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#' Simulated twelve-speaker vowel cohort
#'
#' A simulated cohort for demonstrating the ranking protocol of
#' \code{rank_contrasts()}: twelve speakers, two vowel categories
#' (\code{"ih"} and \code{"eh"}), and two acoustic features (F1 and F2, in
#' Hz). Each speaker was built to exercise one part of the protocol:
#' \describe{
#' \item{spk01--spk08}{Gaussian categories whose centroid gap grows from 25
#' to 200 Hz, 100 tokens per vowel: a graded ordering that both
#' Jensen-Shannon distance and Pillai recover.}
#' \item{spk09}{The same centroids for both vowels, but a bimodal
#' \code{"eh"} (two variants 190 Hz apart in F1 and 440 Hz apart in F2),
#' 100 tokens per vowel. A mean-based measure sees no contrast while the
#' distributions barely overlap: the planted Pillai / \eqn{\sqrt{JSD}}
#' disagreement the agreement flag should catch.}
#' \item{spk10}{Fully separated categories, 100 tokens per vowel:
#' \eqn{\sqrt{JSD}} at the ceiling.}
#' \item{spk11}{60 tokens per vowel: ranking by \eqn{\sqrt{JSD}} is licensed
#' at two dimensions (floor 50) but the flag is not readable (floor 100).}
#' \item{spk12}{40 tokens per vowel: below the two-dimensional rank floor,
#' so the speaker is ordered by Pillai.}
#' }
#'
#' @format A data frame with 2200 rows and 4 columns:
#' \describe{
#' \item{speaker}{Character; speaker identifier \code{"spk01"} to
#' \code{"spk12"}.}
#' \item{vowel}{Character; vowel category, \code{"ih"} or \code{"eh"}.}
#' \item{f1}{Numeric; first formant frequency in Hz.}
#' \item{f2}{Numeric; second formant frequency in Hz.}
#' }
#' @source Simulated with a fixed seed; the generating script is
#' \code{data-raw/vowel_cohort.R} in the package repository.
#' @seealso \code{rank_contrasts()}, \code{inspect_contrast()}.
#' @examples
#' head(vowel_cohort)
#' table(vowel_cohort$speaker, vowel_cohort$vowel)
"vowel_cohort"
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