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timflutre / animal-model-basic.R
Last active May 20, 2024 17:33
compare lme4 and rrBLUP to fit an "animal model" (LMM) in R
## Model: a specific kind of linear mixed model known as "animal model" by geneticists
## y = mu 1_N + X b + Z u + e = W a + Z u + e
## y is N x 1; X is N x P; Z is N x Q; W is N x (P+1)
## u ~ Norm_Q(0, sigma_u^2 A); e ~ Norm_N(0, sigma^2 I_N)
## Goal of this document: estimate the variance components sigma_u^2 and sigma^2
## 1) simulate some data
## 2) fit the model above using the package rrBLUP (v4.3, on CRAN)
## 3) fit the model above using lme4 (v1.7, on CRAN)
## Author: Timothée Flutre (INRA)