Topics on animal model evaluations with an application to somatic cell score in dairy cattle

A block-band system of mixed model equations was proposed for the animal model with multiple genetic factors. The block-band system places non-zero submatrices of the coefficient matrix on the diagonal band, and has only two non-zero submatrices on the right hand side of the mixed model equations. A formulation was derived under certain conditions for REML using diagonal elements of the inverse coefficient matrix. To improve the convergence rate for REML estimation, a simple technique that does not require additional computations was presented. Limitations of the above two techniques were discussed. A property of REML estimation was proven. As a result of applying this property, substantial savings in computations can be achieved.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Animal Sciences

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Da, Yang

Contributors dc:contributor

• Grossman, Michael

• Biology, Biostatistics
• Biology, Genetics

Statement dc:rights

• Copyright 1991 Da, Yang

Language dc:language

eng

Identifier

AAI9210776
(UMI)AAI9210776

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/21381