Lean Six Sigma- Analyze
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File2.pptx
What is the process flow?
Value Stream Mapping (VSM)
Analyze
Physical flow of parts
Queue of # units of inventory
Flow of manual information
Customer or Supplier
Flow of electronic information
Transport
An electronic database
# of employees
Potential improvement projects
SYMBOLS
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General Instruction: The symbols can be copied to build VSM on the page. Add and delete as required
What is the process flow?
Time Value Map
Analyze
Value Add
Non-Value Add
Time
Day, Week, Month
Day, Week, Month
Day, Week, Month
Day, Week, Month
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General Instruction: Input bars to build Time Value Map on the page. Add and delete as required
What is the process flow?
Spaghetti Diagrams
Analyze
Mail Room
Accounting
Path One
Path Two
Path Three
Path Four
Path Five
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General Instruction: Diagram the facility and the different items. The items should have different types of lines to demonstrate overlap without confusion on the page. Add and delete as required
What factor(s) make a difference?
What are the Potential Causes of the Defect?
(Enter it for your project in the form of a question)
Effect (Y)
Potential Causes (Xs)
Materials
People
Methods / Procedures
Machines / Equipment
Measurement
Identify Variation Sources (X’s)
Analyze
Fishbone Diagram*
Environment
* Also called a Cause & Effect Diagram
Sample text for you to replace
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General Instruction: Add and delete text boxes (sample text box) lines as required
Instructions for Modifying the page:
To Delete the ‘Sample text’ box: Right Click on the ‘Sample text’ box and select ‘cut’ from the drop-down menu
To Copy and Add another text box: Right Click and select ‘copy’ from the drop-down menu; Right click and select ‘paste’ from drop-down menu, drag to desired position by Right clicking once then Right clicking and holding the button down as the mouse is moved
To Delete a line: Right Click on object and select ‘Cut’ from drop-down menu
To copy a line: Right Click on object and select ‘Copy’ from pull down menu, Right Click and choose ‘Paste’ from pull down menu, Select and drag the object to the desired position on the page.
What factor(s) make a difference?
Affinity Diagrams
Analyze
Cluster 1
Cluster 3
Sub-theme
Sub-theme
Sub-theme
Cluster 2
Cluster 4
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General Instruction: Add and delete text boxes (sample text box) as required. Insert text boxes for content derived from facilitation inside of clusters.
Measles Chart
Analyze
“Measles”
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General Instruction: Insert a scanned copy of a form, machine, or other item that can be used to collect data about errors by employees. Mark directly on the item every time an error occurs. Compile all the sheets that were used and put a final copy with all the “measles” on this sheet.
| Severity Rating Scale: The Severity of a failure should it occur | Occurrence Rating Scale: The Likelihood or Frequency of Failure | Detection Rating Scale: The likelihood of a failure being Detected before its effect is realized | ||
| BAD | 10 | Injure a customer or employee | More than once per day (>30%) | Defect Caused by failure is not detectable |
| 9 | Be Illegal / Cause Controllership Issues | Once every 3-4 days (<= 30%) | Occasional units are checked for defects | |
| 8 | Render the product or service unfit for use | Once per week (<=5%) | Units are systematically sampled and inspected | |
| 7 | Cause extreme customer dissatisfaction | Once per month (<=1%) | All units are manually inspected | |
| 6 | Result in partial malfunction | Once every 3 months (<=.03%) | Units are manually inspected with mistake-proofing modifications | |
| 5 | Cause a loss of performance which is likely to result in a complaint | Once every 6 months (<= 1 per 10,000) | Process is monitored (Statistical Process Control: SPC) and manually inspected | |
| 4 | Cause a minor performance loss | Once per year (<= 6 per 100,00) | SPC is used with an immediate reaction to out of control conditions | |
| 3 | Cause a minor nuisance but be overcome with no performance loss | Once every 1-3 years (<= 3 per million | SPC as above with 100% inspection surrounding out of control conditions | |
| 2 | Be unnoticed and have only minor effect on performance | Once every 3-6 years (<=3 per 10 million) | All units are automatically inspected | |
| GOOD | 1 | Be unnoticed and not affect the performance | Once every 6-100 years (<=2 per billion) | Defect is obvious and can be kept from affecting the customer |
FMEA Scoring Guidelines
Analyze
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How Tight Does My Control Need to Be?
