R/analysis_on_quantification.R

In ASICS: Automatic Statistical Identification in Complex Spectra

#' Format data for analysis
#'
#' Create an object of class \code{\link{SummarizedExperiment}} to use in
#' functions \code{\link{pca}}, \code{\link{oplsda}} or
#' \code{\link{kruskalWallis}}.
#'
#' @param data A data frame containing omics dataset with samples in columns and
#' features of interest in rows (metabolites/buckets...).
#' @param design A data frame describing the colums of \code{data} with at
#' least two columns, the first one corresponding to the column names of
#' \code{data}. Default to NULL (in which case, the column names of \code{data}
#' are used for study design).
#' @param feature_info A data frame describing the rows of \code{data} with
#' at least two columns, the first one corresponding to the row names of
#' \code{data}. Default to NULL (in which case, the row names of \code{data} are
#' used for feature information).
#' @param zero.threshold Remove features having a proportion of zeros larger
#' than or equal to \code{zero.threshold}. Default to \code{100}.
#' @param zero.group Variable name of design data frame specifying the group
#' variable used to remove features with a proportion of zeros larger than or
#' equal to \code{zero.threshold} within the group. Default to \code{NULL}, no
#' group.
#' @param outliers Names of the outliers (samples) to remove.
#'
#' @return An object of type \code{\link{SummarizedExperiment}} with metabolite
#' data given as buckets or quantified metabolites.
#'
#' @examples
#' # Import quantification results
#' if (require("ASICSdata", quietly = TRUE)) {
#'   quantif_path <- system.file("extdata", "results_ASICS.txt",
#'                               package = "ASICSdata")
#'   quantification <- read.table(quantif_path, header = TRUE, row.names = 1)
#'
#'   # Import design
#'   design <- read.table(system.file("extdata", "design_diabete_example.txt",
#'                                    package = "ASICSdata"), header = TRUE)
#'
#'   # Create object for analysis and remove features with more than 25% of
#'   # zeros
#'   analysis_obj <- formatForAnalysis(quantification,
#'                                     design = design,
#'                                     zero.threshold = 25,
#'                                     zero.group = "condition")
#' }
#'
#' @importFrom SummarizedExperiment SummarizedExperiment
#' @export
formatForAnalysis <- function(data, design = NULL, feature_info = NULL,
                              zero.threshold = 100, zero.group = NULL,
                              outliers = NULL){

  if ((is.null(design) & !is.null(zero.group)) |
      (!is.null(design) && !is.null(zero.group) &&
       !(zero.group %in% colnames(design)))) {
    stop("'zero.group' must be a variable name of the design data frame")
  }

  # if design and feature_info are NULL use rownames and colnames
  # else same order than for data
  if (is.null(design)) {
    design <- data.frame(sample.name = colnames(data))
  } else {
    if (!all(colnames(data) %in% design[, 1])){
      stop(paste("First column of 'design' matrix must contain all",
                 "colnames of 'data' matrix."))
    }
    design <- design[design[, 1] %in% colnames(data), ]
    design <- design[match(colnames(data), design[, 1]), ]
  }
  if (is.null(feature_info)) {
    feature_info <- data.frame(feature.name = rownames(data))
  } else {
    if (!all(rownames(data) %in% feature_info[, 1])){
      stop(paste("First column of 'feature_info' matrix must contain all",
                 "rownames of 'data' matrix."))
    }
    feature_info <- feature_info[feature_info[, 1] %in% rownames(data), ]
    feature_info <- feature_info[match(rownames(data), feature_info[, 1]), ]
  }

  raw_data <- SummarizedExperiment(assays = as.matrix(data),
                                   rowData = feature_info,
                                   colData = design)

  # clean data
  clean_data <- raw_data
  if (zero.threshold != 100) {
    if (is.null(zero.group)) {
      zero_percent <- apply(assay(clean_data, 1), 1,
                            function(x) sum(x == 0)/length(x))
      to_remove <- zero_percent >= zero.threshold / 100

      clean_data <- clean_data[!to_remove, ]
    } else {
      zero_percent <- apply(assay(clean_data, 1), 1,
                            function(x) by(x, colData(clean_data)[, zero.group],
                                           function(z) sum(z == 0)/length(z)))
      to_remove <- apply(zero_percent, 2,
                         function(x) all(x >= zero.threshold / 100))

