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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…

Methodology · Statistics 2022-07-27 Katarzyna Reluga , Stefan Sperlich

This paper provides a review of model selection and model averaging methods for multinomial probit models estimated using the MACML approach. The proposed approaches are partitioned into test based methods (mostly derived from the…

Methodology · Statistics 2017-04-04 Manuel Batram , Dietmar Bauer

The main theme of this paper is a modification of the likelihood ratio test (LRT) for testing high dimensional covariance matrix. Recently, the correct asymptotic distribution of the LRT for a large-dimensional case (the case $p/n$…

Methodology · Statistics 2019-04-16 Young-Geun Choi , Chi Tim Ng , Johan Lim

This paper is concerned with the selection of fixed effects along with the estimation of fixed effects, random effects and variance components in the linear mixed-effects model. We introduce a selection procedure based on an adaptive ridge…

Methodology · Statistics 2017-05-08 Eric Adjakossa , Grégory Nuel

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

We study mixed-effects methods for estimating equations containing person and firm effects. In economics such models are usually estimated using fixed-effects methods. Recent enhancements to those fixed-effects methods include corrections…

Econometrics · Economics 2023-08-30 John M. Abowd , Kevin L. McKinney

We consider fits to two or more datasets for which results from the sa me experiment share a common systematic uncertainty in addition to their individ ual statistical errors. This is important in extracting the maximum information from a…

Data Analysis, Statistics and Probability · Physics 2020-09-29 Roger John Barlow

In this paper, a Mixed Data Sampling (MIDAS) model is studied when both low and high frequency variables are contaminated with measurement error. It is shown that the profile likelihood estimator becomes inconsistent in the presence of…

Methodology · Statistics 2026-04-28 Sukhbir Kaur , Sukhbir Singh , Kanchan Jain , Pooja Soni

Estimation of crossed random effects models commonly requires computational costs that grow faster than linearly in the sample size $N$, often as fast as $\Omega(N^{3/2})$, making them unsuitable for large data sets. For non-Gaussian…

Methodology · Statistics 2025-05-01 Ruggero Bellio , Swarnadip Ghosh , Art B. Owen , Cristiano Varin

Statistical models of unobserved heterogeneity are typically formalized as mixtures of simple parametric models and interest naturally focuses on testing for homogeneity versus general mixture alternatives. Many tests of this type can be…

Methodology · Statistics 2016-03-22 Jiaying Gu , Roger Koenker , Stanislav Volgushev

This paper builds on recent research that focuses on regression modeling of continuous bounded data, such as proportions measured on a continuous scale. Specifically, it deals with beta regression models with mixed effects from a Bayesian…

Marginal structural models are a popular tool for investigating the effects of time-varying treatments, but they require an assumption of no unobserved confounders between the treatment and outcome. With observational data, this assumption…

Methodology · Statistics 2021-06-10 Matthew Blackwell , Soichiro Yamauchi

We study mixed models with a single grouping factor, where inference about unknown parameters requires optimizing a marginal likelihood defined by an intractable integral. Low-dimensional numerical integration techniques are regularly used…

Methodology · Statistics 2025-01-22 Alex Stringer , Blair Bilodeau , Yanbo Tang

Testing covariance structure is of importance in many areas of statistical analysis, such as microarray analysis and signal processing. Conventional tests for finite-dimensional covariance cannot be applied to high-dimensional data in…

Statistics Theory · Mathematics 2013-10-31 Rongmao Zhang , Liang Peng , Ruodu Wang

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

Linear relations, containing measurement errors in input and output data, are considered. Parameters of these so-called errors-in-variables models can change at some unknown moment. The aim is to test whether such an unknown change has…

Statistics Theory · Mathematics 2020-01-22 Michal Pešta

Variational inference is a popular method for estimating model parameters and conditional distributions in hierarchical and mixed models, which arise frequently in many settings in the health, social, and biological sciences. Variational…

Methodology · Statistics 2019-01-10 Ted Westling , Tyler H. McCormick

Extensions of linear models are very commonly used in the analysis of biological data. Whereas goodness of fit measures such as the coefficient of determination (R2) or the adjusted R2 are well established for linear models, it is not…

Methodology · Statistics 2018-05-04 Hans-Peter Piepho

Statistical agencies and other institutions collect data under the promise to protect the confidentiality of respondents. When releasing microdata samples, the risk that records can be identified must be assessed. To this aim, a widely…

Applications · Statistics 2015-06-03 Cinzia Carota , Maurizio Filippone , Roberto Leombruni , Silvia Polettini

In small area estimation different data sources are integrated in order to produce reliable estimates of target parameters (e.g., a mean or a proportion) for a collection of small subsets (areas) of a finite population. Regression models…

Methodology · Statistics 2024-05-31 Enrico Fabrizi , Nicola Salvati , Martin Slawski