent variable models (DGP-LVMs) that can handle multi-dimensional output data using modified derivative covariance functions. The modifications account for complexities in the…

Methodology · Statistics 2025-06-10 Soham Mukherjee , Manfred Claassen , Paul-Christian Bürkner

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

Meta-analysis of genome-wide association studies is increasingly popular and many meta-analytic methods have been recently proposed. A majority of meta-analytic methods combine information from multiple studies by assuming that studies are…

Quantitative Methods · Quantitative Biology 2014-01-20 Buhm Han , Jae Hoon Sul , Eleazar Eskin , Paul I. W. de Bakker , Soumya Raychaudhuri

This article introduces a novel nonparametric methodology for Generalized Linear Models which combines the strengths of the binary regression and latent variable formulations for categorical data, while overcoming their disadvantages.…

Machine Learning · Statistics 2021-10-12 K. P. Chowdhury

We propose an L1-penalized algorithm for fitting high-dimensional generalized linear mixed models. Generalized linear mixed models (GLMMs) can be viewed as an extension of generalized linear models for clustered observations. This…

Computation · Statistics 2014-06-03 Jürg Schelldorfer , Lukas Meier , Peter Bühlmann

Forward marginal effects have recently been introduced as a versatile and effective model-agnostic interpretation method particularly suited for non-linear and non-parametric prediction models. They provide comprehensible model explanations…

Machine Learning · Computer Science 2024-09-13 Holger Löwe , Christian A. Scholbeck , Christian Heumann , Bernd Bischl , Giuseppe Casalicchio

We propose Dirichlet Process mixtures of Generalized Linear Models (DP-GLM), a new method of nonparametric regression that accommodates continuous and categorical inputs, and responses that can be modeled by a generalized linear model. We…

Machine Learning · Statistics 2010-07-16 Lauren A. Hannah , David M. Blei , Warren B. Powell

We introduce inferential methods for prediction based on functional random effects in generalized functional mixed effects models. This is similar to the inference for random effects in generalized linear mixed effects models (GLMMs), but…

Methodology · Statistics 2025-01-15 Xinkai Zhou , Erjia Cui , Joseph Sartini , Ciprian Crainiceanu

Data transformations are essential for broad applicability of parametric regression models. However, for Bayesian analysis, joint inference of the transformation and model parameters typically involves restrictive parametric transformations…

Methodology · Statistics 2024-08-29 Daniel R. Kowal , Bohan Wu

Univariate regression models have rich literature for counting data. However, this is not the case for multivariate count data. Therefore, we present the Multivariate Generalized Linear Mixed Models framework that deals with a multivariate…

In clinical trials, studies often present longitudinal data or clustered data. These studies are commonly analyzed using linear mixed models (LMMs), usually considering Gaussian assumptions for random effect and error terms. Recently,…

Methodology · Statistics 2021-09-28 Fernanda L. Schumacher , Larissa A. Matos , Celso R. B. Cabral

We discuss the Gaussian graphical model (GGM; an undirected network of partial correlation coefficients) and detail its utility as an exploratory data analysis tool. The GGM shows which variables predict one-another, allows for sparse…

Methodology · Statistics 2018-02-09 Sacha Epskamp , Lourens J. Waldorp , René Mõttus , Denny Borsboom

We introduce Matched Machine Learning, a framework that combines the flexibility of machine learning black boxes with the interpretability of matching, a longstanding tool in observational causal inference. Interpretability is paramount in…

Methodology · Statistics 2023-04-05 Marco Morucci , Cynthia Rudin , Alexander Volfovsky

The issue of variance components testing arises naturally when building mixed-effects models, to decide which effects should be modeled as fixed or random. While tests for fixed effects are available in R for models fitted with lme4, tools…

Methodology · Statistics 2021-05-18 Charlotte Baey , Estelle Kuhn
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