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Linear mixed effects are considered excellent predictors of cluster-level parameters in various domains. However, previous work has shown that their performance can be seriously affected by departures from modelling assumptions. Since the…

统计方法学 · 统计学 2022-07-27 Katarzyna Reluga , Stefan Sperlich

Mixed effects (ME) models inform a vast array of problems in the physical and social sciences, and are pervasive in meta-analysis. We consider ME models where the random effects component is linear. We then develop an efficient approach for…

Clustered data arise naturally in many scientific and applied research settings where units are grouped within clusters. They are commonly analyzed using linear mixed models to account for within-cluster correlations. This article focuses…

统计方法学 · 统计学 2025-10-10 Zhi Yang Tho , Raymond Chambers , A. H. Welsh

Accurate statistical inference in logistic regression models remains a critical challenge when the ratio between the number of parameters and sample size is not negligible. This is because approximations based on either classical asymptotic…

统计方法学 · 统计学 2022-08-19 Qian Zhao , Emmanuel J. Candes

Statistical inference is a major scientific endeavor for many researchers. In terms of inferential methods implemented to mixed-effects models, significant progress has been made in the R software. However, these advances primarily concern…

统计方法学 · 统计学 2024-04-15 Fabio Mason , Manuel Koller , Eva Cantoni , Paolo Ghisletta

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…

统计方法学 · 统计学 2016-12-08 Adam Loy , Heike Hofmann , Dianne Cook

Maximum likelihood or restricted maximum likelihood (REML) estimates of the parameters in linear mixed-effects models can be determined using the lmer function in the lme4 package for R. As for most model-fitting functions in R, the model…

统计计算 · 统计学 2014-06-24 Douglas Bates , Martin Mächler , Ben Bolker , Steve Walker

Linear Mixed-Effects (LME) models are a fundamental tool for modeling clustered data, including cohort studies, longitudinal data analysis, and meta-analysis. The design and analysis of variable selection methods for LMEs is considerably…

统计方法学 · 统计学 2022-09-28 Aleksandr Aravkin , James Burke , Aleksei Sholokhov , Peng Zheng

Mixture models are a popular tool in model-based clustering. Such a model is often fitted by a procedure that maximizes the likelihood, such as the EM algorithm. At convergence, the maximum likelihood parameter estimates are typically…

统计计算 · 统计学 2019-07-23 Adrian O'Hagan , Thomas Brendan Murphy , Luca Scrucca , Isobel Claire Gormley

By amalgamating data from disparate sources, the resulting integrated dataset becomes a valuable resource for statistical analysis. In probabilistic record linkage, the effectiveness of such integration relies on the availability of linkage…

统计方法学 · 统计学 2025-11-10 Siu-Ming Tam , Min Wang , Alicia Rambaldi , Dehua Tao

Background and Objective: Uncertainty in non-linear mixed effect models is often assessed using the Fisher information matrix to derive the standard errors of estimation. The bootstrap is an alternative to the asymptotic method, with…

统计方法学 · 统计学 2026-05-05 Sofia Kaisaridi , Moreno Ursino , Emmanuelle Comets

When examining the relationship between an exposure and an outcome, there is often a time lag between exposure and the observed effect on the outcome. A common statistical approach for estimating the relationship between the outcome and…

统计方法学 · 统计学 2025-04-28 Seongwon Im , Ander Wilson , Daniel Mork

Estimating the mixing density of a latent mixture model is an important task in signal processing. Nonparametric maximum likelihood estimation is one popular approach to this problem. If the latent variable distribution is assumed to be…

统计方法学 · 统计学 2024-03-01 Shijie Wang , Minsuk Shin , Ray Bai

Meta-analytical models are typically formulated as a mixed-effects model where the sampling variances of the effect sizes are treated as known. In principle, such models could be fitted with standard mixed-modelling software such as the…

With the arrival of the R packages nlme and lme4, linear mixed models (LMMs) have come to be widely used in experimentally-driven areas like psychology, linguistics, and cognitive science. This tutorial provides a practical introduction to…

统计方法学 · 统计学 2020-01-17 Tanner Sorensen , Shravan Vasishth

BACKGROUND: Random-effects meta-analysis within a hierarchical normal modeling framework is commonly implemented in a wide range of evidence synthesis applications. More general problems may even be tackled when considering meta-regression…

统计计算 · 统计学 2022-12-27 Christian Röver , Tim Friede

The maximum-likelihood estimator of nonlinear panel data models with fixed effects is consistent but asymptotically-biased under rectangular-array asymptotics. The literature has thus far concentrated its effort on devising methods to…

计量经济学 · 经济学 2022-01-28 Ayden Higgins , Koen Jochmans

A regression method for proportional, or fractional, data with mixed effects is outlined, designed for analysis of datasets in which the outcomes have substantial weight at the bounds. In such cases a normal approximation is particularly…

统计方法学 · 统计学 2018-05-23 Colman Humphrey , Dan Swingley

In this paper we study a bootstrap strategy for estimating the variance of a mean taken over large multifactor crossed random effects data sets. We apply bootstrap reweighting independently to the levels of each factor, giving each…

统计方法学 · 统计学 2012-09-28 Art B. Owen , Dean Eckles

This paper suggests parametrically transformed nested error regression models (TNERM), which transform the data flexibly to follow the normal linear mixed regression. We provide a procedure for estimating consistently the parameters of the…

统计方法学 · 统计学 2018-03-14 Shonosuke Sugasawa , Tatsuya Kubokawa
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