#' Distribution Statistics for Zero-Truncated Geometric
#'
#' @family Zero-Truncated Geometric
#' @family Distribution Statistics
#'
#' @details This function takes in a tibble generated by a `tidy_ztgeom`
#' distribution function and returns the relevant statistics for a Zero-Truncated
#' Geometric distribution. It requires data to be passed from a `tidy_ztgeom`
#' distribution function.
#'
#' @description Returns distribution statistics for Zero-Truncated Geometric
#' distribution in a tibble.
#'
#' @param .data The data being passed from a `tidy_ztgeom` distribution function.
#'
#' @examples
#' library(dplyr)
#'
#' set.seed(123)
#' tidy_zero_truncated_geometric(.prob = 0.1) |>
#' util_zero_truncated_geometric_stats_tbl() |>
#' glimpse()
#'
#' @return
#' A tibble
#'
#' @name util_zero_truncated_geometric_stats_tbl
NULL
#' @export
#' @rdname util_zero_truncated_geometric_stats_tbl
util_zero_truncated_geometric_stats_tbl <- function(.data) {
# Immediate check for tidy_ distribution function
if (!"tibble_type" %in% names(attributes(.data))) {
rlang::abort(
message = "You must pass data from a 'tidy_dist' function.",
use_cli_format = TRUE
)
}
if (attributes(.data)$tibble_type != "tidy_zero_truncated_geometric") {
rlang::abort(
message = "You must use 'tidy_zero_truncated_geometric()'",
use_cli_format = TRUE
)
}
# Extract attributes
data_tbl <- dplyr::as_tibble(.data)
atb <- attributes(data_tbl)
p <- atb$.prob
# Zero-Truncated Geometric Statistics Calculation
stat_mean <- (1 - p) / p + 1
stat_mode <- 1
stat_sd <- sqrt((1 - p) / (p * p))
stat_skewness <- (2 + p) / sqrt(1 - p)
stat_kurtosis <- 6 + (p * (p - 2)) / (1 - p)
stat_coef_var <- stat_sd / stat_mean
# Generate data table with calculated statistics
ret <- dplyr::tibble(
tidy_function = atb$tibble_type,
function_call = atb$dist_with_params,
distribution = dist_type_extractor(atb$tibble_type),
distribution_type = atb$distribution_family_type,
points = atb$.n,
simulations = atb$.num_sims,
mean = stat_mean,
mode = stat_mode,
range = "1 to Inf",
std_dv = stat_sd,
coeff_var = stat_coef_var,
skewness = stat_skewness,
kurtosis = stat_kurtosis,
computed_std_skew = tidy_skewness_vec(data_tbl$y),
computed_std_kurt = tidy_kurtosis_vec(data_tbl$y),
ci_lo = ci_lo(data_tbl$y),
ci_hi = ci_hi(data_tbl$y)
)
# Return the data table
return(ret)
}
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