Robust Restricted Maximum Likelihood in Mixed Linear Models
SUMMARY Definitions of robust maximum likelihood (robust ML) and robust restricted maximum likelihood (robust REML) are introduced, and the definitions are applied to data from biological and chemical experiments. A simulation study is undertaken to investigate the asymptotic properties of robust ML and robust REML in small samples and to examine the ...
Welsh, Alan, Richardson, Alice
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Estimating variances and covariances for multivariate animal models by restricted maximum likelihood [PDF]
Summary — Restricted maximum likelihood estimates of variance and covariance components can be obtained by direct maximization of the associated likelihood using standard, derivative-free optimization procedures. In general, this requires a multi-dimensional search and numerous evaluations of the (log) likelihood function.
Meyer K
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Small Sample Inference for Fixed Effects from Restricted Maximum Likelihood
Restricted maximum likelihood (REML) is now well established as a method for estimating the parameters of the general Gaussian linear model with a structured covariance matrix, in particular for mixed linear models. Conventionally, estimates of precision and inference for fixed effects are based on their asymptotic distribution, which is known to be ...
Kenward, M. G., Roger, J. H.
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The use of generalized inverses in restricted maximum likelihood
The calculus of generalized inverses and related concepts in matrix algebra is applied to the general restricted maximum likelihood problem. Some new results on g-inverses, Kronecker products, and matrix differentials are presented. For the restricted maximum likelihood problem we obtain generalizations of the well-known results of \textit{J. Aitchison}
F.J. Henk Don, Henk Don, F.J.
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Estimation of genetic and phenotypic parameters of logistic growth curve and their inter-relationship in Zandi Sheep [PDF]
Introduction Growth, defined as changes of body weight over time, is an economically important trait in sheep that directly determines meat production.Increase in live weight or dimension against age has been described as growth.
Saeed Neysi +3 more
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CORRELATION STUDIES ON SIRE BEST LINEAR UNBIASED PREDICTION VALUES AND RANKS OF MEHALLAH 85 TURKEY PERTAINING BODY WEIGHT AND CONFORMATION MEASURES [PDF]
Data of body weight and conformation measures (i.e. length of keel, KL; shank, SL and breast width, BRW) of 1103 Mehallah 85 turkey offspring were analyzed using Restricted Maximum Likelihood (REML) under Mixed Model Equations.
M. Mostafa,
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Variance component analysis of growth and production traits in Vanaraja male line chickens using animal model [PDF]
Objective A comprehensive study was conducted to study the effects of partition of variance on accuracy of genetic parameters and genetic trends of economic traits in Vanaraja male line/project directorate-1 (PD-1) chicken.
Rajkumar Ullengala +4 more
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On the inefficiency of the restricted maximum likelihood [PDF]
The restricted maximum likelihood is preferred by many to the full maximum likelihood for estimation with variance component and other random coefficient models, because the variance estimator is unbiased. It is shown that this unbiasedness is accompanied in some balanced designs by an inflation of the mean squared error.
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Restricted Likelihood Ratio Testing in Linear Mixed Models with General Error Covariance Structure [PDF]
We consider the problem of testing for zero variance components in linear mixed models with correlated or heteroscedastic errors. In the case of independent and identically distributed errors, a valid test exists, which is based on the exact finite ...
Sonja Greven +5 more
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TopREML: a topological restricted maximum likelihood approach to regionalize trended runoff signatures in stream networks [PDF]
We introduce topological restricted maximum likelihood (TopREML) as a method to predict runoff signatures in ungauged basins. The approach is based on the use of linear mixed models with spatially correlated random effects.
M. F. Müller, S. E. Thompson
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