Foreword
Cooperating organizations
Guide
Section one. General
0 Introduction
1 Scope and general principles
2 References
3 Symbols and terminology
Section two. Preparation for cusum charting
4 Notation
5 Choice of target value (T)
6 Types of variation
7 Measures of variation
8 Scaling the chart
9 Worked example
Section three. Presentation and interpretation
10 Check list of cusum preliminaries
11 Presentation
12 Choice of chart origin
13 Calculation of local averages
14 Replotting the cusum chart
15 Examples of replotting and calculation of local
averages
16 Interpretation and diagnosis
17 Worked example: control of departmental expenditure
Appendices
A Interpretation and diagnosis of artificially
generated series
B Measures of variation
C Summary of formulae
D Manhattan diagrams
Tables
1 Data for cusum plotting
2 Data from table 1 standardized on estimate of 2.05
for sigma e
3 Textile process productivity data
4 Strength data for plastics material
5 Factors for converting mean range to an estimate of
standard deviation, sigma = R/dn
Figures
1 Conventional chart of data from table 1
2 Cusum chart of data from table 1
3 Cusum chart of data from table 1 with target value
12
4 Cusum chart of data from table 1 with target value
15 but compressed cusum scale
5 Cusum chart for data of table 1 using plotting
convention of 8.2
6 Standardized cusum chart. Data of table 1
7 Construction of cusum protractor (slope guide)
8 Cusum chart of productivity data (table 3)
9 Replotted cusum chart
10 Cusum chart for data of table 4
11 Replotted cusum chart for data of table 4
12 Cusum chart of administration expenditure on outside
clerical and punching bureaux
13 Conventional chart of typical normal series mu = 0,
sigma = 1
14 Cusum chart of typical normal series T = 0, (mu = 0,
sigma = 1)
15 Conventional chart of negative exponential
observations (mu = 1, sigma = 1)
16 Cusum chart of negative exponential observations
(T = 1, mu = 1, sigma = 1)
17 Conventional chart of normally distributed data with
changes in mean
18 Cusum chart of nomally distributed data with changes
in mean T = 0, sigma = 1
19 Conventional chart of normal series with trend of
0.05 per sample intervals
20 Cusum chart of normal series with various serial
correlations
21 Conventional charts of normal series with various
serial correlations
22 Cusum charts of normal series with various serial
correlations T = 0, sigma = 1
23 Conventional charts of normal series with various
values of sigma
24 Cusum charts of normal series with various values of
sigma
25 Conventional chart of normal series with outliers
26 Cusum chart of normal series with outliers
27 Cusum chart with Manhattan diagram