Day4 Analyse
Day4 Analyse
2. Payment Verification
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5. You will receive regular job alerts related to six sigma in the group
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About US
Our Vision : To become an Improvement Catalyst for our client in building a
strong & lucrative business using Technology
Our Mission : To continuously Improve the people & processes and add value
to their skill & knowledge.
About US
LSS Corporate
Training
Leadership LSS
Training Implementation
IQ
MSA PMP Training
5S Implementation
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Client list
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Institutional Clients
Online Reputation
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LinkedIn Profile
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Corporate Training
Training Experiential
Need training Mentoring
Analysis delivery
1 2 3 4 5
Customize Measuring
the content Training
as per effectiveness
requirement
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3 • Transformation event
WELCOME BACK
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A TRUE
B FALSE
A) Y only
B) f(X) only
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A.Cp = Cpk
B. Cp ≠ Cpk ≠ 1
C.Cp = -1
D.Cpk = -1
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Pareto Diagram
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Stratification
1. Subdivisions
2. Multi-perspective analysis
3. Repeat analysis
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Subdivisions
Multi-perspective analysis
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Repeat analysis
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Obesity
Transportation Local Location
New Food
technology New Food
Cooking
Reduced Centre/Stor
Outdoor Skill Time Unhygienic es
Games Price
Cooking
TECHNOLO Variety
MACHINE METHOD
GY
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• Dirty Road
Why
• Oil Leak
Why
• Poor Maintenance
Why
FMEA
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KEY
INGREDIENTS
OF AN
FMEA
WHAT IS FMEA?
OPERATION
FUNCTION
CURRENT
CAUSE
CONTROL
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Severity
A numerical measure of how serious is the effect of the failure.
Effect Design or Process: Customer Effect Process: Manufacturing/Assembly Effect
10 Hazardous Very high severity ranking when a potential failure mode Or may endanger operator (machine or assembly) without warning
without affects safe vehicle operation and/or involves noncompliance
warning with government regulation without warning.
9 Hazardous Very high severity ranking when a potential failure mode Or may endanger operator (machine or assembly) without warning.
with affects safe vehicle operation and/or involves noncompliance
warning with government regulation with warning.
8 Very High: Vehicle/item inoperable (loss of primary function). Or 100% of product may have to be scrapped, or vehicle/item
repaired in repair department with a repair time greater than one
hour.
7 High Vehicle/item operable, but at a reduced level of performance. Or product may have to be sorted and a portion (less than 100%)
Customer very dissatisfied. scrapped, or vehicle/item repaired in repair department with a
repair time between a half-hour and an hour.
6 Moderate Vehicle/item operable, but Comfort/Convenience item(s) Or a portion (less than 100%) of the product may have to be
inoperable. Customer dissatisfied. scrapped with no sorting, or vehicle/item repaired in repair
department with a repair time less than a half-hour.
5 Low Vehicle/item operable, but Comfort/Convenience item(s) Or 100% of product may have to be reworked, or vehicle/item
operable at a reduced level of performance. repaired off-line but does not go to repair department.
4 Very Low Fit & Finish/Squeak & Rattle item does not conform. Defect Or product may have to be sorted, with no scrap, and a portion
noticed by most customers (greater than 75%). (less than 100%) reworked.
3 Minor Fit & Finish/Squeak & Rattle item does not conform. Defect Or a portion (less than100%) of the product may have to be
noticed by 50% of customers. reworked, with no scrap, on-line but out-of-station.
2 Very minor Fit & Finish/Squeak & Rattle item does not conform. Defect Or a portion (less than100%) of the product may have to be
noticed by discriminating customers (less than 25%). reworked, with no scrap, on-line and in-station.
Occurrence
Occurrence: A measure of probability that a particular failure will
actually happen.
The degree of occurrence is measured on a scale of 1 to 10,where
10 signifies the highest probability of occurrence.
