#' @title Variance-Covariance Matrix Projection
#'
#' @description Use a projection of the given variance-covariance matrix.
#'
#' @param VarRubin.matrix A variance-covariance matrix.
#' @param metadata Metadata of the experiment.
#'
#' @return A list of variance-covariance matrices.
#' @references M. Chion, Ch. Carapito and F. Bertrand (2021). \emph{Accounting for multiple imputation-induced variability for differential analysis in mass spectrometry-based label-free quantitative proteomics}. \doi{doi:10.1371/journal.pcbi.1010420}.
#' @export
#'
#' @examples
#' library(mi4p)
#' data(datasim)
#' datasim_imp <- multi.impute(data = datasim[,-1], conditions =
#' attr(datasim,"metadata")$Condition, method = "MLE")
#' VarRubin.matrix <- rubin2.all(datasim_imp[1:5,,],
#' attr(datasim,"metadata")$Condition)
#' proj_matrix(VarRubin.matrix, attr(datasim,"metadata"))
proj_matrix <- function(VarRubin.matrix, metadata) {
return(as.numeric(lapply(VarRubin.matrix, function(aaa){
DesMat = mi4p::make.design(metadata)
max(diag(aaa)%*%t(DesMat)%*%DesMat)
})))
}
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