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##' This function selects the variable that best represents a specific degradation mechanism with the greatest adjusted R^2 of <S|M|.
##'
##' @title network Structural Equation Modeling (netSEM)
##'
##' @param a A dataframe. By default it considers all columns as exogenous variables, except the first column which stores the system's endogenous variable.
##' @param exogenous, by default it considers all columns as exogenous variables except column number 1, which is the main endogenous response.
##' @param endogenous A character string of the column name of the main endogenous OR a numeric number indexing the column of the main endogenous.
##' @return A character string of the variable that best represents a specific degradation mechanism.
##'
##' @export
##'
##' @examples
##' \dontrun{
##' ## Load the sample acrylic data set
##' data(acrylic)
##'
##' ## Run netSEMp1_predict
##' ans <- var_selection(a = acrylic, exogenous = "IrradTot", endogenous = "YI")
##' }
####### v0.8.0 ##################
var_selection <- function(a, exogenous, endogenous) {
# Check for exogenous & endogenous input. Error if missing.
# Rearrange dataframe based on exogenous & endogenous specification.
# Transformed dataframe structure is: Stressor, Response,...
if (missing(exogenous) | missing(endogenous)) {
stop("exogenous and endogenous variables need to be specified")
} else {
a <- a %>%
dplyr::relocate(all_of(endogenous), all_of(exogenous))
}
# Run netSEMp1 to get pairwise relationships
p1.result <- netSEMp1(a, exogenous, endogenous)
p1.df <- p1.result$bestModels
p1.model <- p1.result$allModels
p1.exogenous <- p1.result$bestModels %>% filter(Var == exogenous & Resp != endogenous) %>% arrange(adj.r.squared)
p1.exogenous <- p1.exogenous %>% filter(row_number() == nrow(p1.exogenous))
best_resp <- p1.exogenous$Resp #response variable (<S|R>) with the greatest adjR^2
return(best_resp)
}
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