![]() ![]() VSN International Ltd, Hemel Hempstead, HPI 1 ES, UK. (1995) Average Information REML: An Efficient Algorithm for Variance Parameter Estimation in Linear Mixed Models. * **AI algorithm in ASReml**: Gilmour et al. * **First appearance of AI algorithm**: Johnson & Thompson (1995) Restricted Maximum Likelihood Estimation of Variance Components for Univariate Animal Models Using Sparse Matrix Techniques and Average Information. * **Seminal paper for REML**: Patterson & Thompson (1971) Recovery of inter-block information when block sizes are unequal. 1995) to fit the specified (generalised). * ASReml uses REML (Patterson and Thompson, 1971) and AI algorithm and sparse matrix methods (Gilmour et al. * The core algorithm of ASReml by Gilmour et al. *In Statistical Genetics and Plant Breeding* 141-163. * Henderson (1963) Selection index and expected genetic advance. (1959) The Estimation of environmental and genetic trends from records subject to culling. **The formal proof that solutions in Henderson (1949, 1950) are BLUE and BLUP:** * Henderson (1950) Estimation of genetic parameters. ![]() *Journal of Dairy Science (Abstract)* **32** 706 * Henderson (1949) Estimation of changes in herd environment. ![]() # This work by Emi Tanaka is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.Įstimate of fixed effects and prediction of random effects is given by: # These slides may take a while to render properly. # Emi Tanaka School of Mathematics and Statisitcs # Statistical Methods for Omics Assisted Breeding Statistical Methods for Omics Assisted BreedingĬlass: split-60 title-slide2 with-border white ![]()
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