2011 Summer Institute in Statistical Genetics, Seattle, Washington: Mixed Models in Quantitative Genetics

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since 1 July 2011

INSTRUCTORS:

• William Muir, Department of Animal Sciences, Purdue University bmuir@purdue.edu

• Bruce Walsh, Department of Ecology & Evolutionary Biology, University of Arizona. jbwalsh@u.arizona.edu

NOTES:

1. Lecture 1: Introduction to Matrix Algebra and Calculus (Walsh)
   • Additional handouts:
     • Matrix geometry
     • Matrix derivatives
     • Simple matrix calculations in R

2. Lecture 2: The General Linear Model (Walsh)
   • Additional handouts:
     • Introduction to Bayesian Stats
     • MCMC

3. Lecture 3: Overview and Derivation of the mixed model (Muir)

4. Lecture 4: Application: BLUP breeding values (Muir)

5. Lecture 5: Application: Genomic selection (Muir)

6. Lecture 6: Application: QTL/Association Mapping (Walsh)

7. Lecture 7: Maternal genetic effects (Muir) ---- BLUP maternal genetic effects (Walsh)

8. Lecture 8: Application: Associative effects (Muir)

9. Lecture 9: Application: G x E (Walsh)

   Other Material

   • SAS Codes For Muir Examples
     • Blup by Proc-IML
     • Blup Maternal Environmental effects
     • Blup Cytoplasmic Effects
     • Blup sex limited traits
     • Blup Maternal Genetic effects
     • Blup maternal genetic and maternal environmental effects
     • Blup Competitive effects

   • Excell Codes for Muir Examples
     • A matrix calculation
     • Phenotypic BLUP
     • Genomic selection using the marker relationship matrix
     • Genomic selection using estimated marker effects

   • As Requested..
     • Powerpoint of The Beauty of Mathematics