      clean_data <- clean_data[!to_remove, ]
    }
  }
  if (!is.null(outliers)) {
    clean_data <- clean_data[, !(colData(clean_data)[, 1] %in% outliers)]
  }

  return(clean_data)
}


#' Principal Component Analysis (PCA) on a \code{\link{SummarizedExperiment}}
#' object
#'
#' Perform a PCA with the function of the \code{\link{ropls}} package on a
#' \code{\link{SummarizedExperiment}} object obtained from the
#' \code{\link{formatForAnalysis}} function
#'
#' @param analysis_data A \code{\link{SummarizedExperiment}} object obtained
#' from the \code{\link{formatForAnalysis}} function.
#' @param scale.unit Logical. If \code{TRUE}, data are scaled to unit variance
#' prior PCA.
#' @param type.data Type of data used for the analysis (\emph{e.g.,}
#' \code{"quantifications"}, \code{"buckets"}...). Default to
#' \code{"quantifications"}.
#' @param condition The name of the design variable (two level factor)
#' specifying the groups, if one is available. Default to NULL, no group
#' provided.
#'
#' @return A S4 object of class \linkS4class{AnalysisResults} containing PCA
#' results.
#' @seealso \linkS4class{AnalysisResults}
#'
#' @examples
#' # Import quantification results
#' if (require("ASICSdata", quietly = TRUE)) {
#'   quantif_path <- system.file("extdata", "results_ASICS.txt",
#'                               package = "ASICSdata")
#'   quantification <- read.table(quantif_path, header = TRUE, row.names = 1)
#'
#'   # Create object for analysis and remove features with more than 25% of
#'   # zeros
#'   analysis_obj <- formatForAnalysis(quantification, zero.threshold = 25)
#'   res_pca <- pca(analysis_obj)
#' }
#'
#' @importFrom ropls opls
#' @importFrom SummarizedExperiment assay colData
#' @importFrom gridExtra grid.arrange
#' @export
pca <- function(analysis_data, scale.unit = TRUE,
                type.data = "quantifications", condition = NULL){

  if (!(is.null(condition)) &&
      !(condition %in% names(colData(analysis_data)))) {
    stop("'condition' must be a variable name of the design data frame")
  }

  if (scale.unit) {
    scale_unit <- "standard"
  } else {
    scale_unit <- "none"
  }

  # PCA
  resPCA <- opls(x = t(assay(analysis_data, 1)),
                 predI = min(10, dim(analysis_data)[2]), scaleC = scale_unit,
                 info.txtC = NULL, fig.pdfC = NULL)

  resPCA@suppLs$yModelMN <- colData(analysis_data)

  mean_by_group <- data.frame()
  if (!is.null(condition)) {
    mean_by_group <- aggregate(t(assay(analysis_data, 1)),
                               list(colData(analysis_data)[, condition]), mean)
    rownames(mean_by_group) <- mean_by_group[, 1]
    mean_by_group[, 1] <- NULL
    mean_by_group <- as.data.frame(t(mean_by_group))
  }

  resPCA_obj <- new(Class = "AnalysisResults",
                    type.analysis = "PCA",
                    type.data = type.data,
                    dataset = analysis_data,
                    results = resPCA,
                    cv.error = numeric(0),
                    mean.by.group = mean_by_group)

  return(resPCA_obj)
}



#' @importFrom gridExtra grid.arrange
.plotPCA <- function(res.pca, graph, add.label = TRUE,
                     axes = c(1, 2), col.ind = NULL, nb_label){

  if (!(is.null(col.ind)) &&
      !(col.ind %in% colnames(res.pca@suppLs$yModelMN))) {
    stop("'condition' must be a variable name of the design data frame")
  }

  eigen_value <- data.frame(dim = factor(seq_len(10)),
                            eigen_var = res.pca@pcaVarVn,
                            eigen_perc = res.pca@modelDF$R2X * 100)

  to_plot <- list()
  pos <- 1

  # graph
  if ("eig" %in% graph) {
    to_plot[[pos]] <- .plotEigen(eigen_value)
    pos <- pos + 1
  }

  if ("ind" %in% graph) {
    indiv_coord <- data.frame(res.pca@scoreMN[, axes])
    colnames(indiv_coord) <- c("x", "y")

    conditions <- NULL
    if (!is.null(col.ind)) {
      conditions <- as.factor(res.pca@suppLs$yModelMN[, col.ind])
    }

    to_plot[[pos]] <- .plotIndiv(indiv_coord, eigen_value, add.label, axes,
                                 conditions)
    pos <- pos + 1
  }

  if ("var" %in% graph) {
    var_coord <- data.frame(res.pca@loadingMN[, axes])
    colnames(var_coord) <- c("x", "y")