Analyze
Failure Modes & Effects Analysis
(Delete this box prior to tollgate)
Double Click to Open Excel Spreadsheet.
FMEA
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What factor(s) make a difference?
Identify Variation Sources (x’s)
Analyze
Type Of Data
Variation for a Time Period
Variation over time
Tools for Understanding Variation
Discrete Pareto Diagram Run Charts
Bar Charts Multi-Vari Charts
Pie Charts Control Charts
p-Chart
c-Chart
u-Chart
Individuals
Continuous Histogram Diagram Run Charts
Box Plots Multi-Vari Charts
Multi-Vari Charts Control Charts
Individuals
X-bar R-Chart
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Minitab Example Pareto
What factor(s) make a difference?
Identify Variation Sources (X’s)
Analyze
Pareto Chart
(Delete this box prior to tollgate)
For Excel: Sort Your Data, and Type in the Table Above, While also Updating the Defect Categories. The Graph Next to the Table Will Update Automatically.
For Minitab: Delete the Excel table/graph, and follow directions below to replace this graph to the right with your Minitab Chart.
Excel Spreadsheet Example Pareto
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You can either Use the Excel Pareto Chart or the Minitab Pareto chart (which you will need to copy and paste into your document). Delete the tool you don’t use.
To delete a sample chart or banner, use your mouse to select the item with one left click, right click and select ‘cut’ from the drop-down menu.
To populate a Minitab Pareto chart:
Place labels in one column and corresponding defects in another column
select Stat from Menu bar,
select Quality Tools and Pareto Chart from drop-down boxes
select radial button “chart defects table”
In ‘labels in’ field, right click to display columns at left, double click on column containing the labels
In ‘Frequencies In’ field, right click to display columns at left, double click on column containing the labels
Select ‘ok’
Right click on graphic and choose ‘copy graph’
Right click on Power Point page and choose ‘Paste’ from drop-down menu
Left click on graph to move/center on page
Identify Variation Sources (X’s)
Analyze
What factor(s) make a difference (or don’t)?
Probability Plot
Scatter Plot
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Examples of additional analysis tools. Instructions for populating in Minitab follows.
To delete a sample chart or banner, use your mouse to select the item with one left click, right click and select ‘cut’ from the drop-down menu.
Minitab Probability Plot:
select ‘Graph’ from menu bar, choose ‘Probability Plot’ from drop-down menu
Left click once in ‘Variables’ field
double click on column name at left containing the data
click on ‘ok’
right click and select ‘Copy Graph’
right click and select ‘Paste’ in Power Point slide
use mouse to select graph and position on slide
Minitab Scatter Plot:
select ‘Graph’ from menu bar, choose ‘Plot’ from drop-down menu
Left click once in ‘Y1’ field
double click on column name at left containing the data
Left click once in ‘X1’ field
double click on column name at left containing the data
click on ‘ok’
right click and select ‘Copy Graph’
right click and select ‘Paste’ in Power Point slide
use mouse to select graph and position on slide
What factor(s) make a difference?
Identify Variation Sources (X’s)
Analyze
Box Plots
Histograms
Time Series Plot
Dot Plot / Frequency Plot
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Examples of additional analysis tools. Minitab directions for populating follows.
To delete a sample chart or banner, use your mouse to select the item with one left click, right click and select ‘cut’ from the drop-down menu.
