qcc (version 2.6)

stats.xbar: Statistics used in computing and drawing a Shewhart xbar chart

Description

These functions are used to compute statistics required by the xbar chart.

Usage

stats.xbar(data, sizes) sd.xbar(data, sizes, std.dev = c("UWAVE-R", "UWAVE-SD", "MVLUE-R", "MVLUE-SD", "RMSDF")) limits.xbar(center, std.dev, sizes, conf)

Arguments

data
the observed data values
center
sample/group center statistic
sizes
samples sizes. Optional
std.dev
within group standard deviation. Optional for sd.xbar function, required for limits.xbar. See details.
conf
a numeric value used to compute control limits, specifying the number of standard deviations (if conf > 1) or the confidence level (if 0 < conf < 1).

Value

The function stats.xbar returns a list with components statistics and center.The function sd.xbar returns std.dev the standard deviation of the statistic charted. This is based on results from Burr (1969).The function limits.xbar returns a matrix with lower and upper control limits.

Details

Methods available for estimating the process standard deviation:
Method
Description
"UWAVE-R"
UnWeighted AVErage of subgroup estimates
based on subgroup Ranges
"UWAVE-SD"
UnWeighted AVErage of subgroup estimates
based on subgroup Standard Deviations
"MVLUE-R"
Minimum Variance Linear Unbiased Estimator
computed as a weighted average of subgroups
estimates based on subgroup Ranges
"MVLUE-SD"
Minimum Variance Linear Unbiased Estimator
computed as a weighted average of subgroup
estimates based on subgroup Standard Deviations
"RMSDF"
Root-Mean-Square estimator computed as a weighted average of

Method "xbar" "R"
"S" "UWAVE-R" default
default not available "UWAVE-SD"
not available default
"MVLUE-R"
not available "MVLUE-SD"
not available Method

Detailed definitions of formulae implemented are available in the SAS/QC 9.2 User's Guide.

References

Burr, I.W. (1969) Control charts for measurements with varying sample sizes. Journal of Quality Technology, 1(3), 163-167. Montgomery, D.C. (2005) Introduction to Statistical Quality Control, 5th ed. New York: John Wiley & Sons. Wetherill, G.B. and Brown, D.W. (1991) Statistical Process Control. New York: Chapman & Hall.

See Also

qcc