    # variable contributions on each axes
    var_contrib <- (var_coord ^ 2 * 100) / colSums(var_coord ^ 2)

    # contributions of variables on selected axes
    var_color <- (var_contrib[, 1] * eigen_value$eigen_var[axes[1]] +
                    var_contrib[, 2] * eigen_value$eigen_var[axes[2]]) /
      (eigen_value$eigen_var[axes[1]] + eigen_value$eigen_var[axes[2]])

    to_plot[[pos]] <- .plotVar(var_coord, var_color, eigen_value, axes, nb_label)
  }

  if (length(graph) == 1) {
    to_return <- to_plot[[1]]
    return(to_return)
  } else {
    return(grid.arrange(grobs = to_plot, ncol = length(graph)))
  }
}


.plotEigen <- function(eigen_value){
  # label for percentage of explained variances
  text_labels <- paste0(round(eigen_value$eigen_perc, 1), "%")

  # graph
  p_eigen <- ggplot(eigen_value, aes_string("dim", "eigen_perc", group = 1)) +
    geom_bar(stat = "identity", fill = "#377DB8", color = "#0B65B2") +
    geom_text(label = text_labels, vjust = -0.4) +
    labs(title = "PCA - Scree plot", x = "Dimensions",
         y = "Percentage of explained variance") +
    theme_minimal() + theme(plot.title = element_text(hjust = 0.5))

  return(p_eigen)
}


.plotVar <- function(var_coord, var_color, eigen_value, axes, nb_label){

  # add label for the 10 variables that contribute the most
  coord_lab <- var_coord[var_color >= sort(var_color, decreasing = TRUE)[nb_label], ]
  coord_lab$label <- rownames(coord_lab)

  # graph limits
  limit <- max(abs(var_coord$x), abs(var_coord$y)) + 0.05


  # graph
  p_var <-
    ggplot(var_coord) +
    geom_segment(aes_string(x = 0, y = 0, xend = "x", yend = "y",
                            color = "var_color"),
                 arrow = arrow(length = unit(0.10, "inches"), type = "closed"),
                 alpha = ifelse(rownames(var_coord) %in% rownames(coord_lab),
                                1, 0.3)) +
    geom_text(data = coord_lab, aes_string(x = "x", y = "y",
                                           label = "label"),
              hjust = 0.5, vjust = ifelse(coord_lab$y > 0, -0.5, 1.2),
              size = 3, col = "gray30") +
    geom_hline(yintercept = 0, linetype = 2) +
    geom_vline(xintercept = 0, linetype = 2)  +
    labs(title = "PCA - Variable plot",
         x = paste0("Dimension ", axes[1], " (",
                    round(eigen_value$eigen_perc[axes[1]], 1), "%)"),
         y = paste0("Dimension ", axes[2], " (",
                    round(eigen_value$eigen_perc[axes[2]], 1), "%)"),
         color = "Contributions") +
    theme_minimal() + theme(plot.title = element_text(hjust = 0.5)) +
    scale_colour_gradientn(colours = c("#1A9641", "#F7F76C", "#D7191C")) +
    coord_fixed() + scale_x_continuous(limits = c(- limit, limit)) +
    scale_y_continuous(limits = c(- limit, limit))

  return(p_var)
}


.plotIndiv <- function(indiv_coord, eigen_value, add.label = TRUE,
                       axes = c(1, 2), condition = NULL){

  # labels to add
  if (add.label) {
    label <- rownames(indiv_coord)
    # label colors
    col.label <- geom_text(aes(label = label), hjust = 0.5, vjust = -0.5,
                           size = 3, col = "gray30", show.legend = FALSE)
  } else {
    label <- ""
  }