Minitab Box Plot:
select ‘Graph’ from menu bar, choose ‘Boxplot’ from drop-down menu
Left click once in ‘Y1’ field; double click on column name at left containing the data
Left click once in ‘X1’ field; double click on column name at left containing the data
click on ‘ok’; right click and select ‘Copy Graph’; right click and select ‘Paste’ in Power Point slide
use mouse to select graph and position on slide
Minitab Histogram:
select ‘Graph’ from menu bar, choose ‘Histogram’ from drop-down menu
Left click once in ‘X1’ field; double click on column name at left containing the data
click on ‘ok’; right click and select ‘Copy Graph’; right click and select ‘Paste’ in Power Point slide
use mouse to select graph and position on slide
Minitab Time Series Plot:
select ‘Graph’ from menu bar, choose ‘Time Series Plot’ from drop-down menu
Left click once in ‘Y1’ field; double click on column name at left containing the data
click on ‘ok’; right click and select ‘Copy Graph’; right click and select ‘Paste’ in Power Point slide
use mouse to select graph and position on slide
Minitab Dot/Frequency Plot:
select ‘Graph’ from menu bar, choose ‘Dotplot’ from drop-down menu
Left click once in ‘Variables’ field; double click on column name at left containing the data
click on ‘ok’; right click and select ‘Copy Graph’; right click and select ‘Paste’ in Power Point slide
use mouse to select graph and position on slide
Statistical Test Decision Tree
Analyze
START:
Is Y Continuous
or Discrete?
Is X Continuous
or Discrete?
Variation or Centering?
Chi Square
Binomial
Regression
Scatter Plot
Discrete
Discrete
Discrete
Continuous
Continuous
Continuous
Variation
Centering
Homogeneity of Variance Bartlett
Homogeneity of Variance
F-Test
Is X Continuous
or Discrete?
Normal or
non-Normal?
Normal or
non-Normal?
Homogeneity of Variance Levine
Normal
Non-Normal
Comparing Relative to a Target?
Comparing Only Two Samples?
Normal
Non-Normal
ANOVA
One Sample
T-Test
Two Sample
T-Test
No
No
Logistic
Regression
Non-Parametric Tests
Mann-Whitney
Mood’s Median
Yes
Yes
Chi Square
X (Factor)
Y (Response)
Continuous
Discrete
Continuous
Discrete
Scatter plot
Simple Regression
Multiple Regression
T-tests
ANOVA
Probability Plot
Homogeneity of Variance
Mood’s Median
Logistic Regression
Chi Square
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This is a guideline page to help you determine which tool(s) to use to analyze your data during hypothesis testing.
The regression equation is
Total time (hrs) = 2.61 + 26.0 Processing Time
Predictor Coef StDev T P
Constant 2.6116 0.5521 4.73 0.000
Processing 26.049 1.234 21.11 0.000
S = 1.497 R-Sq = 83.7% R-Sq(adj) = 83.5%
Transfer Function: Y = F(x1+x2+x3…)
(See Writing a Transfer Function in Appendix)
Identify Variation Sources (X’s)
Analyze
What factor(s) make a difference (or don’t)?
Hypothesis Testing - Regression
Example - Regression Output
State your Null Hypothesis (H0): <There is no difference between “y with x” and “y without x”>
State your Alternate Hypothesis (HA): <There is a difference between “y with x” and “y without x”>
What is the Output Measure (y)? <Describe your output measure; should it be treated as discrete or continuous?>
What is/are the Factor(s) (x)? <Describe your output measure; should it be treated as discrete or continuous?>
What is the Risk ? Alpha = 0.05
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For this example, if Alpha = 5% and P = 0.000; P< Alpha so we accept Ha and reject Ho which means there is a difference on how the factor ’Processing’ affects the Response.
