Controlchartsslides.ppt

© 2012 International Institute for Learning, Inc.

DS – 624
Quality Management

© 2014 International Institute for Learning, Inc.
7-00-*
IIL-LSSGB

Learning objectives

Articulate what is a control chart

Describe the elements of a control chart

Describe the types of control charts

Articulate how to use control charts

Lean Six Sigma Green Belt
Introduction to Control
IIL-LSSGB

7-00-*

Roadmap – Control Phase
Define
Houston, we
have a problem
Measure
How bad is it?
Analyze
Find the
Root Cause
Improve
Fix it- Eliminate
Root Cause
Control
Make it
stay fixed
Control Plan
Control Charts
Project Close Out

Lean Six Sigma Green Belt
Introduction to Control
IIL-LSSGB
This roadmap shows the activities and tools of the Control phase. It is designed to give you a good overview of the main steps in Control.

7-00-*

Monitoring the Process

Review of Control Chart Fundamentals

Lean Six Sigma Green Belt
7_TP-*
Transition Planning
IIL-LSSGB

SPC in Control Phase
In the Control Phase, Control Charts are the primary tool for real-time process monitoring – to drive appropriate corrective action.

Lean Six Sigma Green Belt
Transition Planning
IIL-LSSGB

7_TP-*

Chart1

16 30.4848484848 -2.6767206641 63.6464176338

14 30.4848484848 -2.6767206641 63.6464176338

19 30.4848484848 -2.6767206641 63.6464176338

25 30.4848484848 -2.6767206641 63.6464176338

32 30.4848484848 -2.6767206641 63.6464176338

36 30.4848484848 -2.6767206641 63.6464176338

48 30.4848484848 -2.6767206641 63.6464176338

24 30.4848484848 -2.6767206641 63.6464176338

17 30.4848484848 -2.6767206641 63.6464176338

18 30.4848484848 -2.6767206641 63.6464176338

28 30.4848484848 -2.6767206641 63.6464176338

22 30.4848484848 -2.6767206641 63.6464176338

33 30.4848484848 -2.6767206641 63.6464176338

71 30.4848484848 -2.6767206641 63.6464176338

45 30.4848484848 -2.6767206641 63.6464176338

32 30.4848484848 -2.6767206641 63.6464176338

17 30.4848484848 -2.6767206641 63.6464176338

25 30.4848484848 -2.6767206641 63.6464176338

16 30.4848484848 -2.6767206641 63.6464176338

25 30.4848484848 -2.6767206641 63.6464176338

36 30.4848484848 -2.6767206641 63.6464176338

27 30.4848484848 -2.6767206641 63.6464176338

27 30.4848484848 -2.6767206641 63.6464176338

19 30.4848484848 -2.6767206641 63.6464176338

15 30.4848484848 -2.6767206641 63.6464176338

26 30.4848484848 -2.6767206641 63.6464176338

29 30.4848484848 -2.6767206641 63.6464176338

45 30.4848484848 -2.6767206641 63.6464176338

33 30.4848484848 -2.6767206641 63.6464176338

27 30.4848484848 -2.6767206641 63.6464176338

26 30.4848484848 -2.6767206641 63.6464176338

88 30.4848484848 -2.6767206641 63.6464176338

45 30.4848484848 -2.6767206641 63.6464176338

Individuals – Installation Time

Mean CL: 30.48

Sheet1

Day Billing Errors Wk 1 2 3 4 5 FW Cars Visual Defects DPU Installation Time

1 13 1 55 75 65 80 57 1 10 60 6 16