  # if color on individuals
  ellipse <- NULL
  plot_centroids <- NULL

  if (!is.null(condition)) {
    # label colors (same color as points)
    col.label <- geom_text(aes(label = label, color = condition),
                           hjust = 0.5, vjust = -0.5, size = 3,
                           show.legend = FALSE)
    # add ellipses and centroids
    ellipse <-
      stat_ellipse(aes(fill = condition), geom = "polygon", alpha = 0.1)
    centroids <- aggregate(cbind(x, y)~condition, data = indiv_coord, mean)
    plot_centroids <-
      geom_point(data = centroids, aes_string(x = "x", y = "y",
                                              color = "condition"), size = 4)
  }

  # graph
  p_indiv <-
    ggplot(indiv_coord, aes_string(x = "x", y = "y", color = condition)) +
    geom_point() + col.label + ellipse + plot_centroids +
    geom_hline(yintercept = 0, linetype = 2) +
    geom_vline(xintercept = 0, linetype = 2) +
    labs(title = "PCA - Individual plot",
         x = paste0("Dimension ", axes[1], " (",
                    round(eigen_value$eigen_perc[axes[1]], 1), "%)"),
         y = paste0("Dimension ", axes[2], " (",
                    round(eigen_value$eigen_perc[axes[2]], 1), "%)"),
         color = "Conditions", fill = "Conditions") +
    scale_colour_brewer(palette = "Set1") +
    scale_fill_brewer(palette = "Set1") + theme_minimal()  +
    theme(plot.title = element_text(hjust = 0.5))

  return(p_indiv)
}

#' Orthogonal projections to latent structures discriminant analysis (OPLS-DA)
#' on a \code{\link{SummarizedExperiment}} object
#'
#' Perform an OPLS-DA with the function of the \code{\link{ropls}} package on a
#' \code{\link{SummarizedExperiment}} object obtained with the
#' \code{\link{formatForAnalysis}} function
#'
#' @param analysis_data A \code{\link{SummarizedExperiment}} object obtained
#' with the \code{\link{formatForAnalysis}} function.
#' @param condition The name of the design variable (two level factor)
#' specifying the response to be explained.
#' @param cross.val Number of cross validation folds.
#' @param thres.VIP A number specifying the VIP threshold used to identify
#' influential variables.
#' @param type.data Type of data used for the analyses (\emph{e.g.,}
#' \code{"quantifications"}, \code{"buckets"}...). Default to
#' \code{"quantifications"}.
#' @param seed Random seed to control randomness of cross validation folds.
#' @param ... Further arguments to be passed to the function
#' \code{\link{opls}} for specifying the parameters of the algorithm, if
#' necessary.
#'
#' @return A S4 object of class \linkS4class{AnalysisResults} containing OPLS-DA
#' results.
#'
#' @seealso \linkS4class{AnalysisResults}
#'
#' @references Trygg, J. and Wold, S. (2002). Orthogonal projections to latent
#' structures (O-PLS). \emph{Journal of Chemometrics}, \strong{16}(3), 119–128.
#'
#' @references Thevenot, E.A., Roux, A., Xu, Y., Ezan, E., Junot, C. 2015.
#' Analysis of the human adult urinary metabolome variations with age, body mass
#' index and gender by implementing a comprehensive workflow for univariate and
#' OPLS statistical analyses. \emph{Journal of Proteome Research}.
#' \strong{14}:3322-3335.
#'
#' @examples
#' # Import quantification results
#' if (require("ASICSdata", quietly = TRUE)) {
#'   quantif_path <- system.file("extdata", "results_ASICS.txt",
#'                               package = "ASICSdata")
#'   quantification <- read.table(quantif_path, header = TRUE, row.names = 1)
#'
#'   # Import design
#'   design <- read.table(system.file("extdata", "design_diabete_example.txt",
#'                                    package = "ASICSdata"), header = TRUE)
#'   design$condition <- factor(design$condition)
#'
#'   # Create object for analysis and remove features with more than 25% of
#'   # zeros
#'   analysis_obj <- formatForAnalysis(quantification,
#'                                     zero.threshold = 25, design = design)
#'   res_oplsda <- oplsda(analysis_obj, "condition", orthoI = 1)
#' }
#'
#' @export
#' @importFrom ropls opls getSubsetVi predict getVipVn
#' @importFrom stats aggregate
#' @importFrom plyr join_all
oplsda <- function(analysis_data, condition, cross.val = 1, thres.VIP = 1,
                   type.data = "quantifications", seed = 12345, ...){

  param.args <- list(...)

