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BS 5703-3:2003

$167.15

Guide to data analysis and quality control using cusum techniques – Cusum methods for process/quality control using measured data

Published By Publication Date Number of Pages
BSI 2003 40
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PDF Pages PDF Title
1 BRITISH STANDARD
2 Committees responsible for this British Standard
3 Contents
5 Introduction
1 Scope
2 Normative references
3 Terms and definitions
4 Symbols (and abbreviated terms)
6 5 Cusum methods for process/quality control
5.1 Definition of a process
5.2 Process parameters
5.3 Product characteristics
7 5.4 Nature of changes to be detected
8 5.5 Selecting target values
9 6 Cusum schemes for monitoring mean values
6.1 Standard schemes
Figure 1 – Flowchart for setting up a cusum scheme to monitor the mean value
10 Table 1 – Standard cusum schemes for subgroup means
11 Table 2 – Comparison of performance of standard cusum schemes for subgroup means
12 Table 3
13 Table 4 – Table for cusum calculations
14 Figure 2 – Example cusum graph paper
15 Figure 3 – Cusum mask
16 Figure 4 – An example of an out-of-control cusum plot
18 Figure 5 – Schematic example of a look-up graph for the shift from target
6.2 Limitations of standard schemes
19 6.3 Design of specific “tailored” cusum schemes
Figure 6 – Intercept chart for mask parameters (assuming a normal variable)
20 7 Cusum schemes for monitoring variation
7.1 General
7.2 Cusum schemes using subgroup ranges
21 Figure 7 – Flowchart for setting up a cusum scheme to monitor the range
22 Table 5 – Standard cusum schemes for subgroup ranges
23 Table 6 – Comparison of performance (ARL) of standard cusum schemes for subgroup ranges
24 Table 7 – Cusum graph paper for range scale coefficients
26 7.3 Cusum schemes using subgroup standard deviations
Table 8 – Standard cusum schemes for subgroup standard deviations
27 Table 9 – Comparison of performance (ARL) of standard cusum schemes for subgroup standard deviations
28 Table 10
29 Table 11 – Cusum graph paper scale coefficients for within-subgroup standard deviation cusum
8 Special situations
8.1 Handling between-subgroup variation
8.2 Cusum schemes for individual data points
30 8.3 Serial dependence between observations
Table 12 – Critical intervals for the correlation coefficient
31 8.4 Handling outliers (results that have extreme values far removed from the main body of the data)
32 Annex A (informative) Examples
A.1 Cusum scheme for one-at-a-time data
A.1.1 Case information
Table A.1 – Table for cusum calculations
33 Figure A.1 – Cusum plot and mask for mean
34 Figure A.2 – Cusum plot and mask for range
35 A.2 Cusum scheme for subgroup means and ranges data
A.2.2 Case information
Table A.2 – Table for cusum calculations (for subgroup)
36 Figure A.3 – Cusum plot and mask for mean
37 Figure A.4 – Cusum plot and mask for range
BS 5703-3:2003
$167.15