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Stratification
Divide and Conquer
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Stratification
A technique used to divide data into
subcategories or classification to
provide useful insight into the
problem.
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Meaning of Stratification
Root Word is Strata which means
Group
Division
Subclass
Levels Layers
Stratification is an act of dividing databased on group, division, sub class,
causes etc.
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Rationale & Benefits
Data comes from difference sources.
E.g. : Different Machines, Instruments,Cities, Operators etc.
Data sometimes masks real
information.
Stratification helps in gettingmeaningful information from data.
Divide the data and Conquer theInformation.
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Reached late to office on following dates
(unstratified data) 2/7, 6/7, 9/7, 16/7, 23/7, 30/7
Stratified data by day of the week. Mon 5 Tue 0 Wed 0 Thu 0 Fri 1 Sat 0
Example : Late to Work
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Example : PCB Rejection
323033Rejection
5/64/63/6Date
Unstratified Data
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Example : PCB Rejection
1
0
3
10
Lunch1
2
1
153/6
0
2
1
11
0
0
2
144/6
14:30 5:30
13:30 4:30
02:30 3:30
121:30 2:30
1:00 1:30112:00 1:00
111:00 12:00
010:00 11:00
169:00 10:00 5/6Time
Stratified Data
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E.g. Accidents in Machine Shop
12
10
13
9
1112
0
2
4
6
8
10
12
14
Jan Feb Mar Apr May Jun
Month
No.ofA
ccidents
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After Stratification
98
12
8
1110
32
1 1 0
2
0
2
4
6
8
10
12
14
Jan Feb Mar Apr May Jun
Month
No.ofA
ccidents
Press Shop
Welding
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Steps in Stratification
1. List all conditions
2. Collect and Stratify Data
3. Interpret the Data
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Step 1 : List all Conditions
List all conditions that may seem to be
the cause of the problem.
Shift
Location
Raw Material Source
Operator
Product
Machine Inspection Equipment
Day of Week
Time of Day
Material Batch
Inspector
Production Batch
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Step 2 : Collect and Stratify Data
Collect additional data based on
classification, if necessary.
Stratify data based on the
classification
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Step 3 : Interpret the Data
Calculate average of each classification
or plot appropriate graph.
Look for significant differences OR
abnormalities in data.
Generate a list of possible causes.
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Pareto ChartVital Few and Trivial Many
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Pareto Chart
Pareto Chart is a diagram that shows the
order of the largest number of occurrences
by item or by classes, and the cumulative
sum total.
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Genesis of Pareto Chart
Vilfredo Pareto (1848
1923), an Italian economistdiscovered in 1897 that80% of a nations wealthwas owned by 20% of thepopulation.
Dr. Joseph M. Juranapplied this principle to
Quality Management andcalled it the ParetoPrinciple.
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Pareto Principle
20%
80%
Inputs
CausesEffort
Outputs
EffectsResults
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Rationale and Benefits
Pareto Principle : 80 % of the problems
comes from 20% of the causes.
Distinguishes between vital few and
trivial many.
Displays relative importance of causesof a problem.
Helps the team to focus on those causes
that will have the greatest impact whensolved.
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Causes for Starting Late to Office
0
20
40
60
80
100
120
140
Newspaper Bathroom
Delay
Overslept Garage
Door
Iron Clothes Others
Causes
Freq
uency
0%
20%
40%
60%
80%
100%
CumulativePercentage78%
C f S f D f t
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Causes for Surface Defects
0
20
40
60
80
100
120
140
160
Stain Scratch Peeling Crack Pinhole Gap OthersCauses
Frequ
ency
0%
20%
40%
60%
80%
100%
Cumulative
Percentage
84%
P t C t R
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Pareto on Customer ResponseWhat did you like least after the surgery ?
0
10
20
30
40
50
60
Waiting Nursing No Privacy No
Empathy
Pain No Info. Others
Causes
Frequency
0%
20%
40%
60%
80%
100%
CumulativePercentage
76%
St i ki P t Ch t
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Steps in making a Pareto Chart
1. Select the problem.
2. Collect data.3. Sort data & calculate cumulative
percentage.
4. Draw the axes.5. Construct the bars.
6. Draw the cumulative percentage line.
7. Title and label the chart.8. Identify Vital Few from the Trivial
Many and plan further action.
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Step 1 : Select the Problem
Select the problem for investigation.
Decide what data will be necessary and
how to classify them.
Determine the method of collecting data
and period of data collection.
Design a separate Check Sheet if
necessary.
Eg : Causes for Service Complaints ofComputer System.
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Step 2 : Collect Data
52Virus Attack
3Rodent Problem
12Others
5Loose Connection4Email not functioning
9Operating System Corrupted
3System Re-configuration
6Bad Configuration
8Boot Problems
23Server Crash
11Print Problems
FrequencyCauses
St 3 S t D t & C l l t
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Step 3 : Sort Data & CalculateCumulative Percentage
136Total
K
J
I
H
G
FE
D
C
B
A
Code
89%1213System Re-configuration
87%1184Email not functioning
84%1145Loose Connection
80%1096Bad Configuration76%1038Boot Problems
70%86+9=959Operating System Corrupted
75/136 = 55%52+23=7523Server Crash
52/136 = 42%5252Virus Attack
12
3
11
Freq-
uency
136
124
75+11=86
Cumulative
Freq.