  if (!(condition %in% names(colData(analysis_data)))) {
    stop("'condition' must be a variable name of the design data frame")
  }

  # opls parameter
  if (is.null(param.args$predI)) param.args$predI <- 1
  if (is.null(param.args$orthoI)) param.args$orthoI <- NA
  if (is.null(param.args$algoC)) param.args$algoC <- "default"
  if (is.null(param.args$crossvalI)) param.args$crossvalI <- 7
  if (is.null(param.args$log10L)) param.args$log10L <- FALSE
  if (is.null(param.args$permI)) param.args$permI <- 0
  if (is.null(param.args$scaleC)) param.args$scaleC <- "standard"
  if (is.null(param.args$info.txtC)) param.args$info.txtC <- "none"
  if (is.null(param.args$fig.pdfC)) param.args$fig.pdfC <- "none"
  if (!is.null(param.args$subset)) param.args$subset <- NULL

  # opls-da and cross-validation
  if (cross.val > 1) {
    set.seed(seed)
    folds <- sample(cut(seq_len(ncol(analysis_data)), breaks = cross.val,
                        labels = FALSE), ncol(analysis_data))
    cv_oplsda <-
      lapply(seq_len(cross.val),
             function(i)
               do.call(opls,
                       c(x = list(t(assay(analysis_data, 1))),
                         y = list(colData(analysis_data)[, condition]),
                         subset = list(which(folds != i)),
                         param.args)
                       ))
  } else {
    cv_oplsda <-
      list(do.call(opls,
                   c(x = list(t(assay(analysis_data, 1))),
                     y = list(colData(analysis_data)[, condition]),
                     subset = "odd",
                     param.args))
      )
  }
  # add condition to analysis_data with the variable name: conditionOPLSDA
  colData(analysis_data)$conditionOPLSDA <- colData(analysis_data)[, condition]

  # best model
  # individuals
  ind_x <- join_all(lapply(seq_along(cv_oplsda), .combineOPLSDAResults,
                           cv_oplsda, "scoreMN"),
                    by = "feature", type = "full")
  rownames(ind_x) <- ind_x[, 1]
  ind_x[, 1] <- NULL

  ind_y <- join_all(lapply(seq_along(cv_oplsda), .combineOPLSDAResults,
                           cv_oplsda, "orthoScoreMN"),
                    by = "feature", type = "full")
  rownames(ind_y) <- ind_y[, 1]
  ind_y[, 1] <- NULL
  ind <- merge(data.frame(x = rowMeans(ind_x, na.rm = TRUE)),
               data.frame(y = rowMeans(ind_y, na.rm = TRUE)),
               by = "row.names", sort = FALSE)
  rownames(ind) <- ind[, 1]
  ind[, 1] <- NULL

  #variables
  var_x <- join_all(lapply(seq_along(cv_oplsda), .combineOPLSDAResults,
                           cv_oplsda, "loadingMN"),
                    by = "feature", type = "full")
  rownames(var_x) <- var_x[, 1]
  var_x[, 1] <- NULL

  var_y <- join_all(lapply(seq_along(cv_oplsda), .combineOPLSDAResults,
                           cv_oplsda, "orthoLoadingMN"),
                    by = "feature", type = "full")
  rownames(var_y) <- var_y[, 1]
  var_y[, 1] <- NULL
  var <- merge(data.frame(x = rowMeans(var_x, na.rm = TRUE)),
               data.frame(y = rowMeans(var_y, na.rm = TRUE)),
               by = "row.names", sort = FALSE)
  rownames(var) <- var[, 1]
  var[, 1] <- NULL

  best_model <- list(individuals = ind, variables = var)


  # prediction error
  cv_error <- round(mean(vapply(cv_oplsda, .errorPred,
                                analysis_data, condition,
                                FUN.VALUE = numeric(1))), 2)

  # VIP
  VIP_all <- vapply(cv_oplsda, getVipVn, FUN.VALUE = numeric(nrow(var)))
  mean_VIP <- apply(VIP_all, 1, mean)

  # influencial feature
  mean_by_group <- aggregate(t(assay(analysis_data, 1)),
                             list(colData(analysis_data)[, condition]), mean)
  rownames(mean_by_group) <- mean_by_group[, 1]
  mean_by_group[, 1] <- NULL
  mean_by_group <- as.data.frame(t(mean_by_group))
  mean_by_group$VIP <- mean_VIP
  mean_by_group$influential <- mean_VIP >= thres.VIP
  mean_by_group <- mean_by_group[order(mean_by_group$VIP, decreasing = TRUE),]

  resOPLSDA_obj <- new(Class = "AnalysisResults",
                     type.analysis = "OPLS-DA",
                     type.data = type.data,
                     dataset = analysis_data,
                     results = cv_oplsda,
                     best.model = best_model,
                     cv.error = cv_error,
                     mean.by.group = mean_by_group)


  return(resOPLSDA_obj)

