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#' Summarize results
#'
#' @description `summary` functions take the output and summarize it.
#'
#' @param object an output object
#' @param ... arguments passed on to the function
#' @param significance_level Numeric scalar between 0 and 1, inclusive, representing the significance level for the chi-square test. The test is used to determine whether at least one of the coefficients (except the intercept) is not equal to 0. Default is 0.05
#'
#' @details Currently, observed densities (class: obs), estimates (class: est) and heterogeneity estimates (class: cate) are supported by this function.
#'
#' @export
summary.cate <- function(object,..., significance_level = 0.05) {
cate <- object
#1. Summary for the regression coefficients
intercept <- cate$specification$intercept
if(intercept==0){
basis <- paste0('basis_',1:length(cate$est_beta))
}else{
basis <- c("intercept",paste0('basis_',1:(length(cate$est_beta)-1)))
}
result_betas <- data.frame(
point_estimate = cate$est_beta,
upper_95 = cate$est_beta + 1.96 * sqrt(diag(cate$V_beta)),
lower_95 = cate$est_beta - 1.96 * sqrt(diag(cate$V_beta)),
upper_90 = cate$est_beta + 1.645 * sqrt(diag(cate$V_beta)),
lower_90 = cate$est_beta - 1.645 * sqrt(diag(cate$V_beta))
)
row.names(result_betas) <- basis
result_betas <- round(result_betas, digits = 5)
#2. Summary for the cate evaluted at chosen values
result_values <- data.frame(
values = cate$specification$eval_values,
point_estimate = cate$est_eval,
upper_95 = cate$est_eval + 1.96 * sqrt(diag(cate$V_eval)),
lower_95 = cate$est_eval - 1.96 * sqrt(diag(cate$V_eval)),
upper_90 = cate$est_eval + 1.645 * sqrt(diag(cate$V_eval)),
lower_90 = cate$est_eval - 1.645 * sqrt(diag(cate$V_eval))
)
result_values <- round(result_values,digits = 5)
#3. Summary for the chi-square test
chisq_test <- data.frame(chisq_stat = cate$chisq_stat,
p.value = cate$p.value,
significance_level = significance_level, reject = cate$p.value<significance_level)
chisq_test[,1:2] <- round(chisq_test[,1:2],digits = 5)
return(list(result_betas = result_betas, result_values = result_values,chisq_test = chisq_test))
}
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