Zhou & Stephens (2014) GEMMA multivariate linear mixed model
gemma2 is an implementation in R of the GEMMA v 0.97 EM algorithm that
is part of the GEMMA algorithm for REML estimation of multivariate
linear mixed effects models of the form:
[vec(Y) = X vec(B) + vec(G) + vec(E)]
where (E) is a n by 2 matrix of random effects that follows the
matrix-variate normal distribution
[G \sim MN(0, K, V_g)]
where (K) is a relatedness matrix and (V_g) is a 2 by 2 covariance
matrix for the two traits of interest.
Additionally, the random errors matrix (E) follows the distribution:
[E \sim MN(0, I_n, V_e)]
and (G) and (E) are independent.
To install gemma2, use the devtools R package from CRAN. If you
haven’t installed devtools, please run this line of code:
install.packages("devtools")
Then, run this line of code to install gemma2:
devtools::install_github("fboehm/gemma2")
X. Zhou & M. Stephens. Efficient multivariate linear mixed model
algorithms for genome-wide association studies. Nature Methods volume
11, pages 407–409 (2014). https://www.nature.com/articles/nmeth.2848