R/STAT210prob2.45.R

In thoree/stat340: Data and functions for BIAS at NMBU

#' STAT210prob2.45: Develop Equation 2.50
#'
#' This data is for developing the following equation...
#' \deqn{\frac{{S_1}^2}{{S_2}^2} {F_{1-\alpha/2,{n_2}-1,{n_1}-1}}
#' \frac{<}{ } \frac{{\sigma_1}^2}{{\sigma_2}^2} \frac{<}{ }
#' \frac{{S_1}^2}{{S_2}^2} {F_{\alpha/2,{n_2}-1,{n_1}-1}}}
#' ...for a 100(1 - \eqn{\alpha}) percent confidence interval for the ratio
#' \eqn{{\sigma_1}^2/{\sigma_2}^2}, where \eqn{{\sigma_1}^2} and
#' \eqn{{\sigma_2}^2} are the variances of two normal distributions.
#'
#' @format A data frame with 10 observations (rows) and 3 variables (columns).
#' \tabular{llllr}{
#'   \tab \bold{Column name} \tab \bold{Data type} \tab \bold{Values}\cr
#'   \code{[,1]} \tab \code{A} \tab numeric \tab (-15.9034 - 19.9977)\cr
#'   \code{[,2]} \tab \code{B} \tab numeric \tab (-15.0013 - 21.1018)\cr
#'   \code{[,3]} \tab \code{delta} \tab numeric \tab (-1.4324 - -0.0965)
#' }
#'
#' @details
#'
#' This is data from Exercise 2.45 in Design and Analysis of Experiments, 9th
#' Edition, EMEA Edition, and for developing equation 2.50 from the textbook.
#'
#' @examples
#'
#' # A short summary of the variables
#' summary(STAT210prob2.45)
#'
#' @source Montgomery, D. C. (2019) \emph{Design and Analysis of Experiments,
#' 9th Edition, EMEA Edition}. New York: Wiley.
#'
#' @docType data
#' @keywords datasets
#' @name STAT210prob2.45
#' @usage STAT210prob2.45
#'
"STAT210prob2.45"