Description
Create an object of class 'qcc' to perform statistical quality control. This object may then be used to plot Shewhart charts, drawing OC curves, computes capability indices, and more.Usage
qcc(data, type, sizes, center, std.dev, limits, data.name, labels, newdata, newsizes, newlabels, nsigmas=3, confidence.level, rules=shewhart.rules, plot=TRUE, ...)
"print"(x, ...)
"summary"(object, digits=getOption("digits"), ...)
"plot"(x, add.stats=TRUE, chart.all=TRUE, label.limits=c("LCL ", "UCL"), title, xlab, ylab, ylim, axes.las=0, digits=getOption("digits"), restore.par=TRUE, ...)
Arguments
data
a data frame, a matrix or a vector containing observed data for the variable to chart. Each row of a data frame or a matrix, and each value of a vector, refers to a sample or ''rationale group''.
type
a character string specifying the group statistics to compute: Statistic charted Chart description "xbar"
mean means of a continuous process variable "R"
range ranges of a continuous process variable "S"
standard deviation standard deviations of a continuous variable "xbar.one"
mean one-at-time data of a continuous process variable "p"
proportion proportion of nonconforming units "np"
count number of nonconforming units "c"
count nonconformities per unit "u"
count average nonconformities per unit
sizes
a value or a vector of values specifying the sample sizes associated with each group. For continuous data provided as data frame or matrix the sample sizes are obtained counting the non-NA
elements of each row. For "p"
, "np"
and "u"
charts the argument sizes
is required.
center
a value specifying the center of group statistics or the ''target'' value of the process.
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; see sd.xbar
, sd.xbar.one
, sd.R
, sd.S
.
limits
a two-values vector specifying control limits.
data.name
a string specifying the name of the variable which appears on the plots. If not provided is taken from the object given as data.
labels
a character vector of labels for each group.
newdata
a data frame, matrix or vector, as for the data
argument, providing further data to plot but not included in the computations.
newsizes
a vector as for the sizes
argument providing further data sizes to plot but not included in the computations.
newlabels
a character vector of labels for each new group defined in the argument newdata
.
nsigmas
a numeric value specifying the number of sigmas to use for computing control limits. It is ignored when the confidence.level
argument is provided.
confidence.level
a numeric value between 0 and 1 specifying the confidence level of the computed probability limits.
rules
a function of rules to apply to the chart. By default, the shewhart.rules
function is used.
plot
logical. If TRUE
a Shewhart chart is plotted.
add.stats
a logical value indicating whether statistics and other information should be printed at the bottom of the chart.
chart.all
a logical value indicating whether both statistics for data
and for newdata
(if given) should be plotted.
label.limits
a character vector specifying the labels for control limits.
title
a string giving the label for the main title.
xlab
a string giving the label for the x-axis.
ylab
a string giving the label for the y-axis.
ylim
a numeric vector specifying the limits for the y-axis.
axes.las
numeric in {0,1,2,3} specifying the style of axis labels. See help(par)
.
digits
the number of significant digits to use.
restore.par
a logical value indicating whether the previous par
settings must be restored. If you need to add points, lines, etc. to a control chart set this to FALSE
.
object
an object of class 'qcc'.
x
an object of class 'qcc'.
...
additional arguments to be passed to the generic function.