2 9 2 90 95 60 60 85 2 12 75 6.3 14

3 7 3 100 75 75 65 62 3 7 42 6 19

4 12 4 70 110 65 60 100 4 14 77 5.5 25

5 13 5 55 65 95 70 70 5 12 69 5.8 32

6 10 6 75 85 65 65 100 6 12 72 6 36

7 24 7 120 110 65 85 50 7 13 76 5.8 48

8 12 8 65 65 90 90 60 8 10 55 5.5 24

9 13 9 70 85 60 65 75 9 9 51 5.7 17

10 11 10 100 80 65 60 90 10 14 78 5.6 18

11 8 11 13 72 5.5 28

12 8 12 13 77 5.9 22

13 10 13 12 74 6.2 33

14 13 14 10 57 5.7 71

15 11 15 11 62 5.6 45

16 14 16 13 41 3.2 32

17 12 17 11 30 2.7 17

18 10 18 15 45 3 25

19 11 19 15 42 2.8 16

20 9 20 14 40 2.9 25

36

27

27

19

15

26

29

45

33

27

26

88

45

Indiv

SigmaXL Control Charts $M$1 IND 12.46875 30.4848484848 imean Installation Time

Sheet1 1 16 16 -2.6767206641 30.4848484848 63.6464176338 indvmean

33 2 14 2 14 -2.6767206641 30.4848484848 63.6464176338

34 3 19 5 19 -2.6767206641 30.4848484848 63.6464176338

4 25 6 25 -2.6767206641 30.4848484848 63.6464176338

5 32 7 32 -2.6767206641 30.4848484848 63.6464176338

6 36 4 36 -2.6767206641 30.4848484848 63.6464176338

M$34 7 48 12 48 -2.6767206641 30.4848484848 63.6464176338

8 24 24 24 -2.6767206641 30.4848484848 63.6464176338

9 17 7 17 -2.6767206641 30.4848484848 63.6464176338

10 18 1 18 -2.6767206641 30.4848484848 63.6464176338

11 28 10 28 -2.6767206641 30.4848484848 63.6464176338

12 22 6 22 -2.6767206641 30.4848484848 63.6464176338

13 33 11 33 -2.6767206641 30.4848484848 63.6464176338

14 71 38 71 -2.6767206641 30.4848484848 63.6464176338

15 45 26 45 -2.6767206641 30.4848484848 63.6464176338

16 32 13 32 -2.6767206641 30.4848484848 63.6464176338

17 17 15 17 -2.6767206641 30.4848484848 63.6464176338

18 25 8 25 -2.6767206641 30.4848484848 63.6464176338

19 16 9 16 -2.6767206641 30.4848484848 63.6464176338

20 25 9 25 -2.6767206641 30.4848484848 63.6464176338

21 36 11 36 -2.6767206641 30.4848484848 63.6464176338

22 27 9 27 -2.6767206641 30.4848484848 63.6464176338

23 27 0 27 -2.6767206641 30.4848484848 63.6464176338

24 19 8 19 -2.6767206641 30.4848484848 63.6464176338

25 15 4 15 -2.6767206641 30.4848484848 63.6464176338

26 26 11 26 -2.6767206641 30.4848484848 63.6464176338

27 29 3 29 -2.6767206641 30.4848484848 63.6464176338

28 45 16 45 -2.6767206641 30.4848484848 63.6464176338

29 33 12 33 -2.6767206641 30.4848484848 63.6464176338

30 27 6 27 -2.6767206641 30.4848484848 63.6464176338

31 26 1 26 -2.6767206641 30.4848484848 63.6464176338

32 88 62 88 -2.6767206641 30.4848484848 63.6464176338

33 45 43 45 -2.6767206641 30.4848484848 63.6464176338

Indiv

Individuals – Installation Time

Mean CL: 30.48

Control Chart Basics
A picture of a process over time (e.g., Time Series Plot)

With Control Limits that help distinguish between Special Cause variation (abnormal) and Common Cause variation (normal or systemic)

The Control Limits are based on the data, not customer or internal requirements
Control Limits
Special Cause

