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We propose a simple single-step multiple testing procedure that asymptotically controls the family-wise error rate (FWER) at the desired level exactly under the equicorrelated multivariate Gaussian setup. The method is shown to be…

Statistics Theory · Mathematics 2025-08-14 Swarnadeep Datta , Monitirtha Dey

General linear models (GLM) are often constructed and used in statistical inference at the voxel level in brain imaging. In this paper, we explore the basics of random fields and the multiple comparisons on the random fields, which are…

Statistics Theory · Mathematics 2020-07-21 Moo K. Chung

We generalize Levene's test for variance (scale) heterogeneity between $k$ groups for more complex data, which includes sample correlation and group membership uncertainty. Following a two-stage regression framework, we show that least…

Methodology · Statistics 2016-05-19 David Soave , Lei Sun

When comparing multiple groups in clinical trials, we are not only interested in whether there is a difference between any groups but rather the location. Such research questions lead to testing multiple individual hypotheses. To control…

Quantitative genetic studies that model complex, multivariate phenotypes are important for both evolutionary prediction and artificial selection. For example, changes in gene expression can provide insight into developmental and…

Applications · Statistics 2013-05-03 Daniel E Runcie , Sayan Mukherjee

We propose a general, modular method for significance testing of groups (or clusters) of variables in a high-dimensional linear model. In presence of high correlations among the covariables, due to serious problems of identifiability, it is…

Statistics Theory · Mathematics 2015-02-12 Jacopo Mandozzi , Peter Bühlmann

In genome wide association studies (GWAS), researchers are often dealing with non-normally distributed traits or a mixture of discrete-continuous traits. However, most of the current region-based methods rely on multivariate linear mixed…

Methodology · Statistics 2021-09-30 Julien St-Pierre , Karim Oualkacha

In this paper, we propose semiparametric efficient estimators of genetic relatedness between two traits in a model-free framework. Most existing methods require specifying certain parametric models involving the traits and genetic variants.…

Methodology · Statistics 2023-06-05 Xu Guo , Yiyuan Qian , Hongwei Shi , Weichao Yang , Niwen Zhou

Despite significant progress in dissecting the genetic architecture of complex diseases by genome-wide association studies (GWAS), the signals identified by association analysis may not have specific pathological relevance to diseases so…

Genomics · Quantitative Biology 2019-07-19 Rong Jiao , Xiangning Chen , Eric Boerwinkle , Momiao Xiong

We consider applying Bayesian Variable Selection Regression, or BVSR, to genome-wide association studies and similar large-scale regression problems. Currently, typical genome-wide association studies measure hundreds of thousands, or…

Applications · Statistics 2011-10-28 Yongtao Guan , Matthew Stephens

Understanding how genetic variants influence cellular-level processes is an important step towards understanding how they influence important organismal-level traits, or "phenotypes", including human disease susceptibility. To this end…

Methodology · Statistics 2013-07-30 Heejung Shim , Matthew Stephens

It is generally acknowledged that most complex diseases are affected in part by interactions between genes and genes and/or between genes and environmental factors. Taking into account environmental exposures and their interactions with…

Applications · Statistics 2014-06-19 Flora Alarcon , Vittorio Perduca , Gregory Nuel

Many important problems in psychology and biomedical studies require testing for overdispersion, correlation and heterogeneity in mixed effects and latent variable models, and score tests are particularly useful for this purpose. But the…

Statistics Theory · Mathematics 2007-06-13 Hongtu Zhu , Heping Zhang

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

Genome-wide association studies, in which as many as a million single nucleotide polymorphisms (SNP) are measured on several thousand samples, are quickly becoming a common type of study for identifying genetic factors associated with many…

Methodology · Statistics 2010-10-25 Charles Kooperberg , Michael LeBlanc , James Y. Dai , Indika Rajapakse

We present an alternative method for genome-wide association studies (GWAS) that is more powerful than the regular GWAS method for locus detection. The regular GWAS method suffers from a substantial multiple-testing burden because of the…

Applications · Statistics 2018-12-19 William Denault , Håkon K. Gjessing , Julius Juodakis , Bo Jacobsson , Astanand Jugessur

Inferring a graphical model or network from observational data from a large number of variables is a well studied problem in machine learning and computational statistics. In this paper we consider a version of this problem that is relevant…

Methodology · Statistics 2013-12-06 Andy Dahl , Victoria Hore , Valentina Iotchkova , Jonathan Marchini

With the advance of high-throughput sequencing technologies, it has become feasible to investigate the influence of the entire spectrum of sequencing variations on complex human diseases. Although association studies utilizing the new…

Methodology · Statistics 2025-08-19 Ming Li , Zihuai He , Min Zhang , Xiaowei Zhan , Changshuai Wei , Robert C Elston , Qing Lu

Many complex disease syndromes such as asthma consist of a large number of highly related, rather than independent, clinical phenotypes, raising a new technical challenge in identifying genetic variations associated simultaneously with…

Machine Learning · Statistics 2008-11-16 Seyoung Kim , Kyung-Ah Sohn , Eric P. Xing

Due to rapid technological advances, a wide range of different measurements can be obtained from a given biological sample including single nucleotide polymorphisms, copy number variation, gene expression levels, DNA methylation and…

Methodology · Statistics 2013-03-29 Christopher Minas , Edward Curry , Giovanni Montana
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