Likelihood Either … Or … Cpk
10 Very High: More than 100 per thousand machines/items/ 1 in 10 or less <0.55
pieces
1 Remote: Failure is unlikely Less than 0.010 per thousand machines/item/ 1 in 100,000 or more >=1.67
pieces
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Detection
A measure of probability that a particular failure or cause in our operation shall be
detected in current operation and shall not pass on to the next operation. (would
not affect the internal/ external customer)
Detection Criteria: Likelihood of Detection by PROCESS control A B C Suggested Range of Detection Methods
10 Absolute certainty of Design Control will not and/or cannot detect a potential X Cannot detect or is not checked.
non-detection cause/mechanism and subsequent failure mode; or there is
no Design Control.
9 Controls will Very remote chance the Design Control will detect a potential X Control is achieved with indirect or random checks only.
probably not detect cause/mechanism and subsequent failure mode.
8 Controls have poor Remote chance the Design Control will detect a potential X Control is achieved with visual inspection only.
chance of detection cause/mechanism and subsequent failure mode.
7 Controls have poor Very low chance the Design Control will detect a potential X Control is achieved with double visual inspection only.
chance of detection cause/mechanism and subsequent failure mode.
6 Controls may detect Low chance the Design Control will detect a potential X X Control is achieved with charting methods, such as SPC
cause/mechanism and subsequent failure mode. (Statistical Process Control)
5 Controls may detect Moderate chance the Design Control will detect a potential X Control is based on variable gauging after parts have left
cause/mechanism and subsequent failure mode. the station, or Go/No Go gauging performed on 100% of
the parts after parts have left the station.
4 Controls have a Moderately high chance the Design Control will detect a X X Error detection in subsequent operations OR gauging
good chance to potential cause/mechanism and subsequent failure mode. performed on setup and first-piece check (for set-up
detect causes only).
3 Controls have a High chance the Design Control will detect a potential X X Error detection in-station, or error detection in subsequent
good chance to cause/mechanism and subsequent failure mode. operations by multiple layers of acceptance: supply,
detect select, install, verify. Can’t accept discrepant part.
2 Controls almost Very high chance the Design Control will detect a potential X X Error detection in-station (automatic gauging with
certain to detect cause/mechanism and subsequent failure mode. automatic stop feature.) Cannot accept discrepant part.
1 Controls certain to Design Control will certainly detect a potential X Discrepant parts cannot be made because item has been
detect cause/mechanism and subsequent failure mode. error-proof by process/product design.
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RPN = S * O * D
FMEA Concept
Effect
Severity
Risk Action
Failure Mode Cause Priority Plan
Occurrence Number
Control
Detection
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Severity
Occurrence
Detection
RPN Reduction
Assume that the Severity number cannot be reduced. Indicate the
order of importance that you would assign as far as addressing
these processes so as to reduce overall risk.
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Case 1
S=5 O=5 D=2 RPN = 50
Case 2
S=3 O=3 D=6 RPN = 54
WHICH ONE
Case 3 IS WORSE?
S=2 O=10, D=10 = 200
Case 4
S=9 O=2 D=3 = 54
EXAMPLES
Failure Mode :Very high RPN/ One RPN
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Regulatory reasons
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55 Analyze Basics
Sampling
When to Sample
1. Budget Small
Population
2. Time available Short
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Hypothesis
For example:
It can really be anything at all as long as you can put it to the test.
If you are going to propose a hypothesis, it’s customary to write a statement. Your
statement will look like this:
“If I…(do this to an independent variable)….then (this will happen to the dependent
variable).”
For example:
• If I (decrease the amount of water given to herbs) then (the herbs will increase in size).
• If I (give patients counseling in addition to medication) then (their overall depression
scale will decrease).
• If I (give exams at noon instead of 7) then (student test scores will improve).
• If I (look in this certain location) then (I am more likely to find new species).
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A researcher thinks that if knee surgery patients go to physical therapy twice a week (instead
of 3 times), their recovery period will be longer. Average recovery times for knee surgery
patients is 8.2 weeks.
