X-bar & S Chart VI
- Updated2024-11-20
- 6 minute(s) read
Computes points and limits for X-bar and S control Charts - control charts for mean and sample standard deviation. A range of indices for samples to be used and indices to ignore in the control calculation can also be specified. The actual number of samples used to calculate the control limits is supplied. FORMULAS: UCLx = x-bar-bar + stderr mult x S-bar/(c4 x sqrt(n)) CLx = x-bar-bar LCLx = x-bar-bar - stderr mult x S-bar/(c4 x sqrt(n)) standard error = S-bar/(c4 x sqrt(n)) UCLs = S-bar+stderr mult x S-bar x sqrt(1- c42)/c4 CLs = S-bar LCLs = S-bar-stderr mult x S-bar x sqrt(1- c42)/c4 standard error = S-bar x sqrt(1- c42)/c4

Inputs/Outputs
chart limit src
—
chart limit src specifies whether or not to use standard values for the chart limit calculations. If unwired, this cluster defaults to the common case where the chart limits are calculated from the data in the input sample array. You do not have to wire this cluster unless you want the chart limits to be calculated from standard values. When using standard values, the center line for the X-bar control chart, X-bar-bar, is set to std mean, and the center line for the s control chart, s-bar, is set to std s0, or std sigma*c4.
samples X
—
s is the standard deviation of each input sample. This array is plotted on the s control chart.
index spec
—
index spec is used to choose a range of samples in c to use for the control limit calculation. If you do not wire this cluster, all elements in c input array are included in the control limit calculation.
indices to ignore
—
indices to ignore contains indices of samples to exclude from the control limit calculation, which is useful for eliminating out of control points from the control limit calculation. By default, this is an empty array.
std error multiplier (3)
—
(DBL, default = 3.0). Ordinarily you would leave this unwired and the control chart limits are computed as +/- 3.0 standard errors.
X-bar-bar
—
(DBL) - this is an estimate of the process mean based on the grand average of the samples included in the control limit calculation.
X-bar
—
s is the standard deviation of each input sample. This array is plotted on the s control chart.
X-bar chart limits
—
s is the standard deviation of each input sample. This array is plotted on the s control chart.
s
—
s is the standard deviation of each input sample. This array is plotted on the s control chart.
s chart limits
—
s is the standard deviation of each input sample. This array is plotted on the s control chart.
s-bar/c4
—
This is an estimate of the process sigma (standard deviation) based on the average standard deviation of the samples included in the control limit calculation.
# samples in calc
—
(I32) The number of samples used in the control limits calculation. |
chart limit src
—
source
—
std mean
—
samples X
—
start index
—
indices to ignore
—
X-bar-bar
—
X-bar
—
X-bar chart limits
—
# samples in calc
—