State your Null Hypothesis (H0): <There is no difference between “y with x” and “y without x”>
State your Alternate Hypothesis (HA): <There is a difference between “y with x” and “y without x”>
What is the Output Measure (y)? <Describe your output measure; should it be treated as discrete or continuous?>
What is/are the Factor(s) (x)? <Describe your output measure; should it be treated as discrete or continuous?>
What is the Risk ? Alpha = 0.05
Identify Variation Sources (X’s)
Analyze
What factor(s) make a difference (or don’t)?
Hypothesis Testing - ANOVA
Source DF SS MS F P
Day 4 667.51 166.88 19.78 0.000
Error 102 860.44 8.44
Total 106 1527.96
Individual 95% CIs For Mean
Based on Pooled StDev
Level N Mean StDev -------+---------+---------+---------
Fri 19 12.184 1.924 (-----*----)
Mon 20 12.462 2.261 (----*----)
Thu 25 12.560 3.423 (---*----)
Tue 21 18.800 3.569 (----*----)
Wed 22 12.875 2.765 (----*---)
-------+---------+---------+---------
Example – ANOVA Output
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An ANOVA test is usually used for 3 or more groups being compared where the data is Continuous and Normally Distributed
Two Sample T-Test and Confidence Interval
Two sample T for A vs B
N Mean StDev SE Mean
A 20 17042 13583 3037
B 21 32362 19933 4350
95% CI for mu A - mu B: ( -26090, -4550)
T-Test mu A = mu B (vs not =): T = -2.89 P = 0.0066 DF = 35
State your Null Hypothesis (H0): <There is no difference between “y with x” and “y without x”>
State your Alternate Hypothesis (HA): <There is a difference between “y with x” and “y without x”>
What is the Output Measure (y)? <Describe your output measure; should it be treated as discrete or continuous?>
What is/are the Factor(s) (x)? <Describe your output measure; should it be treated as discrete or continuous?>
What is the Risk ? Alpha = 0.05
Identify Variation Sources (X’s)
Analyze
What factor(s) make a difference (or don’t)?
Hypothesis Testing - T-Test
Example – T-Test Output
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A T-Test is used for 2 groups being compared where data is Continuous and Normally Distributed. If data is Not-Normal, use Mood’s Median Test.
State your Null Hypothesis (H0): <There is no difference between “y with x” and “y without x”>
State your Alternate Hypothesis (HA): <There is a difference between “y with x” and “y without x”>
What is the Output Measure (y)? <Describe your output measure; should it be treated as discrete or continuous?>
What is/are the Factor(s) (x)? <Describe your output measure; should it be treated as discrete or continuous?>
What is the Risk ? Alpha = 0.05
Identify Variation Sources (X’s)
Analyze
What factor(s) make a difference (or don’t)?
Hypothesis Testing - Homogeneity of Variance
Example – HOV
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Homogeneity of Variance Test is usually used for 2 or more groups being compared where data is Continuous and IF Normally distributed, use the F-Test/Bartlett’s Test p-value; Otherwise, if data is not Normal, use Levene’s Test p-value.
Mood Median Test
Mood median test for Total time
Chi-Square = 23.23 DF = 4 P = 0.000
Individual 95.0% CIs
Day N<= N> Median Q3-Q1 ----+---------+---------+---------+--
Fri 13 6 12.00 2.75 (--+---)
Mon 13 7 12.00 2.37 (--+--)
Thu 15 10 12.00 2.00 (-+--)
Tue 1 20 18.00 5.25 (---+--------)
Wed 13 9 12.50 3.00 (---+----)
----+---------+---------+---------+--
12.0 15.0 18.0 21.0
State your Null Hypothesis (H0): <There is no difference between “y with x” and “y without x”>
State your Alternate Hypothesis (HA): <There is a difference between “y with x” and “y without x”>
What is the Output Measure (y)? <Describe your output measure; should it be treated as discrete or continuous?>
What is/are the Factor(s) (x)? <Describe your output measure; should it be treated as discrete or continuous?>
What is the Risk ? Alpha = 0.05
Identify Variation Sources (X’s)
Analyze
What factor(s) make a difference (or don’t)?
