#-----------------------------------------------------------------------------#
# #
# QUALITY CONTROL STATISTICS IN R #
# #
# An R package for statistical in-line quality control. #
# #
# Written by: Miguel A. Flores Sanchez #
# Professor of the Mathematics Department #
# Escuela Politecnica Nacional, Ecuador #
# miguel.flores@epn.edu.ec #
# #
#-----------------------------------------------------------------------------#
#-------------------------------------------------------------------------
# one chart
#-------------------------------------------------------------------------
##' Function to plot the Shewhart xbar.one chart
##'
##' This function is used to compute statistics required by the xbar.one chart.
# @details
# In the default method \code{qcs.one.default} parameter \code{x} is a matrix
# or data-frame which should contain data, index sample and, optionally, covariate(s).
##'
##' @param x An object of class "qcd".
##' @param ... Arguments passed to or from methods.
##' @export
##' @examples
##'
##' ##
##' ## Continuous data
##' ##
##'library(qcr)
##' x <- c(33.75, 33.05, 34, 33.81, 33.46, 34.02, 33.68, 33.27, 33.49, 33.20,
##' 33.62, 33.00, 33.54, 33.12, 33.84)
##'
##' sample <- 1:length(x)
##' datos <- data.frame(x,sample)
##' datos.qcd <- qcd(datos)
##'
##' res.qcs <- qcs.one(datos.qcd)
##' class(res.qcs)
##' summary(res.qcs)
##' plot(res.qcs, title = "Control Chart Xbar.one for pistonrings")
##'
qcs.one <- function(x, ...) {
UseMethod("qcs.one")
}
##' @rdname qcs.one
##' @method qcs.one default
##' @inheritParams qcd
##' @param sizes Optional. A value or a vector of values specifying the sample sizes
##' associated with each group. For continuous data the sample sizes are obtained counting the non-\code{NA} elements of
##' the \code{sample.index} vector. For attribute
##' variable the argument sizes is required.
##' @param center A value specifying the center of group statistics or the
##' ''target'' value of the process.
##' @param std.dev A value or an available method specifying the within-group standard
##' deviation(s) of the process. Several methods are available for estimating the
##' standard deviation in case of a continuous process variable.
##' @param k Number of successive pairs of observations for computing the
##' standard deviation based on moving ranges of k points.
##' @param conf.nsigma A numeric value used to compute control limits, specifying the
##' number of standard deviations (if \code{conf.nsigma} > 1) or the confidence level (if 0
##' < \code{conf.nsigma} < 1).
##' @param limits A two-value vector specifying control limits.
##' @param plot Logical value. If \code{TRUE} a xbar.one chart should be plotted.
##' @export
qcs.one.default <- function(x, var.index = 1, sample.index = 2,
covar.index = NULL, covar.names = NULL,
data.name = NULL,
sizes = NULL,
center = NULL,
std.dev = c("MR", "SD"), k = 2,
conf.nsigma = 3,
limits = NULL, plot = FALSE, ...)
{
std.dev <- match.arg(std.dev)
obj <- qcd(data = x, var.index = var.index, sample.index = sample.index,
covar.index = covar.index, covar.names = covar.names,
data.name = data.name, sizes = sizes)
result <- qcs.one.qcd(x = obj, center = center, std.dev = std.dev,
k = k , conf.nsigma = conf.nsigma,
limits = limits, plot = plot)
return(result)
}
##' @rdname qcs.one
##' @method qcs.one qcd
##' @inheritParams qcs.one.default
##' @export
qcs.one.qcd <- function(x, center = NULL,
std.dev = c("MR", "SD"), k = 2,
conf.nsigma = 3,
limits = NULL, plot = FALSE, ...) {
#.........................................................................
if (!is.numeric(std.dev))
std.dev <- match.arg(std.dev)
if(is.null(x) || !inherits(x, "qcd"))
stop("data must be an objects of class (or extending) 'qcd'")
type.data <- "continuous"
std.dev <- sd.xbar.one (data = x$x, std.dev = std.dev, k = k)
qcs <- qcs(x = x$x, sample.index = x$sample, type = "one", std.dev = std.dev,
center = center, conf.nsigma = conf.nsigma,
limits = limits,
type.data = type.data)
center <- qcs$center
one <- qcs$statistics
std.dev <- qcs$std.dev
sizes <- qcs$sizes
limits <- qcs$limits
violations <- qcs$violations
statistics <- data.frame(one)
m <- length(x)
sample <- x$sample
if (m > 3) {
new.x <- x[, -c(1, 2, length(x))]
cov <- apply(new.x, 2, function(x) unlist(lapply(split(x, sample), unique)))
statistics <- data.frame(one, cov)
}
row.names(statistics) <- unique(x$sample)
data.name <- attr(x, "data.name")
result <- list(qcd = x, type = "one", statistics = statistics,
center = center, std.dev = std.dev,
limits = limits, conf.nsigma = conf.nsigma,
sizes = sizes, data.name = data.name,
violations = violations)
oldClass(result) <- c("qcs.one", "qcs")
if(plot) plot(result, ...)
return(result)
#.........................................................................
} # qcs.one.qcd
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