Page 14 - Linear Models for the Prediction of Animal Breeding Values 3rd Edition
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familiar with matrix algebra, a section on introductory matrix algebra has been incor-
         porated as Appendix A. It is also assumed that the reader is familiar with the basic
         principles of quantitative genetics.
            Several examples have been used to illustrate the various models for genetic
         evaluation covered in the text, and attempts have been made to present formulae that
         explain how the solutions for random and fixed effects in the models were obtained
         from the mixed model equations. This illustrates to the reader how the various pieces
         of information are weighted to obtain the genetic merit of an animal under various
         models.
            Every attempt has been made to ensure the accuracy of the text, but in the event
         of errors being discovered, please inform the author.
            Professor Robin Thompson contributed the chapter on estimation of variance
         components despite his busy schedule and reviewed the manuscript of earlier editions.
         His contribution is immensely acknowledged. The chapter on genomic selection
         was reviewed by Drs Ben Hayes, Ricardo Pong-Wong and Professor John A.
         Woolliams and I am grateful for their valuable input. Drs Gabor Mészáros and Sue
         Brotherstone reviewed the chapter on survival analysis within a very tight schedule
         and I acknowledge their contribution. I am grateful to Professor Denny Cruz and
         Dr Victor Olori for reviewing the chapters on social interaction and on reducing the
         dimension of multivariate analysis. I am greatly indebted to Professors W.G. Hill
         and Mr G. Swanson for reviewing the manuscript of earlier editions; their com-
         ments and suggestions resulted in substantial improvements in the text. Drs Martin
         Lidauer and Ismo Stranden read specific chapters or sections; I acknowledge their
         useful suggestions. The assistance of Dr Sebastian Mucha in preparing the graphs
         in the text is greatly acknowledged. In addition, experience gained from working
         with Dr Mike Coffey and the late Professors C. Smith and B.W. Kennedy has been
         valuable in writing this book. I also wish to express my thanks to Prof. R.L. Quaas
         for permission to use information from his unpublished note on inbreeding algo-
         rithm; Animal Genetics and Breeding Unit, University of New England, Australia,
         for allowing me to adopt some materials from BLUP Handbook for Chapter 2 of
         the text; and Prof. Fernando R.L. to use some his material from the Iowa State
         University 2010 summer course. My sincere gratitude to my wife, Doris, for her
         immense support, and for typing part of the manuscript. Special thanks to Kevwe,
         Joshua and Esther for their cooperation, especially when I had to take time off to
         prepare the manuscript, and to many dear friends who were of great encouragement.
         Finally, to God be all the glory.

                                                                       R.A. Mrode
                                                            Scotland’s Rural College
                                                 (Former Scottish Agricultural College)
                                                                        Edinburgh












          xiv                                                               Preface
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