This paper considers ways to increase computational speed in generalized linear mixed pseudo-models for the case of many repeated measurements on subjects. We obtain linearly increasing computing timewith number of observations, as opposed to O(n3) increasing computing time using numerical optimization. We also find a surprising result; that incomplete optimization for covariance parameterswith...

Light meromyosin (LMM), prepared by limited tryptic digestion of myosin, usually contains several polypeptide chains, LMM-A, LMM-B, and LMM-C in decreasing order of molecular weight estimated from sodium dodecyl sulfate-gel electrophoresis. Further limited tryptic digestion of LMM produces well defined fragments (Balint, M., Szilagyi, L., Fekete, Gy., Blazso, M., and Biro, E. N. A. J. Mol. Biol...

Increasingly, scientific studies yield functional data, in which the ideal units of observation are curves and the observed data consist of sets of curves that are sampled on a fine grid. We present new methodology that generalizes the linear mixed model to the functional mixed model framework, with model fitting done by using a Bayesian wavelet-based approach. This method is flexible, allowing...

Generalized linear mixed models are popular to regress a discrete response when there is clustering, e.g. in longitudinal studies or in hierarchical data structures. It is standard to assume that the random effects have a normal distribution. Recently, it has been examined whether wrongly assuming a normal distribution for the random effects is important for the estimation of the fixed effects ...

This article presents a new investigation to the linear mixed model y = Xβ + Zγ + ε with fixed effect Xβ and random effect Zγ under a general assumption via some novel algebraic tools in matrix theory, and reveals a variety of deep and profound properties hidden behind the linear mixed model. We first derive exact formulas for calculating the best linear unbiased predictor (BLUP) of a general v...

Recent changes in higher education, especially associated with its massification, have led to calls for more accountability and to an increasing need to evaluate universities' performance. However, comparing universities with different subject mixes poses some significant problems. In this article, a linear mixed effect model methodology allowing for random effects at university level is used t...

Joint models for a wide class of response variables and longitudinal measurements consist on a mixed-effects model to fit longitudinal trajectories whose random effects enter as covariates in a generalized linear model for the primary response. They provide a useful way to assess association between these two kinds of data, which in clinical studies are often collected jointly on a series of in...

.............................................................................................................................. .i APPENDED PAPERS ............................................................................................................... ii PAPERS NOT INCLUDED IN THIS THESIS........................................................................ iii DIVISION OF WORK BETWEEN ...

Postcollision-interaction (PCI) effects involving multistep decay processes following Ar $1s$ photoionization has been studied by Auger electron spectroscopy. The experiment focused on $LMM$ electrons measured in small photon energy steps across the threshold. Decay pathways that we include (1) ${\mathrm{Ar}}^{+*}2{p}^{--1}\ensuremath{\rightarrow}{\mathrm{Ar}}^{2+}3{p}^{--2}$ LMM\ensuremath{\al...