}

#' @importFrom methods slot
.combineOPLSDAResults <- function(i, to_combine, which_param){
  temp <- cbind(feature = rownames(as.data.frame(slot(to_combine[[i]],
                                                      which_param))),
                as.data.frame(slot(to_combine[[i]], which_param)[, 1])) ;
  colnames(temp) <- c("feature", paste0("cv", i));
  return(temp)
}

.errorPred <- function(x, analysis_data, condition){
  trainVi <- getSubsetVi(x)
  comparison <- table(colData(analysis_data)[, condition][-trainVi],
                      predict(x, t(assay(analysis_data, 1))[-trainVi, ]))
  return(sum(comparison[row(comparison) != col(comparison)]) / sum(comparison))
}

#' @importFrom SummarizedExperiment assay
#' @importFrom zoo na.approx
.plotOPLSDA <- function(res.oplsda, graph, add.label = TRUE, xlim, ylim, nb_label){

  to_plot <- list()
  pos <- 1

  # eigen values
  eigen_value <-
    data.frame(dim = factor(seq_len(2)), eigen_var = c(1, 1),
               eigen_perc = c(1, 1))


  if ("ind" %in% graph) {
    indiv_coord <- res.oplsda@best.model$individuals

    condition <- merge(indiv_coord, colData(res.oplsda@dataset),
                       by = "row.names", sort = FALSE)

    to_plot[[pos]] <-
      .plotIndiv(indiv_coord, eigen_value, add.label = add.label,
                 axes = c(1, 2),
                 condition = factor(condition$conditionOPLSDA)) +
      coord_cartesian() + ylab("Orthogonal component 1") +
      xlab("Dimension 1") +
      ggtitle("OPLS-DA - Individual plot")

    pos <- pos + 1
  }

  if ("var" %in% graph) {
    var_coord <- res.oplsda@best.model$variables

    # contributions of variables on selected axes
    var_color <- merge(var_coord, getMeanByGroup(res.oplsda), by = "row.names",
                       sort = FALSE)$VIP

    to_plot[[pos]] <- .plotVar(var_coord, var_color, eigen_value,
                               axes = c(1, 2), nb_label) +
      labs(title = "OPLS-DA - Variable plot",
           y = "Orthogonal component 1",
           x = "Dimension 1",
           color = "VIP")
  }

  if ("buckets" %in% graph) {
    data_wide <- as.data.frame(assay(res.oplsda@dataset, 1))
    buckets_num <- as.numeric(rownames(data_wide))
    # compute median spectrum
    spect_med <- apply(t(data_wide), 2, median)

    # compute mean of VIP
    vip <- res.oplsda@mean.by.group[
      order(as.numeric(rownames(res.oplsda@mean.by.group))),]
    vip$VIP[!vip$influential] <- NA

    # value (in ppm) of the bucket correspond to the center so middle points
    # between all buckets are needed to visualize influential buckets with
    # another color
    data_res <- data.frame(buckets = c(buckets_num,
                                       buckets_num - diff(buckets_num)[1]/2),
                           spectrum = c(spect_med, rep(NA,
                                                       length(buckets_num))),
                           important = rep(vip$influential, 2),
                           VIP = rep(vip$VIP, 2))


    data_res <- data_res[order(data_res$buckets), ]
    data_res[1, 2] <- 0
    data_res$spectrum <- na.approx(data_res$spectrum, data_res$buckets)

