Journal ArticleDOI
Approximate inference in generalized linear mixed models
Norman E. Breslow,D. G. Clayton +1 more
TLDR
In this paper, generalized linear mixed models (GLMM) are used to estimate the marginal quasi-likelihood for the mean parameters and the conditional variance for the variances, and the dispersion matrix is specified in terms of a rank deficient inverse covariance matrix.Abstract:
Statistical approaches to overdispersion, correlated errors, shrinkage estimation, and smoothing of regression relationships may be encompassed within the framework of the generalized linear mixed model (GLMM). Given an unobserved vector of random effects, observations are assumed to be conditionally independent with means that depend on the linear predictor through a specified link function and conditional variances that are specified by a variance function, known prior weights and a scale factor. The random effects are assumed to be normally distributed with mean zero and dispersion matrix depending on unknown variance components. For problems involving time series, spatial aggregation and smoothing, the dispersion may be specified in terms of a rank deficient inverse covariance matrix. Approximation of the marginal quasi-likelihood using Laplace's method leads eventually to estimating equations based on penalized quasilikelihood or PQL for the mean parameters and pseudo-likelihood for the variances. Im...read more
Citations
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Journal ArticleDOI
Robust estimation in generalized linear mixed models
TL;DR: In this paper, the authors proposed robust estimation methods for maximum quasi-likelihood and residual maximum likelihood estimation to limit the influence of outlying observations in generalized linear mixed models (GLMMs).
Journal ArticleDOI
Effects of Accommodations on High-Stakes Testing for Students with Reading Disabilities
Jack M. Fletcher,Jack M. Fletcher,David J. Francis,Amy Boudousquie,Kim Copeland,Victoria Young,Sharon Kalinowski,Sharon Vaughn +7 more
TL;DR: The interaction hypothesis as discussed by the authors proposes that valid test accommodations benefit only those with disabilities and shows that accommodations designed for a clearly defined academic disability can enhance performance on a high-stakes assessment.
Journal ArticleDOI
Mapping and Measuring Social Disparities in Premature Mortality: The Impact of Census Tract Poverty within and across Boston Neighborhoods, 1999–2001
Jarvis T. Chen,David H. Rehkopf,Pamela D. Waterman,Sankaran Subramanian,Brent A. Coull,Bruce M. Cohen,Mary Ostrem,Nancy Krieger +7 more
TL;DR: A systematic analysis of spatial variation in premature mortality in Boston (1999–2001) across neighborhoods and sub-neighborhoods in relation to census tract (CT) poverty is undertook.
Journal ArticleDOI
Solid renal tumor severity in von Hippel Lindau disease is related to germline deletion length and location
Jodi K. Maranchie,Anoushka Afonso,Paul S. Albert,Sivaram Kalyandrug,John Phillips,Shubo Zhou,James Peterson,Bijan M. Ghadimi,Katheen Hurley,Joseph Riss,James R. Vasselli,Thomas Ried,Berton Zbar,Peter L. Choyke,McClellan M. Walther,Richard D. Klausner,W. Marston Linehan +16 more
TL;DR: Clinically, there is a paradoxically lower prevalence of renal cell carcinoma (RCC) in patients with complete germline deletion of VHL and deletion mapping revealed that development of RCC had an even greater correlation with retention of HSPC300 (C3orf10), located within the 30‐kb region of chromosome 3p, immediately telomeric to VHL.
Journal ArticleDOI
Efficient Variant Set Mixed Model Association Tests for Continuous and Binary Traits in Large-Scale Whole-Genome Sequencing Studies.
Han Chen,Jennifer E. Huffman,Jennifer A. Brody,Chaolong Wang,Seunggeun Lee,Zilin Li,Stephanie M. Gogarten,Tamar Sofer,Lawrence F. Bielak,Joshua C. Bis,John Blangero,Russell P. Bowler,Brian E. Cade,Michael H. Cho,Adolfo Correa,Joanne E. Curran,Paul S. de Vries,David C. Glahn,Xiuqing Guo,Andrew D. Johnson,Sharon L.R. Kardia,Charles Kooperberg,Joshua P. Lewis,Xiaoming Liu,Rasika A. Mathias,Braxton D. Mitchell,Jeffrey R. O'Connell,Patricia A. Peyser,Wendy Post,Alex P. Reiner,Stephen S. Rich,Jerome I. Rotter,Edwin K. Silverman,Jennifer A. Smith,Ramachandran S. Vasan,James G. Wilson,Lisa R. Yanek,TOPMed Hematology,S Redline,Nicholas L. Smith,Eric Boerwinkle,Ingrid B. Borecki,L. Adrienne Cupples,Cathy C. Laurie,Alanna C. Morrison,Kenneth M. Rice,Xihong Lin +46 more
TL;DR: This paper proposes the variant-set mixed model association tests (SMMAT) for continuous and binary traits using the generalized linear mixed model framework, and shows that all the proposed SMMATs correctly control type I error rates for both continuous andbinary traits in the presence of population structure and relatedness.
References
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Journal ArticleDOI
Maximum likelihood from incomplete data via the EM algorithm
Book
Generalized Linear Models
Peter McCullagh,John A. Nelder +1 more
TL;DR: In this paper, a generalization of the analysis of variance is given for these models using log- likelihoods, illustrated by examples relating to four distributions; the Normal, Binomial (probit analysis, etc.), Poisson (contingency tables), and gamma (variance components).
Journal ArticleDOI
Longitudinal data analysis using generalized linear models
Kung Yee Liang,Scott L. Zeger +1 more
TL;DR: In this article, an extension of generalized linear models to the analysis of longitudinal data is proposed, which gives consistent estimates of the regression parameters and of their variance under mild assumptions about the time dependence.