Journal ArticleDOI
Case-deletion diagnostics for mixed models
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In this article, case-deletion diagnostics for detecting influential observations in mixed linear models are proposed for both fixed effects and variance components, and the methods are illustrated using examples.Abstract:
Mixed linear models arise in many areas of application. Standard estimation methods for mixed models are sensitive to bizarre observations. Such influential observations can completely distort an analysis and lead to inappropriate actions and conclusions. We develop case-deletion diagnostics for detecting influential observations in mixed linear models. Diagnostics for both fixed effects and variance components are proposed. Computational formulas are given that make the procedures feasible. The methods are illustrated using examples.read more
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Journal ArticleDOI
Small Area Estimation: An Appraisal
Malay Ghosh,J. N. K. Rao +1 more
TL;DR: Empirical best linear unbiased prediction as well as empirical and hierarchical Bayes seem to have a distinct advantage over other methods in small area estimation.
Book
Applied Multivariate Analysis
TL;DR: In this article, the Multivariate Normal Distribution, Multivariate Normality, and Covariance Structure were used for one-and two-sample tests to compare the performance of vector and matrix algebra.
Journal ArticleDOI
A comprehensive evaluation of within- and between-worker components of occupational exposure to chemical agents.
TL;DR: A database of approximately 20,000 chemical exposures has been constructed in close co-operation between the School of Public Health of the University of North Carolina at Chapel Hill and the Department of Air Pollution of the Wageningen Agricultural University, and it was shown that environmental and production factors were shown to have distinct influences on the within-worker (day-to-day) variability, but not on the between-worker variability.
Journal ArticleDOI
Mixed model prediction and small area estimation
Jiming Jiang,Partha Lahiri +1 more
TL;DR: In this paper, the authors present a review of the classical inferential approach for linear and generalized linear mixed models that are relevant to different issues concerning small area estimation and related problems, and present a general framework for solving these problems.
Journal ArticleDOI
Local influence in linear mixed models
Emmanuel Lesaffre,Geert Verbeke +1 more
TL;DR: The problem of detecting influential subjects in the context of longitudinal data is considered, following the approach of local influence proposed by Cook.
References
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Book
Introduction to quantitative genetics
TL;DR: The genetic constitution of a population: Hardy-Weinberg equilibrium and changes in gene frequency: migration mutation, changes of variance, and heritability are studied.
Journal ArticleDOI
Detection of influential observation in linear regression
TL;DR: In this article, a measure based on confidence ellipsoids is developed for judging the contribution of each data point to the determination of the least squares estimate of the parameter vector in full rank linear regression models.