Hypothesis Testing - Moods Median
Example – Mood’s Median
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Mood’s Median test usually is used for 2 or more groups being compared, data is Continuous and not Normally distributed. Otherwise if data is Normal, T-Test or ANOVA can be used.
Identify Variation Sources (X’s)
Analyze
What factor(s) make a difference (or don’t)?
Hypothesis Testing - Chi Square
Example – Chi Square Output
Expected counts are printed below observed counts
Errors Correct Total
1 33 60 93
40.46 52.54
2 27 67 94
40.90 53.10
3 132 114 246
107.03 138.97
4 32 132 164
71.35 92.65
5 168 136 304
132.26 171.74
Total 392 509 901
Chi-Sq = 1.376 + 1.060 +
4.722 + 3.637 +
5.827 + 4.487 +
21.703 + 16.714 +
9.657 + 7.437 = 76.620
DF = 4, P-Value = 0.000
State your Null Hypothesis (H0): <There is no difference between “y with x” and “y without x”>
State your Alternate Hypothesis (HA): <There is a difference between “y with x” and “y without x”>
What is the Output Measure (y)? <Describe your output measure; should it be treated as discrete or continuous?>
What is/are the Factor(s) (x)? <Describe your output measure; should it be treated as discrete or continuous?>
What is the Risk ? Alpha = 0.05
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Chi Square is used for discrete data.
Actions Taken
New SEVNew PROBNew DETNew RPN
Process Step
that could fail
Reasons that
the failure
could occur
Effects of the
failure
What would
cause the
step to fail?
What are we
currently
doing to
prevent
failure?0
What should
we do so that
the step does
not fail as often,
is not as
severe, or is
easier to
detect?
Who will
implement the
fixes and
what is the
target date?
What actions
have been
taken?1212
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Design
Controls
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TRPN
Recommended
Actions
Target Date
and
Responsibility
Action Results
Item/Function
Potential
Failure
Modes
Potential
Effects of
Failure
S
E
V
Potential
Causes of
Failure
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Sheet1
| Item/Function | Potential Failure Modes | Potential Effects of Failure | SEV | Potential Causes of Failure | PROB | Current Design Controls | DET | RPN | Recommended Actions | Target Date and Responsibility | Action Results | ||||
| Actions Taken | New SEV | New PROB | New DET | New RPN | |||||||||||
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Sort High to Low
(Descending)
Defect Category# of Defects
Cumulative
Percentage
Category 14531%
Category 23454%
Category 32269%
Category 41177%
Category 5882%
Category 6787%
Category 7691%
Category 8595%
Category 9598%
All Others3100%
0
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Category 1Category 2Category 3Category 4Category 5Category 6Category 7Category 8Category 9
All Others
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Cumulative
Percentage
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A-Pareto Totals Only
| 0 | Analyze - Pareto (Totals Only) | |||||||||||||
| Continuous Data | ||||||||||||||
| Insert Defect Category Names & Numbers (Sort Decending) | ||||||||||||||
| Excel Menu Selections: Chart Wizard, Custom Types Tab, Line - Column on 2 Axes | ||||||||||||||
| Sort High to Low (Descending) | ||||||||||||||
| Defect Category | # of Defects | Cumulative Percentage | ||||||||||||
| Category 1 | 45 | 31% | ||||||||||||
| Category 2 | 34 | 54% | ||||||||||||
| Category 3 | 22 | 69% | ||||||||||||
| Category 4 | 11 | 77% | ||||||||||||
| Category 5 | 8 | 82% | ||||||||||||
| Category 6 | 7 | 87% | ||||||||||||
| Category 7 | 6 | 91% | ||||||||||||
| Category 8 | 5 | 95% | ||||||||||||
| Category 9 | 5 | 98% | ||||||||||||
| All Others | 3 | 100% |
A-Pareto Totals Only
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