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#' @title Weighted permutation test for WMSHAP difference between two features
#' @description Performs a weighted paired permutation test to assess whether two features have
#' different contributions (e.g., weighted mean SHAP, referred to as WMSHAP) across models in a \code{shapley}
#' object.
#' @param shapley object of class \code{"shapley"}, as returned by the 'shapley' function
#' @param features Character vector of length 2 giving the names of the two features to compare.
#' @param n Integer. Number of permutations (default 2000).
#' @author E. F. Haghish
#' @return A list with \code{mean_wmshap_diff} (observed weighted mean difference) and \code{p_value}.
#' @examples
#'
#' \dontrun{
#' # load the required libraries for building the base-learners and the ensemble models
#' library(h2o) #shapley supports h2o models
#' library(autoEnsemble) #autoEnsemble models, particularly useful under severe class imbalance
#' library(shapley)
#'
#' # initiate the h2o server
#' h2o.init(ignore_config = TRUE, nthreads = 2, bind_to_localhost = FALSE, insecure = TRUE)
#'
#' # upload data to h2o cloud
#' prostate_path <- system.file("extdata", "prostate.csv", package = "h2o")
#' prostate <- h2o.importFile(path = prostate_path, header = TRUE)
#'
#' ### H2O provides 2 types of grid search for tuning the models, which are
#' ### AutoML and Grid. Below, I demonstrate how weighted mean shapley values
#' ### can be computed for both types.
#'
#' set.seed(10)
#'
#' #######################################################
#' ### PREPARE AutoML Grid (takes a couple of minutes)
#' #######################################################
#' # run AutoML to tune various models (GBM) for 60 seconds
#' y <- "CAPSULE"
#' prostate[,y] <- as.factor(prostate[,y]) #convert to factor for classification
#' aml <- h2o.automl(y = y, training_frame = prostate, max_runtime_secs = 120,
#' include_algos=c("GBM"),
#'
#' # this setting ensures the models are comparable for building a meta learner
#' seed = 2023, nfolds = 10,
#' keep_cross_validation_predictions = TRUE)
#'
#' ### call 'shapley' function to compute the weighted mean and weighted confidence intervals
#' ### of SHAP values across all trained models.
#' ### Note that the 'newdata' should be the testing dataset!
#' result <- shapley(models = aml, newdata = prostate, plot = TRUE)
#'
#' #######################################################
#' ### Significance testing of contributions of two features
#' #######################################################
#'
#' shapley.feature.test(result, features = c("GLEASON", "PSA"), n = 5000)
#' }
#' @export
shapley.feature.test <- function(shapley, features, n = 2000) {
# Syntax check
# ============================================================
if (!inherits(shapley, "shapley")) {
stop("`shapley` must be of class 'shapley'.", call. = FALSE)
}
if (!is.character(features) || length(features) != 2L) {
stop("`features` must be a character vector of length 2.", call. = FALSE)
}
if (!all(features %in% names(shapley$feature_importance)))
stop("features must be a subset of the features in the shapley object")
if (!is.numeric(n)) stop("n must be numeric")
if (n < 100) stop("n must be greater than or equal to 100")
# Prepare the variables
# ============================================================
var1 <- unlist(shapley$feature_importance[features[1]])
var2 <- unlist(shapley$feature_importance[features[2]])
weights <- shapley$weights
# Run the test
# ============================================================
results <- feature.test(var1, var2, weights, n)
if (results$p_value < 0.05) {
message(paste0("The difference between the two features is significant:\n",
"observed Weighted Mean Shapley (WMSHAP) difference = ",
as.character(results$mean_wmshap_diff), " and p-value = ",
as.character(results$p_value)))
} else {
message(paste0("The difference between the two features is not significant:\n",
"observed Weighted Mean Shapley (WMSHAP) difference = ",
as.character(results$mean_wmshap_diff), " and p-value = ",
as.character(results$p_value)))
}
return(results)
}
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