This tutorial demonstrates how to use the SEAGLE package when the user inputs ${\bf y}$, ${\bf X}$, ${\bf E}$, and ${\bf G}$ from .txt files. We'll begin by loading the SEAGLE package.
knitr::opts_chunk$set( collapse = TRUE, comment = "#>" )
library(SEAGLE)
If you have your own files ready to read in for ${\bf y}$, ${\bf X}$, ${\bf E}$, and ${\bf G}$, you can read them into R using the read.csv() command.
As an example, we've included y.txt, X.txt, E.txt, and G.txt files in the extdata folder of this package. The following code loads those files into R so we can use them in this tutorial.
y_loc <- system.file("extdata", "y.txt", package = "SEAGLE") y <- as.numeric(unlist(read.csv(y_loc))) X_loc <- system.file("extdata", "X.txt", package = "SEAGLE") X <- as.matrix(read.csv(X_loc)) E_loc <- system.file("extdata", "E.txt", package = "SEAGLE") E <- as.numeric(unlist(read.csv(E_loc))) G_loc <- system.file("extdata", "G.txt", package = "SEAGLE") G <- as.matrix(read.csv(G_loc))
Now we can input ${\bf y}$, ${\bf X}$, ${\bf E}$, and ${\bf G}$ into the prep.SEAGLE function. The intercept = 1 parameter indicates that the first column of ${\bf X}$ is the all ones vector for the intercept.
This preparation procedure formats the input data for the SEAGLE function by checking the dimensions of the input data. It also pre-computes a QR decomposition for $\widetilde{\bf X} = \begin{pmatrix} {\bf 1}{n} & {\bf X} & {\bf E} \end{pmatrix}$, where ${\bf 1}{n}$ denotes the all ones vector of length $n$.
objSEAGLE <- prep.SEAGLE(y=as.matrix(y), X=X, intercept=1, E=E, G=G)
Finally, we'll input the prepared data into the SEAGLE function to compute the score-like test statistic $T$ and its corresponding p-value. The init.tau and init.sigma parameters are the initial values for $\tau$ and $\sigma$ employed in the REML EM algorithm.
res <- SEAGLE(objSEAGLE, init.tau=0.5, init.sigma=0.5) res$T res$pv
The score-like test statistic $T$ for the G$\times$E effect and its corresponding p-value can be found in res$T and res$pv, respectively.
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