91%Rodent Problem
100%Others
63%Print Problems
Cumulative
% age
Causes
St 4 C t t th A
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Step 4 : Construct the Axes
0
20
40
60
80
100
120
A B C D E F G H I J KCauses
Frequency
0%
20%
40%
60%
80%
100%
Cumulative
Percentage
136
136 = 100%
St 5 D th B
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Step 5 : Draw the Bars
0
20
40
60
80
100
120
A B C D E F G H I J KCauses
Frequency
0%
20%
40%
60%
80%
100%
Cumulative
Percentage
136
Step 6 : Draw the Cumulative
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Step 6 : Draw the CumulativePercentage Line
0
20
40
60
80
100
120
A B C D E F G H I J KCauses
Frequency
0%
20%
40%
60%
80%
100%
Cumulative
Percentage
136
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Step 7 : Label & Title the Chart
0
20
40
60
80
100
120
A B C D E F G H I J KCauses
Frequency
0%
20%
40%
60%
80%
100%
CumulativeP
ercentage
136 Pareto of Service Complaints
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Step 8 : Interpret the Chart
0
20
40
60
80
100
120
A B C D E F G H I J KCauses
Frequency
0%
20%
40%
60%
80%
100%
CumulativeP
ercentage
136 Pareto of Service Complaints
70%
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Flat Pareto ??
0
20
40
60
80
100
120
A B C D E F G H I J KCauses
Frequency
0%
20%
40%
60%
80%
100%
CumulativeP
ercentage
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Tips for Making a Good Pareto
Chart It is undesirable that others represent
a high percentage (should be < 10%).
If the cause of a problem can be solved
easily, implement it even if it belongs to
the trivial many.
Wherever possible, compare monetary
data with frequency data.
Draw the Pareto chart before and afterimprovement.
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Which problem to solve ?
0
200
400
600
800
1000
1200
A B C D E F G H I J K
PP
M
0%
20%
40%
60%
80%
100%
0
20
40
60
80
100
120
140
D B C E A G F J I H K
Rs.in'000
0%
20%
40%
60%
80%
100%Rejections by PPM Rejections by Rs.
B f d Aft I t
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Before and After Improvement
0
10
20
30
40
50
60
Waitin
g
Nursin
g
NoPrivacy
NoEmpath
y
Pain
NoInfo.
Others
Causes
F
requency
0%
50%
100%
0
10
20
30
40
50
60
Nursing
NoPriva
cy
NoEmpathy
Waiting
Pa
in
NoInfo.
Othe
rs
Causes
F
requency
0%
100%
Improvement
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Brainstorming
Creativity at Work
B i t i
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Brainstorming
Creativity and Collective Wisdom at
Work Place.
Diagnose, Solve and Prevent
Problems and Effect Improvements
B i t i C td
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Brainstorming Contd..
Technique for a team to creatively
and efficiently generate the greatest
possible number of ideas on any
topic.
F th f B i t i
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Brainstorming was first
effectively used andintroduced by Alex F.
Osborn of U.S.A. in
1941.
An Advertisement Exe-
cutive.
Author of Book Applied
Imagination.
Father of Brainstorming
B i t i
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Brainstorming
Brainstorming is a conference technique
of solving specific problems, amassing
information, stimulating creative
thinking, developing new ideas by
unrestrained and spontaneous
participation in discussion.
The Random House Dictionary
R ti l d B fit
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Rationale and Benefits
Person close to the job knows more
about the job.
Encourages OPEN thinking.
Enables people to participate in acreative way.
Minimizes domination by a few people.
Self Fulfilling.
T f B i t i
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Types of Brainstorming
A process in which
each team member
give ideas in turn.
A process in which
each team member
give ideas as theycome to mind.
Brainstorming
Structured UnStructured
St f B i t i
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Stages of Brainstorming
1. Stating the Problem.
2. Re stating the problem.
3. Brainstorming.
4. Evaluating the ideas produced.
P R i it
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PreRequisites
Relaxed and cordial atmosphere.
Information to all members about the
theme of the session.
All ideas should be recorded and
recalled, if necessary.
All should participate.
Fo r R les of Brainstorming
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Four Rules of Brainstorming
Encourage Wild
IdeasQuantity rather
than Quality Ideas
Four Rules of Brainstorming
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Four Rules of Brainstorming Contd.
Ride on Anothers
Idea PiggybackSuspend Judgement
Guidelines and Ground Rules
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Guidelines and Ground Rules
Freewheeling is encouraged.