Next, you’ll need to state the null hypothesis (See: How to state the null hypothesis). That’s
what will happen if the researcher is wrong. In the above example, if the researcher is wrong
then the recovery time is less than or equal to 8.2 weeks. In math, that’s:
H0 μ ≤ 8.2
The hypothesis statement in this question is that the researcher believes the average recovery
time is more than 8.2 weeks. It can be written in mathematical terms as:
H1: μ > 8.2
Hypothesis Testing
Develop the hypothesis for population and make statistical decision by
determining the acceptance of hypothesis using sample data.
➢ Null Hypothesis (H0) : Argument made so far, or hypothesis saying that
there is no change or difference
➢ Alternative Hypothesis (H1) : New argument, that is a hypothesis that
you want to prove with solid ground obtained from sample
Example) Medicine B for headache that is newly developed by a pharmaceutical company has 30
minutes longer effect than existing Medicine A.
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Analyze Basics
Null Hypothesis (Ho)
▪ It is a statement of Innocence.
▪ It is a statement of No Change or No
Difference.
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Analyze Basics
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Analyze Basics
Type of errors
Null Hypothesis
Good Bad
Alternate Hypothesis
Accept
ERROR
Correct Decision
TYPE II
Reject
ERROR
Correct Decision
TYPE I
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Analyze Basics
Understanding Risk
What Actually Is
Good Bad
What was Your Decision
Accept
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P-Value
The probability of significance
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Descriptive Statistics
Variable Process N Mean Std. Dev.
Yield A 10 84.24 2.90
B 10 85.54 3.65
➢Statistical Question :
Is there a statistically significant difference between mean of
Process B (85.54) and mean of Process A (84.24)? Or, is this
difference in mean just due to chance?
Hypothesis Testing
➢ Test Statistic
Statistic that is used as criteria for selecting null or alternative hypothesis
Need to set appropriate test statistic such as Z, t , F distribution if necessary.
❖ TypeⅠError : Error that you reject null hypothesis although null hypothesis is true
❖ TypeⅡ Error : Error that you accept null hypothesis although null hypothesis is false
❖ p value : Calculated probability of type I error.
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Question
There are two agents Rohit & Mohit, working with problem
resolution process. The data shows the times they take to
resolve problems. Their performance is to be judged and
one of them is to be promoted. Data given 12 transactions.
Give your judgement.
2 6 .4 8 24.69 2 1 .2 5
Test: 2 sample t test
2 6 .2 5 25.95 2 1 .2 1 ❑ H0: There is no difference in team 1 and
2 6 .3 6 24.6 2 2 .3 9 team 2
2 6 .6 2 24.51 2 1 .2 5 or
2 6 .2 4 26.6 2 1 .4 8 ❑ H0: Population Mean for A= Population
2 5 .5 5 25.71 2 0 .9 9 Mean for B.
2 5 .4 2 25.35 2 1 .9 9
2 6 .6 9 25.74 2 1 .4 1
➢ Comparing all three teams
Test: ANOVA
❑ H0: All population means are equal
Teams.mtw
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Normality Test
2 Variances Test
• Stat>Basic Statistics>2-Variances
• Check F- test p-value
H0 • s2A = s2B
• s2A ≠ s2B
Ha
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2 – Sample t test
H0 • mA = mB
• mA ≠ mB
Ha
• 2- independent sample t-test assumes that the data follows normal distribution and
therefore we carry out normality test. We may carry out Anderson-Darling normality test
and if p-value is more than alpha, we consider that data follows normal distribution
• F-test is used compare variances of two groups. It tests the hypothesis whether there is
any difference between two population variances
• F-test results help us determine whether we should assume equal variances or not
while carrying out 2-independent sample t test
• 2- independent sample t-test compares and tests the difference between the means of
two independent populations
• 2 –independent sample t- test are of two types and we choose one of them depending
on F-test results
• 2-independent sample t-test assuming equal variances
• 2-independent sample t-test assuming unequal variances
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Stacking Data
➢ For ‘Test for Equal Variances’, data
cannot be entered in columns, it
has to be stacked.
