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QRKT_MOVING_RANGE_SHEWHART_K - Algorithms for moving R-chart with group size 2 for n=1

QRKT_MOVING_RANGE_SHEWHART_K - Algorithms for moving R-chart with group size 2 for n=1

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Functionality

In Customizing enter the function module QRKT_MOVING_RANGE_SHEWHART_K for a track of a quality control chart, if you want to represent the dispersion of the process using the distance of mean or original values for successive samples.

You can enter factors for calculating control limits in the parameter settings for the module. To suppress the corresponding control limit, enter 0. The dispersion parameter required for calculating the distribution of the mean values is estimated using the differences between successive mean values (moving range).

r_bar = (dist(x2 - x1) + ... + dist(xm - xm-1)) / (m - 1)
s = r_bar / 1,1283791671
UAL = r_bar + k * 0,8525024664 * s
LAL = r_bar - k * 0,8525024664 * s

If the calculation of a limit results in a negative value, the system corrects the limit to 0.

Example

If you want to define action limits at an interval of 3 standard deviations from the center line and you do not want to have warning limits, choose the following parameter values:

Parameter 1,,3,000000
Parameter 2,,0,000000
Parameter 3,,0,000000
Parameter 4,,3,000000

Notes

It is advisable to use this control chart for sample size n=1. You can also add a mean value chart to this chart, and use the combination as a two-track chart to monitor process location and dispersion.

Further information

You can find more information on QM quality control charts in the documentation for the Implementation Guide.

Literature

  • G.Barrie Wetherill, Don W.Brown, Statistical Process Control. Theory and practice. Chapman & Hall, London 1995





Parameters

ES_QRKDY
E_LIMITRC
E_QAST
E_TESTSRC
I_CALCULATE_LIMITS
I_FPAR1
I_FPAR2
I_FPAR3
I_FPAR4
I_QASH
I_QAST
I_QPSH
I_STRUCTURE_OF_RESULTS
T_RESULTSTAB
T_SPURTAB

Exceptions

COMPUTING_ERROR
INVALID_STRUCTURE
MASTER_DATA_ERROR
MISSING_DATA
PROGRAMMING_ERROR

Function Group

QRKT

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