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The behavior of Bayesian model averaging (BMA) for the normal linear regression model in the presence of influential observations that contribute to model misfit is investigated. Remedies to attenuate the potential negative impacts of such…

Methodology · Statistics 2021-11-23 Christopher M. Hans , Mario Peruggia , Junyan Wang

DNA microarrays are a relatively new technology that can simultaneously measure the expression level of thousands of genes. They have become an important tool for a wide variety of biological experiments. One of the most common goals of DNA…

Methodology · Statistics 2013-07-02 Eric Bair

Replication studies are essential for assessing the credibility of claims from original studies. A critical aspect of designing replication studies is determining their sample size; a too small sample size may lead to inconclusive studies…

Methodology · Statistics 2023-08-14 Samuel Pawel , Guido Consonni , Leonhard Held

Time-course gene expression datasets provide insight into the dynamics of complex biological processes, such as immune response and organ development. It is of interest to identify genes with similar temporal expression patterns because…

Simulation-based Bayesian inference (SBI) methods are widely used for parameter estimation in complex models where evaluating the likelihood is challenging but generating simulations is relatively straightforward. However, these methods…

Bayesian inference is optimal when the statistical model is well-specified, while outside this setting Bayesian inference can catastrophically fail; accordingly a wealth of post-Bayesian methodologies have been proposed. Predictively…

Survival models incorporating random effects to account for unmeasured heterogeneity are being increasingly used in biostatistical and applied research. Specifically, unmeasured covariates whose lack of inclusion in the model would lead to…

Methodology · Statistics 2020-05-06 Alessandro Gasparini , Mark S. Clements , Keith R. Abrams , Michael J. Crowther

Motivated by the important problem of detecting association between genetic markers and binary traits in genome-wide association studies, we present a novel Bayesian model that establishes a hierarchy between markers and genes by defining…

Applications · Statistics 2016-06-22 Ian Johnston , Timothy Hancock , Hiroshi Mamitsuka , Luis Carvalho

Autocovariance of the error term in a time series model plays a key role in the estimation and inference for the model that it belongs to. Typically, some arbitrary parametric structure is assumed upon the error to simplify the estimation,…

Methodology · Statistics 2022-10-17 Yoon Bae Jun , Chae Young Lim , Kun Ho Kim

Due to the rapid development of high-throughput experimental techniques and fast-dropping prices, many transcriptomic datasets have been generated and accumulated in the public domain. Meta-analysis combining multiple transcriptomic studies…

Applications · Statistics 2019-05-17 Zhiguang Huo , Chi Song , George Tseng

In the genomic era, the identification of gene signatures associated with disease is of significant interest. Such signatures are often used to predict clinical outcomes in new patients and aid clinical decision-making. However, recent…

Methodology · Statistics 2019-03-27 Naim U. Rashid , Quefeng Li , Jen Jen Yeh , Joseph G. Ibrahim

In many transcriptomic studies, the correlation of genes might fluctuate with quantitative factors such as genetic ancestry. We propose a method that models the covariance between two variables to vary against a continuous covariate. For…

Methodology · Statistics 2021-05-03 Tae Hyun Kim , Dan Nicolae

Network models provide a powerful framework for analysing single-cell count data, facilitating the characterisation of cellular identities, disease mechanisms, and developmental trajectories. However, uncertainty modeling in unsupervised…

Genomics · Quantitative Biology 2026-04-27 Shanshan Ren , Thomas E. Bartlett , Lina Gerontogianni , Swati Chandna

In many longitudinal microarray studies, the gene expression levels in a random sample are observed repeatedly over time under two or more conditions. The resulting time courses are generally very short, high-dimensional, and may have…

Applications · Statistics 2013-02-26 Maurice Berk , Cheryl Hemingway , Michael Levin , Giovanni Montana

Subgroup analysis is a frequently used tool for evaluating heterogeneity of treatment effect and heterogeneity in treatment harm across observed baseline patient characteristics. While treatment efficacy and adverse event measures are often…

Applications · Statistics 2018-08-14 Nicholas C. Henderson , Ravi Varadhan

There are many issues that can cause problems when attempting to infer model parameters from data. Data and models are both imperfect, and as such there are multiple scenarios in which standard methods of inference will lead to misleading…

Computation · Statistics 2024-05-01 Simon L. Cotter

Bayesian adaptive experimental design is a form of active learning, which chooses samples to maximize the information they give about uncertain parameters. Prior work has shown that other forms of active learning can suffer from active…

Motivation: Recent advances in technology for brain imaging and high-throughput genotyping have motivated studies examining the influence of genetic variation on brain structure. Wang et al. (Bioinformatics, 2012) have developed an approach…

Methodology · Statistics 2016-10-18 Keelin Greenlaw , Elena Szefer , Jinko Graham , Mary Lesperance , Farouk S. Nathoo

We present a coherent Bayesian framework for selection of the most likely model from the five genetic models (genotypic, additive, dominant, co-dominant, and recessive) commonly used in genetic association studies. The approach uses a…

Methodology · Statistics 2015-04-22 Harold Bae , Thomas Perls , Martin Steinberg , Paola Sebastiani

In a meta-analysis, it is important to specify a model that adequately describes the effect-size distribution of the underlying population of studies. The conventional normal fixed-effect and normal random-effects models assume a normal…

Methodology · Statistics 2013-10-21 George Karabatsos , Elizabeth Talbott , Stephen G. Walker
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