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BS 5703-1:2003

BS 5703-1:2003

$167.15

Guide to data analysis and quality control using cusum techniques – Uses and value of cusum charts in business, industry, commerce and public service

Published By Publication Date Number of Pages
BSI 2003 36
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PDF Catalog

PDF Pages PDF Title
1 BRITISH STANDARD
2 Committees responsible for this British�Standard
3 Contents
7 Introduction
8 1 Scope
2 Normative references
3 Terms and definitions
4 Principal features of cumulative sum (cusum) charts
9 5 Basic steps in the construction of cusum charts
6 Example 1: measured data
6.1 The process
6.2 Simple plot of results
Figure 1a) – Simple plot of motor voltages
10 6.3 Standard control chart for individuals
Figure 1b) – Standard control chart for individuals
6.4 Standard moving average graphs
11 Figure 1c) – Plot of moving averages of 3 and 10
6.5 Cusum chart: overall perspective
Figure 1d) – Cusum chart
12 6.6 Cusum chart: construction
Table 1 – Tabular arrangement for determining cusum values from a sequence of individual values
13 6.7 Cusum chart: interpretation
Table 2 – Imaginary motor data to illustrate the basic interpretation of a cusum chart
14 Figure 2 – Cusum chart of imaginary motor voltage data to illustrate its interpretation
15 Table 3 – Average voltages for motors in terms of variable moving average periods
6.8 Manhattan diagram
16 Figure 3a) – Manhattan plot of motor data
Figure 3b) – Cusum plot of motor data
Figure 3c) – Standard plot of original motor data
17 7 Example 2: binomial data
7.1 Introduction
7.2 The process
7.3 Cusum chart construction
18 Table 4 – Snapshot of detailed calculation of cusum values for piston pass/fail results
19 Figure 4 – Cusum chart for piston yield in sequence of casting
7.4 Cusum chart interpretation
20 7.5 Manhattan diagram
Figure 5 – Manhattan diagram of piston yield
8 Example 3: count data
8.1 Introduction
8.2 The process
21 Table 5 – Year by year injuries per month
8.3 Simple plot of results
Figure 6 – Direct plot of injuries per month
22 8.4 Cusum chart
23 Figure 7 – Cusum with radials indicating average values corresponding to key slopes
9 Example 4: effect of choice of reference value on cusum chart
9.1 Introduction
24 9.2 The process
Table 6 – Loss in profits per fortnight due to stock-outs
9.3 Simple plot of results
Figure 8a) – Plot of loss of profit per fortnight due to stock-outs of standard items over one year
9.4 Comparison of two cusum plots with different reference values
25 Table 7 – Tabulation of cusum values for the sequence of stock-out profit losses
Figure 8b) – Cusum chart with reference value of zero (the preferred value)
26 Figure 8c) Cusum chart with reference value of £4 792 (the overall average value)
10 Example 5: effect of gradual rather than step change in cusum chart
10.1 Introduction
27 10.2 The process and cusum
Figure 9 – Cusum for fuel consumption
11 Case Study: productivity application
11.1 Aims and objectives
28 Table 8 – Process productivity data
11.2 Preliminary evaluation of incentive scheme
Figure 10 – Cusum of productivity: reference value = 905�kg per person per week
29 11.3 Final evaluation of incentive scheme
Figure 11 – Productivity cusum with slope indicator: reference value = 950
30 Table 9 – Condensed results of effect of incentive scheme on amount and variation in productivity
11.4 Ongoing monitor of productivity
12 Review of cusum fundamentals
12.1 Basic requirements
12.2 Data suitability for cusum charting
31 12.3 Data sequencing for cusum charting
32 12.4 Choice of reference, or target, value
33 12.5 Typical uses of cusum charts
12.6 Summary of advantages of the cusum method
34 Table 10 – Derivation of cusum plots of

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BS 5703-1:2003
$167.15