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Linear mixed-effects models are a central analytical tool for modeling hierarchical and longitudinal data, as they allow simultaneous representation of fixed and random sources of variation. In practice, inference for such models is most…

统计方法学 · 统计学 2026-02-12 Hilde Vinje , Lars Erik Gangsei

The R package BiDAG implements Markov chain Monte Carlo (MCMC) methods for structure learning and sampling of Bayesian networks. The package includes tools to search for a maximum a posteriori (MAP) graph and to sample graphs from the…

统计计算 · 统计学 2021-05-04 Polina Suter , Jack Kuipers , Giusi Moffa , Niko Beerenwinkel

Maximum a posteriori (MAP) estimation, like all Bayesian methods, depends on prior assumptions. These assumptions are often chosen to promote specific features in the recovered estimate. The form of the chosen prior determines the shape of…

统计方法学 · 统计学 2022-11-15 Zilai Si , Yucong Liu , Alexander Strang

Case-mix heterogeneity across studies complicates meta-analyses. As a result of this, treatments that are equally effective on patient subgroups may appear to have different effectiveness on patient populations with different case mix. It…

应用统计 · 统计学 2021-08-25 Tat-Thang Vo , Raphael Porcher , Anna Chaimani , Stijn Vansteelandt

Bayesian inference in generalized linear models requires a prior on the coefficient vector $\beta$. Practitioners naturally reason about response probabilities at specific covariate values, not about abstract log-odds parameters. We develop…

统计方法学 · 统计学 2026-03-03 Nick Polson , Vadim Sokolov

Probe-level models have led to improved performance in microarray studies but the various sources of probe-level contamination are still poorly understood. Data-driven analysis of probe performance can be used to quantify the uncertainty in…

计算工程、金融与科学 · 计算机科学 2013-04-09 Leo Lahti , Laura L. Elo , Tero Aittokallio , Samuel Kaski

Existing sequential generalized estimating equation methodology for longitudinal and group-correlated data focuses on narrow hypotheses concerning treatment efficacy and often makes modeling assumptions that impede the desirable robustness…

统计方法学 · 统计学 2026-03-16 Nathan T. Provost , Abdus S. Wahed

Raking is widely used in categorical data modeling and survey practice but faced with methodological and computational challenges. We develop a Bayesian paradigm for raking by incorporating the marginal constraints as a prior distribution…

统计方法学 · 统计学 2020-06-24 Yajuan Si , Peigen Zhou

Bayesian variable selection methods are powerful techniques for fitting and inferring on sparse high-dimensional linear regression models. However, many are computationally intensive or require restrictive prior distributions on model…

统计方法学 · 统计学 2023-10-10 Alexander C. McLain , Anja Zgodic , Howard Bondell

Integrating high-dimensional, heterogeneous data from multi-site cohort studies with complex hierarchical structures poses significant feature selection and prediction challenges. We extend the Bayesian Integrative Analysis and Prediction…

统计方法学 · 统计学 2025-01-30 Aidan Neher , Apostolos Stamenos , Mark Fiecas , Sandra Safo , Thierry Chekouo

The prediction interval has been increasingly used in meta-analyses as a useful measure for assessing the magnitude of treatment effect and between-studies heterogeneity. In calculations of the prediction interval, although the…

统计方法学 · 统计学 2021-07-14 Yuta Hamaguchi , Hisashi Noma , Kengo Nagashima , Tomohide Yamada , Toshi A. Furukawa

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…

统计方法学 · 统计学 2025-11-24 František Bartoš , Suzanne Hoogeveen , Alexandra Sarafoglou , Samuel Pawel

Machine learning (ML) is increasingly being used to support high-stakes decisions. However, there is frequently a construct gap: a gap between the construct of interest to the decision-making task and what is captured in proxies used as…

机器学习 · 计算机科学 2024-06-04 Maria De-Arteaga , Vincent Jeanselme , Artur Dubrawski , Alexandra Chouldechova

Bayes Factors, the Bayesian tool for hypothesis testing, are receiving increasing attention in the literature. Compared to their frequentist rivals ($p$-values or test statistics), Bayes Factors have the conceptual advantage of providing…

统计方法学 · 统计学 2026-01-21 Stavros Nikolakopoulos , Björn Alfons Edmar , Ioannis Ntzoufras

The normal-normal hierarchical model (NNHM) constitutes a simple and widely used framework for meta-analysis. In the common case of only few studies contributing to the meta-analysis, standard approaches to inference tend to perform poorly,…

Posterior sampling allows exploitation of prior knowledge on the environment's transition dynamics to improve the sample efficiency of reinforcement learning. The prior is typically specified as a class of parametric distributions, the…

机器学习 · 计算机科学 2024-04-09 Mirco Mutti , Riccardo De Santi , Marcello Restelli , Alexander Marx , Giorgia Ramponi

In clinical trials, there often exist multiple historical studies for the same or related treatment investigated in the current trial. Incorporating historical data in the analysis of the current study is of great importance, as it can help…

统计方法学 · 统计学 2021-02-02 Huaqing Jin , Guosheng Yin

Bayesian Optimization is methodology used in statistical modelling that utilizes a Gaussian process prior distribution to iteratively update a posterior distribution towards the true distribution of the data. Finding unbiased informative…

机器学习 · 计算机科学 2021-01-05 Ruduan Plug

For log-linear analysis, the hyper Dirichlet conjugate prior is available to work in the Bayesian paradigm. With this prior, the MC3 algorithm allows for exploration of the space of models to try to find those with the highest posterior…

统计计算 · 统计学 2016-12-19 Matthew Friedlander

Major advances have been made regarding the utilization of artificial intelligence in health care. In particular, deep learning approaches have been successfully applied for automated and assisted disease diagnosis and prognosis based on…

统计方法学 · 统计学 2020-03-24 Max Westphal , Antonia Zapf , Werner Brannath