    # plots
    if (is.null(ylim)) ylim <- c(0, max(data_res$spectrum))
    p_buckets <-
      ggplot(data_res, aes_string("buckets", "spectrum", colour = "VIP")) +
      geom_line(aes(group=1), na.rm = TRUE) + theme_bw() +
      scale_x_reverse(limits = rev(c(xlim[1], xlim[2]))) +
      ylim(c(ylim[1], ylim[2])) +
      labs(x = "Chemical shift (in ppm)", y = "Intensity") +
      scale_colour_gradientn(colours = c("#F7F76C", "#D7191C"))

    to_plot[[pos]] <- p_buckets
  }


  if (length(graph) == 1) {
    to_return <- to_plot[[1]]
    return(to_return)
  } else {
    grid.arrange(grobs = to_plot, ncol = length(graph))
  }
}



#' Kruskal-Wallis rank sum tests on a \code{\link{SummarizedExperiment}} object
#'
#' Perform Kruskal-Wallis tests on a \code{\link{SummarizedExperiment}} object
#' obtained with the \code{\link{formatForAnalysis}} function
#'
#' @param analysis_data A \code{\link{SummarizedExperiment}} object obtained
#' with the \code{\link{formatForAnalysis}} function.
#' @param condition The name of the design variable (two level factor)
#' specifying the group of each sample.
#' @param alpha Cutoff for adjusted p-values. Default to 0.05.
#' @param type.data Type of data used for the analyses (\emph{e.g.,}
#' @param ... Arguments to be passed to \code{\link{p.adjust}} such as the
#' correction method to use with the \code{method} argument.
#' \code{"quantifications"}, \code{"buckets"}...). Default to
#' \code{"quantifications"}.
#'
#' @return A S4 object of class \linkS4class{AnalysisResults} containing test
#' results.
#' @seealso \linkS4class{AnalysisResults}
#'
#' @examples
#' # Import quantification results
#' if (require("ASICSdata", quietly = TRUE)) {
#'   quantif_path <- system.file("extdata", "results_ASICS.txt",
#'                               package = "ASICSdata")
#'   quantification <- read.table(quantif_path, header = TRUE, row.names = 1)
#'
#'   # Import design
#'   design <- read.table(system.file("extdata", "design_diabete_example.txt",
#'                                    package = "ASICSdata"), header = TRUE)
#'   design$condition <- factor(design$condition)
#'
#'   # Create object for analysis and remove features with more than 25% of
#'   # zeros
#'   analysis_obj <- formatForAnalysis(quantification,
#'                                     zero.threshold = 25, design = design)
#'   res_tests <- kruskalWallis(analysis_obj, "condition", method = "BH")
#' }
#'
#' @importFrom stats p.adjust kruskal.test
#' @importFrom SummarizedExperiment colData colData<-
#' @export
kruskalWallis <- function(analysis_data, condition,
                          alpha = 0.05, type.data = "quantifications", ...){

  if (!(condition %in% names(colData(analysis_data)))) {
    stop("'condition' need to be a variable name of design data frame")
  }

  kruskal_pval <-
    apply(t(assay(analysis_data, 1)), 2,
          function(x)
            kruskal.test(x~colData(analysis_data)[, condition])$p.value)

  p_adj <- p.adjust(kruskal_pval, ...)

  mean_by_group <- aggregate(t(assay(analysis_data, 1)),
                             list(colData(analysis_data)[, condition]), mean)
  rownames(mean_by_group) <- mean_by_group[, 1]
  mean_by_group[, 1] <- NULL
  mean_by_group <- as.data.frame(t(mean_by_group))
  mean_by_group$p_adj <- p_adj
  mean_by_group$significant <- p_adj < alpha
  mean_by_group <- mean_by_group[order(mean_by_group$p_adj,
                                       decreasing = FALSE), ]

  res_tests <- data.frame(Feature = rownames(assay(analysis_data, 1)),
                          "Adjusted p-value" = p_adj)
  res_tests <- res_tests[order(res_tests$Adjusted.p.value,
                               decreasing = FALSE), ]
  rownames(res_tests) <- NULL

  # add condition to analysis_data with the variable name: conditionTest
  colData(analysis_data)$conditionTest <- colData(analysis_data)[, condition]

  resTest_obj <- new(Class = "AnalysisResults",
                    type.analysis = "Kruskal-Wallis tests",
                    type.data = type.data,
                    dataset = analysis_data,
                    results = res_tests,
                    cv.error = numeric(0),
                    mean.by.group = mean_by_group)

  return(resTest_obj)
}

#' @importFrom gridExtra grid.arrange
#' @importFrom SummarizedExperiment assays
#' @importFrom grDevices boxplot.stats
.plotTests <- function(res.tests, graph, xlim, ylim){
  data_wide <- as.data.frame(assay(res.tests@dataset, 1))

  to_plot <- list()
  pos <- 1

  # graph
  if ("boxplot" %in% graph) {
    # keep only significant features
    sig <- res.tests@mean.by.group$significant
    data_wide <- data_wide[rownames(data_wide) %in%
                             rownames(res.tests@mean.by.group)[sig], ]

