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This paper compares six different parameter estimation methods for shared frailty models via a series of simulation studies. A shared frailty model is a survival model that incorporates a random effect term, where the frailties are common…

Methodology · Statistics 2023-11-21 Tingxuan Wu , Cindy Feng , Longhai Li

Non-linear mixed effects modeling and simulation (NLME M&S) is evaluated to be used for standardization with longitudinal data in presence of confounders. Standardization is a well-known method in causal inference to correct for confounding…

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

Linear mixed models are widely used for clustered data, but their reliance on parametric forms limits flexibility in complex and high-dimensional settings. In contrast, gradient boosting methods achieve high predictive accuracy through…

Machine Learning · Statistics 2025-11-04 Mitchell L. Prevett , Francis K. C. Hui , Zhi Yang Tho , A. H. Welsh , Anton H. Westveld

Trial-based cost-effectiveness analyses (CEAs) are an important source of evidence in the assessment of health interventions. In these studies, cost and effectiveness outcomes are commonly measured at multiple time points, but some…

Methodology · Statistics 2022-03-30 Andrea Gabrio , Catrin Plumpton , Sube Banerjee , Baptiste Leurent

Recent advances in interrupted time series analysis permit characterization of a typical non-linear interruption effect through use of generalized additive models. Concurrently, advances in latent time series modeling allow efficient…

Applications · Statistics 2025-11-11 RJ Waken , Fengxian Wang , Sarah A. Eisenstein , Tim McBride , Kim Johnson , Karen Joynt-Maddox

Mixed-effects models are among the most commonly used statistical methods for the exploration of multispecies data. In recent years, also Joint Species Distribution Models and Generalized Linear Latent Variale Models have gained in…

Computation · Statistics 2025-01-31 Bert van der Veen , Robert Brian O'Hara

Network meta-analysis (NMA) is widely used in healthcare decision-making, where estimates of the effect of multiple treatments on outcomes are required. For time-to-event outcomes such as survival or disease progression the most common…

Methodology · Statistics 2025-09-15 David M. Phillippo , Ayman Sadek , Hugo Pedder , Nicky J. Welton

Nonlinear Mixed effects models are hidden variables models that are widely used in many fields such as pharmacometrics. In such models, the distribution characteristics of hidden variables can be specified by including several parameters…

Methodology · Statistics 2021-10-19 Edouard Ollier

Survival analysis predicts the time until an event of interest, such as failure or death, but faces challenges due to censored data, where some events remain unobserved. Ensemble-based models, like random survival forests and gradient…

Machine Learning · Computer Science 2025-06-10 Lev V. Utkin , Semen P. Khomets , Vlada A. Efremenko , Andrei V. Konstantinov , Natalya M. Verbova

Survival Analysis (SA) constitutes the default method for time-to-event modeling due to its ability to estimate event probabilities of sparsely occurring events over time. In this work, we show how to improve the training and inference of…

Machine Learning · Computer Science 2023-12-12 Chris Solomou

Survival outcomes are common in comparative effectiveness studies and require unique handling because they are usually incompletely observed due to right-censoring. A ``once for all'' approach for causal inference with survival outcomes…

Methodology · Statistics 2021-12-21 Shuxi Zeng , Fan Li , Liangyuan Hu , Fan Li

This article focuses on parameter estimation of multi-levels nonlinear mixed effects models (MNLMEMs). These models are used to analyze data presenting multiple hierarchical levels of grouping (cluster data, clinical trials with several…

Methodology · Statistics 2008-12-18 Xavière Panhard , Adeline Samson

We derive and present explicit algorithms to facilitate streamlined computing for variational inference for models containing higher level random effects. Existing literature, such as Lee and Wand (2016), is such that streamlined…

Computation · Statistics 2020-07-07 Tui H. Nolan , Marianne Menictas , Matt P. Wand

In this paper we propose a novel R package, called rsurv, developed for general survival data simulation purposes. The package is built under a new approach to simulate survival data that depends heavily on the use of dplyr verbs. The…

Computation · Statistics 2024-06-05 Fábio N. Demarqui

Effect modification occurs when the impact of the treatment on an outcome varies based on the levels of other covariates known as effect modifiers. Modeling these effect differences is important for etiological goals and for purposes of…

The mean survival is the key ingredient of the decision process in several applications, notably in health economic evaluations. It is defined as the area under the complete survival curve, thus necessitating extrapolation of the observed…

Applications · Statistics 2026-03-10 Anastasios Apsemidis , Nikolaos Demiris

Frailty models are often the model of choice for heterogeneous survival data. A frailty model contains both random effects and fixed effects, with the random effects accommodating for the correlation in the data. Different estimation…

Methodology · Statistics 2019-09-17 Oodally Ajmal , Luc Duchateau , Estelle Kuhn

Complex biological processes are usually experimented along time among a collection of individuals. Longitudinal data are then available and the statistical challenge is to better understand the underlying biological mechanisms. The…

Statistics Theory · Mathematics 2015-06-11 Pierre Barbillon , Célia Barthélémy , Adeline Samson

Progress in immunotherapy revolutionized the treatment landscape for advanced lung cancer, raising survival expectations beyond those that were historically anticipated with this disease. In the present study, we describe the methods for…

Applications · Statistics 2019-11-25 Lizet Sanchez , Patricia Lorenzo-Luaces , Claudia Fonte , Agustin Lage