Lean Six Sigma Green Belt
Transition Planning
IIL-LSSGB

7_TP-*

Chart1

16 30.4848484848 -2.6767206641 63.6464176338

14 30.4848484848 -2.6767206641 63.6464176338

19 30.4848484848 -2.6767206641 63.6464176338

25 30.4848484848 -2.6767206641 63.6464176338

32 30.4848484848 -2.6767206641 63.6464176338

36 30.4848484848 -2.6767206641 63.6464176338

48 30.4848484848 -2.6767206641 63.6464176338

24 30.4848484848 -2.6767206641 63.6464176338

17 30.4848484848 -2.6767206641 63.6464176338

18 30.4848484848 -2.6767206641 63.6464176338

28 30.4848484848 -2.6767206641 63.6464176338

22 30.4848484848 -2.6767206641 63.6464176338

33 30.4848484848 -2.6767206641 63.6464176338

71 30.4848484848 -2.6767206641 63.6464176338

45 30.4848484848 -2.6767206641 63.6464176338

32 30.4848484848 -2.6767206641 63.6464176338

17 30.4848484848 -2.6767206641 63.6464176338

25 30.4848484848 -2.6767206641 63.6464176338

16 30.4848484848 -2.6767206641 63.6464176338

25 30.4848484848 -2.6767206641 63.6464176338

36 30.4848484848 -2.6767206641 63.6464176338

27 30.4848484848 -2.6767206641 63.6464176338

27 30.4848484848 -2.6767206641 63.6464176338

19 30.4848484848 -2.6767206641 63.6464176338

15 30.4848484848 -2.6767206641 63.6464176338

26 30.4848484848 -2.6767206641 63.6464176338

29 30.4848484848 -2.6767206641 63.6464176338

45 30.4848484848 -2.6767206641 63.6464176338

33 30.4848484848 -2.6767206641 63.6464176338

27 30.4848484848 -2.6767206641 63.6464176338

26 30.4848484848 -2.6767206641 63.6464176338

88 30.4848484848 -2.6767206641 63.6464176338

45 30.4848484848 -2.6767206641 63.6464176338

Individuals – Installation Time

Mean CL: 30.48

Sheet1

Day Billing Errors Wk 1 2 3 4 5 FW Cars Visual Defects DPU Installation Time

1 13 1 55 75 65 80 57 1 10 60 6 16

2 9 2 90 95 60 60 85 2 12 75 6.3 14

3 7 3 100 75 75 65 62 3 7 42 6 19

4 12 4 70 110 65 60 100 4 14 77 5.5 25

5 13 5 55 65 95 70 70 5 12 69 5.8 32

6 10 6 75 85 65 65 100 6 12 72 6 36

7 24 7 120 110 65 85 50 7 13 76 5.8 48

8 12 8 65 65 90 90 60 8 10 55 5.5 24

9 13 9 70 85 60 65 75 9 9 51 5.7 17

10 11 10 100 80 65 60 90 10 14 78 5.6 18

11 8 11 13 72 5.5 28

12 8 12 13 77 5.9 22

13 10 13 12 74 6.2 33

14 13 14 10 57 5.7 71

15 11 15 11 62 5.6 45

16 14 16 13 41 3.2 32

17 12 17 11 30 2.7 17

18 10 18 15 45 3 25

19 11 19 15 42 2.8 16

20 9 20 14 40 2.9 25

36

27

27

19

15

26

29

45

33

27

26

88

45

Indiv

SigmaXL Control Charts $M$1 IND 12.46875 30.4848484848 imean Installation Time

Sheet1 1 16 16 -2.6767206641 30.4848484848 63.6464176338 indvmean

33 2 14 2 14 -2.6767206641 30.4848484848 63.6464176338

34 3 19 5 19 -2.6767206641 30.4848484848 63.6464176338

4 25 6 25 -2.6767206641 30.4848484848 63.6464176338

5 32 7 32 -2.6767206641 30.4848484848 63.6464176338

6 36 4 36 -2.6767206641 30.4848484848 63.6464176338

M$34 7 48 12 48 -2.6767206641 30.4848484848 63.6464176338

8 24 24 24 -2.6767206641 30.4848484848 63.6464176338

9 17 7 17 -2.6767206641 30.4848484848 63.6464176338

10 18 1 18 -2.6767206641 30.4848484848 63.6464176338

11 28 10 28 -2.6767206641 30.4848484848 63.6464176338

12 22 6 22 -2.6767206641 30.4848484848 63.6464176338

13 33 11 33 -2.6767206641 30.4848484848 63.6464176338

14 71 38 71 -2.6767206641 30.4848484848 63.6464176338

15 45 26 45 -2.6767206641 30.4848484848 63.6464176338

16 32 13 32 -2.6767206641 30.4848484848 63.6464176338

17 17 15 17 -2.6767206641 30.4848484848 63.6464176338

18 25 8 25 -2.6767206641 30.4848484848 63.6464176338

19 16 9 16 -2.6767206641 30.4848484848 63.6464176338

20 25 9 25 -2.6767206641 30.4848484848 63.6464176338

21 36 11 36 -2.6767206641 30.4848484848 63.6464176338

22 27 9 27 -2.6767206641 30.4848484848 63.6464176338

23 27 0 27 -2.6767206641 30.4848484848 63.6464176338

24 19 8 19 -2.6767206641 30.4848484848 63.6464176338

25 15 4 15 -2.6767206641 30.4848484848 63.6464176338

26 26 11 26 -2.6767206641 30.4848484848 63.6464176338

27 29 3 29 -2.6767206641 30.4848484848 63.6464176338

28 45 16 45 -2.6767206641 30.4848484848 63.6464176338

29 33 12 33 -2.6767206641 30.4848484848 63.6464176338

30 27 6 27 -2.6767206641 30.4848484848 63.6464176338

31 26 1 26 -2.6767206641 30.4848484848 63.6464176338

32 88 62 88 -2.6767206641 30.4848484848 63.6464176338

33 45 43 45 -2.6767206641 30.4848484848 63.6464176338

Indiv

Individuals – Installation Time

Mean CL: 30.48

Interpreting Control Charts
Signals of being out-of-control
1 or more points outside control limits
2 out of 3 consecutive points on same side of center line in Zone A or beyond
4 out of 5 consecutive points are on the same side of center line in Zone B or beyond
15 consecutive points in Zone C (above or below mean); i.e., “hugging the average”
8 consecutive points

in Zone B or beyond (on either side

of the center line)

