Course detail

LCE5714 - Mixed Models and Variance Components


Credit hours

In-class work
per week
Practice
per week
Credits
Duration
Total
3
1
8
15 weeks
120 hours

Instructor
Clarice Garcia Borges Demetrio
Cristian Marcelo Villegas Lobos

Objective
Enable the student to define mixed models, to calculate the expectation of mean squares or to use the Hasse diagrams to get them. Enable the student to make applications of variance components, using R and SAS softwares.

Content
Mixed model definition. Expectation of mean squares for completely randomized designs, randomized complete block designs, latin saquare designs, split-plot designs, hierarchical designs and series of experiments. Hasse Diagram. Estimation methods (moment method, maximum likelihood, restricted maximum likelihood) for variance components. Hypotheses testing and confidence intervals for variance components. Aplications in sampling and breeding.

Bibliography
ANDERSON, R.L.; BANCROFT, T.A. - Statistical Theory in Research, McGraw-Hill, Nova Iorque. 1952.
BARBIN, D. Componentes de Variância - Teoria e Aplicações. 2ª ed. FEALQ, Piracicaba, SP. 1993. 120p.
BIOMETRICS. Washington, Volume 7, nº 1. 1951.
COX, D.R.; SOLOMON, P.J. Components of Variance. Chapman & Hall/CRC, Londres. 2003.
DEMIDENKO, E. Mixed Models. Theory and Applications. John Wiley, Nova Iorque. 2004.
GALWEY, N.W. Introduction to Mixed Modelling. Beyond Regression and Analysis of Variance. John Wiley, Sussex. 2008.
HICKS, C.R. Fundamental Concepts in the Design of Experiments. Holt Rinehart and Winston, Nova Iorque. 1973.
KEMPTHORNE, O. An Introduction to Genetic Statistics, John Wiley, Nova Iorque. 1969.
KEMPTHORNE, O. Design and Analysis of Experiments, John Wiley, Nova Iorque. 1967.
LITTELL, R.C.; MILLIKEN, G.A.; STROUP, W.W.; WOLFINGER, R.D.; SCHABENBERGER, O. SAS for mixed models. SAS Institute Inc., Cary. 2006.
McCULLOCH, C.E.; SEARLE, S.S.; NEUHAUS, J.M. Generalized, Linear and Mixed Models. John Wiley, Nova Iorque. 2008.
MULLER, K.E.; Stewart, P.W. Linear Model Theory: Univariate, Multivariate, and Mixed Models John Wiley, Nova Iorque. 2006.
RAO, P.S.R.S. Variance Components Estimation. Mixed Models, Methodologies and Applications. Chapman & Hall/CRC, Londres. 1997.
SCHABENBERGER, O; PIERCE, F.J. Contemporary Statistical Models for the Plant and Soi Sciences. Taylor & Francis, Londres. 2001.
SEARLE, S.R. - Linear Models, John Wiley, Nova Iorque. 1997.
SEARLE, S.R.; CASELA, G.; McCULLOCH, C.E. Variance Components. John Wiley, Nova Iorque. 1992.
WELHAM, S.J.; GEZAN, S.A.; CLARK, S.J.; MEAD, A. Statistical Methods in Biology. Design and Analysis of Experiments and Regression. CRC Press, Londres. 2015.
WEST, B.; WELCH, K.B; GALECKI, A.T. Linear Mixed Models: A Practical Guide Using Statistical Software. Chapman & Hall/CRC, Londres. 2006.