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Introduction to
STATISTICAL
PROCESS
CONTROL
TECHNIQUES
SPC OVERVIEW
Preface
1
New Demands On Systems Require Action
1
Socratic SPC -- Overview Q&A
2
Steps Involved In Using Statistical Process Control
6
Specific SPC Tools And Procedures
7
Identification and Data gathering
7
Pareto Charts
7
Analysis Of Selected Problem
9
Cause-and-Effect or Fishbone Diagram
9
Flowcharting
10
Scatter Plots
11
Data Gathering And Initial Charting
12
Check Sheets
12
Histograms
12
Probability Plot
13
Control Charts
14
Fundamental Concepts And Key Terms
14
Zones In Control Charts
15
Control Limits
16
Subgroups
17
Phases
17
Using Process Control Charts
18
Data Definitions For Proper Chart Selection
18
2007 Statit Software, Inc., 1128 NE 2nd Street, Ste 108, Corvallis, Oregon 97330
iii
Quality Control Today
1
Prioritizing
7
Rules Testing
15
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SPC OVERVIEW
Types Of Charts Available For The Data Gathered
20
Variable Data Charts – Individual, Average And Range Charts
20
Average Charts – X-bar Chart
21
Range Chart – R-Chart
22
Moving Range Chart – MR Chart
23
Combination Charts
24
Individual And Range Charts – IR Charts
24
Average & Range Charts – X-Bar And R Charts
25
X-Bar Standard Deviation Charts – X-Bar And S Charts
26
Process Capability Chart – cp Chart
27
Attribute Data Charts
28
Attribute Charts – Defects and Rejects Charts
29
c Chart – Constant Subgroup Size
29
u Chart – Varying Subgroup Size
30
Rejects Charts
31
np Chart – Number of Rejects Chart for Constant Subgroup Size
31
p Chart – Percentage Chart for Varying Subgroup Size
32
Conclusion – Time to put it all together…
33
Appendix 1: AT&T’s Statistical Quality Control Standards
34
Glossary
36
Bibliography
41
URLs
41
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Individual Charts – I chart
20
Defects Charts
29
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Preface: by Marilyn K. Hart, Ph.D. & Robert F. Hart, Ph.D.
Quality Control Today
In this era of strains on the resources and rising costs of manufacturing, it becomes
increasingly apparent that decisions must be made on facts, not just opinions.
Consequently, data must be gathered and analyzed. This is where statistical process
control (SPC) comes in. For over 70 years, the manufacturing arena has benefited from
the tools of SPC that have helped guide the decision-making process. In particular, the
control chart has helped determine whether special-cause variation is present implying
that action needs to be taken to either eliminate that cause if it has a detrimental effect on
the process or to make it standard operating procedure if that cause has a beneficial
effect on the process. If no special-cause variation is found to be present, SPC helps
define the capability of the stable process to judge whether it is operating at an
acceptable level.
The strength of SPC is its simplicity. And with the use Statit on the computer to make the
calculations and to plot the charts, the simplicity becomes complete.
New Demands On Systems Require Action
Accountability with hard data, not fuzzy opinions, is being demanded. Existing processes
must be examined and new ones discovered. The good news is that improved quality
inherently lowers costs as it provides a better product and/or service. Statistical Process
Control provides accountability and is an essential ingredient in this quality effort.
Statistical Process Control is not an abstract theoretical exercise for mathematicians. It is
a hands-on endeavor by people who care about their work and strive to improve
themselves and their productivity every day. SPC charts are a tool to assist in the
management of this endeavor. The decisions about what needs to be improved, the
possible methods to improve it, and the steps to take after getting results from the charts
are all made by humans and based on wisdom and experience. Everyone should be
involved in this effort!
SPC OVERVIEW
Socratic SPC -- Overview Q&A
So what is Statistical Process Control?
Statistical Process Control is an analytical decision making tool which allows you to
see when a process is working correctly and when it is not. Variation is present in
any process, deciding when the variation is natural and when it needs correction is
the key to quality control.
Where did this idea originate?
The foundation for Statistical Process Control was laid by Dr. Walter Shewart working
in the Bell Telephone Laboratories in the 1920s conducting research on methods to
improve quality and lower costs. He developed the concept of control with regard to
variation, and came up with Statistical Process Control Charts which provide a simple
way to determine if the process is in control or not.
Dr. W. Edwards Deming built upon Shewart’s work and took the concepts to Japan
following WWII. There, Japanese industry adopted the concepts whole-heartedly.
The resulting high quality of Japanese products is world-renowned. Dr. Deming is
famous throughout Japan as a "God of quality".
Today, SPC is used in manufacturing facilities around the world.
What exactly are process control charts?
Control charts show
the variation in a
measurement during
the time period that
the process is
observed.
In contrast, bell-curve
type charts, such as
histograms or
process capability
charts, show a
summary or snapshot
of the results.
Process control charts are fairly simple-looking connected-point charts. The points
are plotted on an x/y axis with the x-axis usually representing time. The plotted
points are usually averages of subgroups or ranges of variation between subgroups,
and they can also be individual measurements.
Some additional horizontal lines representing the average measurement and control
limits are drawn across the chart. Notes about the data points and any limit violations
can also be displayed on the chart.
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