Value
References
Mason, R.L. and Young, J.C. (2002) Multivariate Statistical Process Control with Industrial Applications, SIAM. Montgomery, D.C. (2005) Introduction to Statistical Quality Control, 5th ed. New York: John Wiley & Sons. Ryan, T. P. (2000), Statistical Methods for Quality Improvement, 2nd ed. New York: John Wiley & Sons, Inc. Scrucca, L. (2004). qcc: an R package for quality control charting and statistical process control. R News 4/1, 11-17.Wetherill, G.B. and Brown, D.W. (1991) Statistical Process Control. New York: Chapman & Hall.See Also
shewhart.rules
, cusum
, ewma
, oc.curves
, process.capability
, qcc.groups
Examples
#### Continuous data ##data(pistonrings)attach(pistonrings)diameter <- qcc.groups(diameter, sample)qcc(diameter[1:25,], type="xbar")qcc(diameter[1:25,], type="xbar", newdata=diameter[26:40,])q <- qcc(diameter[1:25,], type="xbar", newdata=diameter[26:40,], plot=FALSE)plot(q, chart.all=FALSE)qcc(diameter[1:25,], type="xbar", newdata=diameter[26:40,], nsigmas=2)qcc(diameter[1:25,], type="xbar", newdata=diameter[26:40,], confidence.level=0.99)qcc(diameter[1:25,], type="R")qcc(diameter[1:25,], type="R", newdata=diameter[26:40,])qcc(diameter[1:25,], type="S")qcc(diameter[1:25,], type="S", newdata=diameter[26:40,])# add warning limits at 2 std. deviationsq <- qcc(diameter[1:25,], type="xbar", newdata=diameter[26:40,], plot=FALSE)(warn.limits <- limits.xbar(q$center, q$std.dev, q$sizes, 2))plot(q, restore.par = FALSE)abline(h = warn.limits, lty = 3, col = "chocolate")# variable control limitsout <- c(9, 10, 30, 35, 45, 64, 65, 74, 75, 85, 99, 100)diameter <- qcc.groups(pistonrings$diameter[-out], sample[-out])qcc(diameter[1:25,], type="xbar")qcc(diameter[1:25,], type="R")qcc(diameter[1:25,], type="S")qcc(diameter[1:25,], type="xbar", newdata=diameter[26:40,])qcc(diameter[1:25,], type="R", newdata=diameter[26:40,])qcc(diameter[1:25,], type="S", newdata=diameter[26:40,])detach(pistonrings)#### Attribute data ##data(orangejuice)attach(orangejuice)qcc(D[trial], sizes=size[trial], type="p")# remove out-of-control points (see help(orangejuice) for the reasons)inc <- setdiff(which(trial), c(15,23))q1 <- qcc(D[inc], sizes=size[inc], type="p")qcc(D[inc], sizes=size[inc], type="p", newdata=D[!trial], newsizes=size[!trial]) detach(orangejuice)data(orangejuice2)attach(orangejuice2)names(D) <- sampleqcc(D[trial], sizes=size[trial], type="p")q2 <- qcc(D[trial], sizes=size[trial], type="p", newdata=D[!trial], newsizes=size[!trial])detach(orangejuice2)# put on the same graph the two orange juice samplesoldpar <- par(no.readonly = TRUE)par(mfrow=c(1,2), mar=c(5,5,3,0))plot(q1, title="First samples", ylim=c(0,0.5), add.stats=FALSE, restore.par=FALSE)par("mar"=c(5,0,3,3), yaxt="n")plot(q2, title="Second samples", add.stats=FALSE, ylim=c(0,0.5))par(oldpar)data(circuit)attach(circuit)qcc(x[trial], sizes=size[trial], type="c")# remove out-of-control points (see help(circuit) for the reasons)inc <- setdiff(which(trial), c(6,20))qcc(x[inc], sizes=size[inc], type="c", labels=inc)qcc(x[inc], sizes=size[inc], type="c", labels=inc, newdata=x[!trial], newsizes=size[!trial], newlabels=which(!trial))qcc(x[inc], sizes=size[inc], type="u", labels=inc, newdata=x[!trial], newsizes=size[!trial], newlabels=which(!trial))detach(circuit)data(pcmanufact)attach(pcmanufact)qcc(x, sizes=size, type="u")detach(pcmanufact)data(dyedcloth)attach(dyedcloth)qcc(x, sizes=size, type="u")# standardized control chartq <- qcc(x, sizes=size, type="u", plot=FALSE)z <- (q$statistics - q$center)/sqrt(q$center/q$size)plot(z, type="o", ylim=range(z,3,-3), pch=16)abline(h=0, lty=2)abline(h=c(-3,3), lty=2)detach(dyedcloth)#### Continuous one-at-time data ### viscosity data (Montgomery, pag. 242)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)qcc(x, type="xbar.one")qcc(x, type="xbar.one", std.dev = "SD")
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