1 or more points outside control limits:
This type of pattern indicates a special cause of variation has occurred. Focus should be on pinpointing what was different in the process at the time the data was generated.
2 out of 3 consecutive points on the same side of centerline in Zone A or beyond:
Could be an early warning signal of a process shift. Depending on whether the shift direction is desirable or not, the team should work to identify what the change was that caused the shift so it can be eliminated or preserved.
4 out of 5 consecutive points on the same side of the center line in Zone B or beyond:
Another early warning signal of a process shift.

Lean Six Sigma Green Belt
Transition Planning
7_TP-*
IIL-LSSGB

Types of Control Charts: Selection Tree

Start
I-MR
P-Chart
Xbar-R

Xbar-S
Chart
Yes
No
Yes
Yes
No
Subgroups
Individuals
Occurrences & non-Occurrences
(Discr. Proportion)
Only occurrences
(Discr. Count)
Continuous
No
Discrete

Type of
Data

Individuals or
subgroups?

Is subgroup
size >or=10?

What is
counted?

Equal
subgroup
sizes?

U Chart

NP-Chart

C Chart

Equal
subgroup
sizes?

Lean Six Sigma Green Belt
Transition Planning
IIL-LSSGB
Use this as a roadmap for selecting your control chart.
7_TP-*

Discrete Data Control Charts

P-Chart

U Chart

NP Chart

C Chart

Lean Six Sigma Green Belt
Transition Planning
IIL-LSSGB
Use this as a roadmap for selecting your control chart.
7_TP-*

Continuous Data Control Charts

I-MR Chart
Xbar-R Chart

Xbar-S
Chart

Lean Six Sigma Green Belt
Transition Planning
IIL-LSSGB
Use this as a roadmap for selecting your control chart.
7_TP-*

Select the appropriate Control Chart
A process team will be tracking the proportion of internal audit reports with incomplete data sent week. The number of reports sent each week is 100.

Start
Yes
Occurrences & non-Occurrences
(Discr. Proportion)
Discrete

Type of
Data

What is
counted?

Equal
subgroup
sizes?

NP Chart

Lean Six Sigma Green Belt
Transition Planning
IIL-LSSGB
7_TP-*

Select the appropriate Control Chart
A process team will be measuring the time required to complete the user acceptance testing of product features. They are taking subgroups of five test cases per day.

Start
Xbar-R
Xbar-S
Chart
No
Subgroups
Continuous

Type of
Data

Individuals or
subgroups?

Is subgroup
size >or=10?

Lean Six Sigma Green Belt
Transition Planning
IIL-LSSGB
7_TP-*

Response Planning

Lean Six Sigma Green Belt
Transition Planning
IIL-LSSGB

7_TP-*

Closed Loop Corrective Action
A point above the UCL is a control rule violation.
What process parameter(s) require response & what should the response be (based on magnitude of the problem or alarm)?

Thickness
17.5

5.0

7.5

10.0

12.5

15.0

17.5

20.0

5

10

15

20

25

30

35
Target =10.46
LCL=5.22
UCL=15.70

A “closed loop” plan involves a procedure for documenting discrepancies, defects or out-of-control situations, guidelines for action, and specific response guidelines.
Lean Six Sigma Green Belt
Transition Planning
7_TP-*
IIL-LSSGB

Learning objectives

Articulate what is a control chart

Describe the elements of a control chart

Describe the types of control charts

Articulate how to use control charts

Lean Six Sigma Green Belt
Introduction to Control
IIL-LSSGB

7-00-*

© 2012 International Institute for Learning, Inc.

Thank you!

© 2014 International Institute for Learning, Inc.
7-00-*
IIL-LSSGB

Mean CL: 30.48

-2.68

63.65

-7.21

2.79

12.79

22.79

32.79

42.79

52.79

62.79

72.79

82.79

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Individuals – Installation Time

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