Animal Breeding Notes
Unibreed Models
- CHAPTER 01: Definitions and Elementary Matrix Operations (.pdf 198KB)
- CHAPTER 02: Linear Dependence, Matrix Inverses, and Consistency of Linear Equations. (.pdf 248KB)
- CHAPTER 03: Eigenvalues, Eigenvectors, and Diagonalization of a Square Matrix. (.pdf 247KB)
- CHAPTER 04: Definite Matrices. (.pdf 197KB)
- CHAPTER 05: Differential Calculus in Matrix Notation. (.pdf 134KB)
- CHAPTER 06: Distribution Functions of Random Variables. (.pdf 200KB)
- CHAPTER 07: Expectation and Covariances of Random Variables and Random Vectors. (.pdf 418KB)
- CHAPTER 08: Best Prediction. (.pdf 277KB)
- CHAPTER 09: Best Linear Prediction. (.pdf 162KB)
- CHAPTER 10: Best Linear Unbiased Prediction. (.pdf 370KB)
- CHAPTER 11: The Mixed Linear Model. (.pdf 387KB)
- CHAPTER 12: Estimation, Estimability and Solving the Mixed Model Equations When They Are Not Full-Rank. (.pdf 285KB)
- CHAPTER 13: Genetic Covariances Between Individuals. (.pdf 156KB)
- CHAPTER 14: The Matrix of Additive Relationships And Its Inverse. (.pdf 517KB)
- CHAPTER 15: Sire-Maternal Grandsire Approximation to the Matrix off Additive Relationships and it's Inverse. (.pdf 224KB)
- CHAPTER 16: Animal and Reduced Animal Models. (.pdf 401KB)
- CHAPTER 17: Approximations to the Animal Model. (.pdf 312KB)
- CHAPTER 18: Repeatability Models. (.pdf 302KB)
- CHAPTER 19: Direct and Maternal Genetic Effects Models. (.pdf 189KB)
- a. SAS IML Program (.pdf 21KB)
- b. SAS IML Output (.mht)
- CHAPTER 20: Additive Genetic Group Models. (.pdf 276KB)
- CHAPTER 21: Multiple Trait Models (.pdf 340KB)