➢ Data > Stack > Columns
Transaction Time.mtw
Normality Test
Transaction Time.mtw
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• Stat>ANOVA>One-Way(Unstacked)
• Check p-value
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y-effect y-effect
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Mileage (km/Lit)
30
25
20
15
25 30 35 40 45 50 55 60 65 70
Speed (km/h)
93
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Scatter Plot
➢ Graph>Scatterplot
CaloriesConsumed.mtw
Correlation Analysis
➢ Scatter diagrams or plots provides a graphical representation of the
relationship of two continuous variables
➢ Correlation Analysis measures the degree of linear relationship
between two variables
o Range of correlation coefficient : -1 to +1
• Perfect positive relationship +1
• No relationship 0
• Perfect negative relationship -1
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Correlation Analysis
Coefficient of determination :
Is there any relation between your weight and the amount of water
you consume.?
Is there any relation between your weight and your sleeping time
(mins).?
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Regression Analysis
Regression Analysis
Delivery Time Sorting time
16.68 7
11.5 3
To arrive at an equation (best fit) to 12.03 3
predict correlation. 14.88 4
13.75 6
18.11 7
Delivery time (y) versus sorting time (x).
8 2
Are they perfectly correlated? 17.83 7
21.5 5
Value of R squared greater than 0.8 21 10
13.5 4
shows good fit. 19.75 6
24 9
29 10
15.35 6
19 7
DeliveryTime.mtw 9.5 3
17.9 10
18.75 9
19.83 8
10.75 4
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CaloriesConsumed.mtw
Correlation
➢ Stat>Basic Statistics>Correlation
CaloriesConsumed.mtw
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Regression
➢ Stat>Regression>Regression
CaloriesConsumed.mtw
Is there any relation between the sales of liquor and the atmospheric
temperature..?
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Output
Continuous Discrete
Graphical : Pareto
Statistical : Logistic
Regression Statistical : 1 Proportion, 2
Discrete
Proportion, Chisquare
❖ Transport
❖ Inventory
❖ Motion
❖ Waiting time
❖ Overproduction
❖ Over processing
❖ Defective goods
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Transportation
Definition: Irrational movement of material and
information.
Effects:
Poor Ergonomics
Safety Hazards
Increased Lead time
Inventory
Definition:
A company's merchandise, raw materials, and
finished and unfinished products which have not
yet been sold but stored in different stages.
Effects:
Huge Investments Lock
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Inventory
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Motion
Definition:
Any unnecessary motion of people.
Effects:
Poor Ergonomics
Very Low productivity(silent killer)
Waiting Time
Definition:
Man, Material and Machine waiting for information
and inputs.
Types:
Process Delays
Lot Delays
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Over Processing
Definition:
Providing or creating MORE than the customer
specification requirement.
Effects:
Erosion in Profitability
Over Production
Definition:
Producing more, sooner or faster than is required
by the next process
Effects:
Erosion in Profitability
Increase in Inventory
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Defects
Definition:
Producing bad quality parts, services or
information
Effects:
Increase in production cost
Results in rework
Results in shortage
❖ Transport
❖ Inventory
❖ Motion
❖ Waiting time
❖ Overproduction
❖ Over processing
❖ Defective goods
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Let’s do it!
Click once
when
Now ready.
wait for
45 1. - 6. -
seconds
30
15 Take 45
.
45
20
35
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44
2
1
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seconds
left
2. - 7. - seconds to
memorize
these new
3. - That was 8. -
easy! symbols for
the
4. - 9. - numbers
1 – 10.
5. -
10. - X
Write down as
many of the new
symbols as you
can remember?
Click when read
To check answers
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1. - 6. -
2. - 7. -
3. - 8. -
4. - 9. -
5. - 10. - X
1 2 3 4 5 6 7 8 9 10
X
Does this help?
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KAIZEN
1 2 3
4 5 6
8 9
7
X
10
VA and NVA
Value-Added Step:
o Customers are willing to pay for it.
o It transforms the product/ service.
o It’s done right the first time.
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House Sky
Window Chimney
Door Man Dog Mountain
Boy
Tree Cloud
Sun
Dress Dec Road Suit
Path
k
Woman Bird Fire
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Time available
Takt Time =
Demand
Value stream C
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ORDER CASH
$
ORDER CASH
$
ORDER CASH
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➢ Gap Analysis
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www.iq6sigma.com
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