Crossed random effects models can simultaneously take into account both fixed and of the subjects stimuli when observations are nested within combinations stimuli. Unfortunately, maximum likelihood estimation (MLE) restricted (REML) often encounter convergence problems, which in turn lead researchers to fit simpler that yield invalid statistical inferences. On other hand, if structure is too si...

IMPORTANCE Narcolepsy, a disorder associated with HLA-DQB1*06:02 and caused by hypocretin (orexin) deficiency, is diagnosed using the Multiple Sleep Latency Test (MSLT) following nocturnal polysomnography (NPSG). In many patients, a short rapid eye movement sleep latency (REML) during the NPSG is also observed but not used diagnostically. OBJECTIVE To determine diagnostic accuracy and clinica...

The performance of Restricted Maximum Likelihood (REML) and Bayesian Markov Chain approaches to study gene expression trends across time were compared. Measurements of performance included the consistent identi cation of cDNAs differentially expressed and not differentially expressed and estimates of changes in cDNA expression across age was investigated. The normalized observations were assume...

The purpose of this study is to present the general concept Bayesian analysis and Markov chain Monte Carlo (MCMC) algorithm make some numerical comparisons with frequentist analyses. A factorial randomized complete-block (RCB) experiment used analyze cowpea data set that has four separate single-column replicates, each containing 9 combinations 3 varieties spacings. Response yield hay. Point es...

In variance component quantitative trait loci (QTL) analysis, a mixed model is used to detect the most likely chromosome position of a QTL. The putative QTL is included as a random effect and a method is needed to estimate the QTL variance. The standard estimation method used is an iterative method based on the restricted maximum likelihood (REML). In this paper, we present a novel non-iterativ...

A data set that was used to estimate covariance components with REML for an animal model with eight measures of ovulation rate treated as separate traits was used as a template to simulate data sets of eight multivariate normal traits that were then truncated to binomial traits. The model for simulation included eight measures on 610 animals with 1,071 animals in the numerator relationship matr...

In this paper we consider two closely related problems : estimation of eigenvalues and eigenfunctions of the covariance kernel of functional data based on (possibly) irregular measurements, and the problem of estimating the eigenvalues and eigenvectors of the covariance matrix for high-dimensional Gaussian vectors. In [23], a restricted maximum likelihood (REML) approach has been developed to d...

We obtain a second order approximation to the mean squared error (MSE), and its estimate, of the empirical or estimated best linear unbiased predictor (EBLUP) of a mixed effect in a general mixed linear normal model. This covers many important small area models in the literature. Unlike previous research in this area, we provide a unified theory of measuring uncertainty of an EBLUP for a comple...