    # reshape the data frame
    data_long <- reshape(data_wide,
                         idvar = "feature", ids = row.names(data_wide),
                         times = names(data_wide), timevar = "sample",
                         varying = list(names(data_wide)), direction = "long",
                         v.names = "quantif")
    data_long$group <- rep(colData(res.tests@dataset)[, "conditionTest"],
                           each = nrow(data_wide))

    # boxplot stats
    stat <- tapply(data_long$quantif, list(data_long$feature, data_long$group),
                   function(x) boxplot.stats(x))
    stats <- unlist(tapply(data_long$quantif, list(data_long$feature,
                                                   data_long$group),
                           function(x) boxplot.stats(x)$stats))

    # new labels with p-values
    padj <- res.tests@results[order(res.tests@results$Feature), ]
    padj <- padj[padj$Feature %in% unlist(dimnames(stat)[1]), ]
    padj <- ifelse(padj$Adjusted.p.value < 0.0001, "< 0.0001",
                   round(padj$Adjusted.p.value, 4))
    feature_with_padj <- paste0(unlist(dimnames(stat)[1]), " (adj. p-value: ",
                              padj, ")")

    df <- data.frame(
      feature = rep(rep(feature_with_padj, each = 5),
                    length(unlist(dimnames(stat)[2]))),
      group = factor(rep(unlist(dimnames(stat)[2]),
                  each = length(unlist(dimnames(stat)[1])) * 5)),
      quantif = unlist(stats))

    p_boxplot <-
      ggplot(df, aes_string(x = "group", y = "quantif", fill = "group")) +
      geom_boxplot(position = "dodge", show.legend = FALSE) +
      facet_wrap(~feature, scales = "free") +
      labs(x = "Groups", y = "Relative quantification") + theme_bw()

    to_plot[[pos]] <- p_boxplot
    pos <- pos + 1
  }

  if ("buckets" %in% graph) {
    buckets_num <- as.numeric(rownames(data_wide))
    # compute median spectrum
    spect_med <- apply(t(data_wide), 2, median)

    # compute direction of change of significant buckets
    difference <- res.tests@mean.by.group[, 2] - res.tests@mean.by.group[, 1]
    dir_change <- ifelse(res.tests@mean.by.group$significant,
                         ifelse(difference > 0,
                                colnames(res.tests@mean.by.group)[2],
                                colnames(res.tests@mean.by.group)[1]),
                         NA)

    # value (in ppm) of the bucket correspond to the center so middle points
    # between all buckets are needed to visualize influential buckets with
    # another color
    data_res <- data.frame(buckets = c(buckets_num,
                                       buckets_num - diff(buckets_num)[1]/2),
                           spectrum = c(spect_med, rep(NA,
                                                       length(buckets_num))),
                           dir_change = as.factor(rep(dir_change, 2)))


    data_res <- data_res[order(data_res$buckets), ]
    data_res[1, 2] <- 0
    data_res$spectrum <- na.approx(data_res$spectrum, data_res$buckets)

    # plots
    if (is.null(ylim)) ylim <- c(0, max(data_res$spectrum))
    p_buckets <-
      ggplot(data_res, aes_string("buckets", "spectrum",
                                  colour = "dir_change")) +
      geom_line(aes(group=1), na.rm = TRUE, size = 0.7) + theme_bw() +
      scale_x_reverse(limits = rev(c(xlim[1], xlim[2]))) +
      ylim(c(ylim[1], ylim[2])) +
      labs(x = "Chemical shift (in ppm)", y = "Intensity") +
      scale_colour_manual(name = "Significatively higher in:",
                          values = c("blue", "red"), na.translate = TRUE,
                          na.value = "grey70")

    to_plot[[pos]] <- p_buckets
  }


  if (length(graph) == 1) {
    to_return <- to_plot[[1]]
    return(to_return)
  } else {
    grid.arrange(grobs = to_plot, ncol = length(graph))
  }
}