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Estimation of generalized linear mixed models (GLMMs) with non-nested random effects structures requires approximation of high-dimensional integrals. Many existing methods are tailored to the low-dimensional integrals produced by nested…

统计计算 · 统计学 2014-04-01 Andrew T. Karl , Yan Yang , Sharon L. Lohr

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

Randomized response (RR) designs are used to collect response data about sensitive behaviors (e.g., criminal behavior, sexual desires). The modeling of RR data is more complex, since it requires a description of the RR process. For the…

统计方法学 · 统计学 2021-06-21 Jean-Paul Fox , Konrad Klotzke , Duco Veen

Exact MLE for generalized linear mixed models (GLMMs) is a long-standing problem unsolved until today. The proposed research solves the problem. In this problem, the main difficulty is caused by intractable integrals in the likelihood…

统计方法学 · 统计学 2024-10-14 Tonglin Zhang

Generalized linear mixed models (GLMMs) are often used for analyzing correlated non-Gaussian data. The likelihood function in a GLMM is available only as a high dimensional integral, and thus closed-form inference and prediction are not…

统计方法学 · 统计学 2022-06-27 Vivekananda Roy

Latent variable models represent a useful tool for the analysis of complex data when the constructs of interest are not observable. A problem related to these models is that the integrals involved in the likelihood function cannot be solved…

统计方法学 · 统计学 2015-03-05 Silvia Bianconcini , Silvia Cagnone , Dimitris Rizopoulos

Modern biomedical datasets are increasingly high dimensional and exhibit complex correlation structures. Generalized Linear Mixed Models (GLMMs) have long been employed to account for such dependencies. However, proper specification of the…

统计方法学 · 统计学 2024-04-18 Hillary M. Heiling , Naim U. Rashid , Quefeng Li , Xianlu L. Peng , Jen Jen Yeh , Joseph G. Ibrahim

We describe the \proglang{R} package \pkg{glmmrBase} and an extension \pkg{glmmrOptim}. \pkg{glmmrBase} provides a flexible approach to specifying, fitting, and analysing generalised linear mixed models. We use an object-orientated class…

统计计算 · 统计学 2024-03-15 Samuel I. Watson

Mixtures of linear mixed models (MLMMs) are useful for clustering grouped data and can be estimated by likelihood maximization through the EM algorithm. The conventional approach to determining a suitable number of components is to compare…

应用统计 · 统计学 2014-05-26 Siew Li Tan , David J. Nott

Linear mixed models (LMMs) are used extensively to model dependecies of observations in linear regression and are used extensively in many application areas. Parameter estimation for LMMs can be computationally prohibitive on big data.…

机器学习 · 统计学 2019-03-08 Zilong Tan , Kimberly Roche , Xiang Zhou , Sayan Mukherjee

The restricted maximum likelihood method enhances popularity of maximum likelihood methods for variance component analysis on large scale unbalanced data. As the high throughput biological data sets and the emerged science on uncertainty…

统计计算 · 统计学 2018-05-15 Shengxin Zhu , Andrew J Wathen

Generalized linear mixed-effects models (GLMMs) are widely used to analyze grouped and hierarchical data. In a GLMM, each response is assumed to follow an exponential-family distribution where the natural parameter is given by a linear…

机器学习 · 统计学 2026-04-14 Yuli Slavutsky , Sebastian Salazar , David M. Blei

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…

统计计算 · 统计学 2014-06-03 Jürg Schelldorfer , Lukas Meier , Peter Bühlmann

Linear mixed models (LMMs) are used as an important tool in the data analysis of repeated measures and longitudinal studies. The most common form of LMMs utilize a normal distribution to model the random effects. Such assumptions can often…

统计方法学 · 统计学 2016-02-16 Hien D. Nguyen , Geoffrey J. McLachlan

The Generalized Linear Model (GLM) for the Gamma distribution (glmGamma) is widely used in modeling continuous, non-negative and positive-skewed data, such as insurance claims and survival data. However, model selection for GLM depends on…

统计方法学 · 统计学 2018-04-24 Xin Chen , Aleksandr Y. Aravkin , R. Douglas Martin

The composite likelihood (CL) is amongst the computational methods used for estimation of the generalized linear mixed model (GLMM) in the context of bivariate meta-analysis of diagnostic test accuracy studies. Its advantage is that the…

统计方法学 · 统计学 2018-07-12 Aristidis K. Nikoloulopoulos

The R package lcmm provides a series of functions to estimate statistical models based on linear mixed model theory. It includes the estimation of mixed models and latent class mixed models for Gaussian longitudinal outcomes (hlme),…

统计计算 · 统计学 2017-08-24 Cécile Proust-Lima , Viviane Philipps , Benoit Liquet

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…

统计方法学 · 统计学 2019-06-11 Stephanie T. Chen , Luo Xiao , Ana-Maria Staicu

Sparse regularized regression methods are now widely used in genome-wide association studies (GWAS) to address the multiple testing burden that limits discovery of potentially important predictors. Linear mixed models (LMMs) have become an…

统计方法学 · 统计学 2022-06-27 Julien St-Pierre , Karim Oualkacha , Sahir Rai Bhatnagar

Restricted maximum likelihood (REML) estimation is a widely accepted and frequently used method for fitting linear mixed models, with its principal advantage being that it produces less biased estimates of the variance components. However,…

统计方法学 · 统计学 2025-05-15 Luca Maestrini , Francis K. C. Hui , Alan H. Welsh
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