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#' mi4p: Multiple imputation for proteomics
#'
#' Imputing missing values is common practice in label-free quantitative
#' proteomics. Imputation replaces a missing value by a user-defined one.
#' However, the imputation itself is not optimally considered downstream of the
#' imputation process. In particular, imputed datasets are considered as if
#' they had always been complete. The uncertainty due to the imputation is not
#' properly taken into account. Hence, the mi4p package provides a more
#' accurate statistical analysis of multiple-imputed datasets. A rigorous
#' multiple imputation methodology is implemented, leading to a less biased
#' estimation of parameters and their variability thanks to Rubin’s rules. The
#' imputation-based peptide’s intensities’ variance estimator is then moderated
#' using Bayesian hierarchical models. This estimator is finally included in
#' moderated t-test statistics to provide differential analyses results.
#'
#' @docType package
#' @name mi4p-package
#' @aliases mi4p-package mi4p
#' @author This package has been written by Marie Chion, Christine Carapito and
#' Frederic Bertrand.
#' Maintainer: <frederic.bertrand@@utt.fr>
#'
#' @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}. arxiv:2108.07086.
#' \url{https://arxiv.org/abs/2108.07086}.
#'
#' M. Chion, Ch. Carapito, F. Bertrand. Towards a more accurate differential
#' analysis of multiple imputed proteomics data with mi4limma. Statistical
#' Analysis of Proteomic Data: Methods and Tools, 2022. hal-03442944
#' \url{https://hal.archives-ouvertes.fr/hal-03442944}
#'
#' @keywords package
#'
#' @importFrom stats lm median pchisq pf pt vcov
#' @importFrom foreach %dopar%
#' @importFrom stats rnorm
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