Wilder, Offbeat, Erratic, Stupid, Trailblazing, Impractical ideas are welcomed
Be open minded
Spontaneity required
Evoke fun atmosphere
Heart rules over Head
Guidelines and Ground Rules
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Judgement Suspended.
Criticism Ruled out. Participation by All.
Quantity is encouraged. Structured or Unstructured.
Combination and Improvement ofIdeas. Cross Fertilisation.
Piggyback.
Six Persons - Six Minutes Formula.
Guidelines and Ground Rules Contd..
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Cause and Effect
DiagramIdentify and Cure Causes
Cause and Effect Diagram
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Cause and Effect Diagram
A diagram which representsmeaningful relationship between an
effect and its causes.
A diagram which shows the relation
between a Quality Characteristic
and the Cause Factors.
JIS Definition
Rationale and Benefits
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Rationale and Benefits
Enables a team to identify, explore and
graphically display all the possiblecauses related to a problem.
A cause and effect diagram is good forseeing the whole causal relationship.
Enables identification of root causesand not symptoms.
Father of Cause & Effect Diagram
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Father of Cause & Effect Diagram
Dr. Kaoru Ishikawa developed
the first cause and effect
diagram in 1943 while
consulting for Kawasaki Steel
Works.
Dr. Juran named it as
Ishikawa diagram.
Structure of C & E Diagram
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Structure of C & E Diagram
Effect
(Characteristic)
Big Bone
Back Bone
SmallBone
Medium SizedBone
Causes (Factors)
C & E Diagram is also known as
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C & E Diagram is also known asFishbone Diagram
Three Types of Cause and Effect
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Three Types of Cause and EffectDiagram
1. Dispersion Analysis type.
2. Process Flow Classification type.
3. Cause Enumeration type.
Note : Dispersion Analysis type andCause Enumeration type differ onlyin the method of construction.
Dispersion Analysis type Cause and
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p y ypEffect Diagram
workersMaterials
Wobble
ToolsInspection
Over
experienced
Experienced
Under-experienced
Personality
Content
Training
Knowledge
6.4
Small Large
Centralaxle
Material Quality 11.6
Uneven
F Cover
Axle holeInterval Loose Tight
Nuts
Threads
Material quality
G axle bearing
Large
6
2.6Size
9
MeasurementMeasuringtool
Errors
Judgement
Judgement
method
Training
Inspector
Experience
Off-centre
Adjustment Off-centre
Cover hole
G axle bearing cover
PlatingUneven
F cover
Punch width
F axle cover
Axle stopMetal drill
G axle cover
Process Flow Classification type
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ypCause & Effect Diagram
MaterialPipe
making CorrectingPlanning
WaterPressure
test
Bed
removingInspection
SteelPipe
scarsBench rolling
Movement
Polishing
Weight
Wire
Bunching
Arrange bench drop
Polish
Value
Movement
Difference
Weight
Carriage
Surface paint
Bench rolling
Position placement
Position placement
Group movement
Bench movement
Common aberration
Bunching
Loosening
Dropping
Bench movement
Conveyor
Roll
Flare
Impurity
Steps in Constructing Dispersion
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p g ptype C & E Diagram
1. State the undesirable effect.
2. Identify the main cause groups.
3. Identify causes and subcauses.
4. Identify potential root cause(s).
Step 1
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Step 1
State the undesirable effect and draw
the back bone and draw a line.
High Process
Rejection
EffectCauses
Step 2
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Step 2
High Process
Rejection
Machine Man
Material Method
Identify the main cause groups such as
man, machine, method, material,
measurement, tool.EffectCauses
Step 3
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Step 3
High Process
Rejection
Machine Man
Material Method
Identify the causes and sub causes.
Ask WHY several times.
High
Hardness
Not Specified
to VendorRod
Bent
Poor
Handling
No Inspection
EffectCauses
Step 4
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Step 4
High Process
Rejection
Machine Man
Material Method
Identify potential root cause(s).
High
Hardness
Not Specified
to VendorRod
Bent
Poor
Handling
No Inspection
EffectCauses
Identify Significance of Each Cause
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Identify Significance of Each Cause
High Significance
Moderate Significance
Weak Significance
Steps in Constructing Process Flow
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p gType C & E Diagram
1. State the undesirable effect.
2. Draw the main process flow diagram.
3. Identify the cause and subcauses at
each stage of the process.
4. Identify potential root cause(s).
Step 1
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Step 1
State the undesirable effect and draw a
verticle line.
Delay inDelivery
EffectCauses
Step 2
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Step 2
Draw the main process flow.
Delay inDeliveryMaterialReceipt Machining Assembly Inspection
EffectCauses
Step 3
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Step 3
Identify the cause and subcauses at each
stage of the process.
Delay in
Delivery
Material
ReceiptMachining Assembly Inspection
MaterialShortage
Material
Rejected
Vendor Tool
Damaged
MachineBreakdown
Capacity
Constraint AbsenteeismIncomplete
Assembly
High Cycle
TimeRectification
EffectCauses
Step 4
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Step 4
Identify potential root cause(s).
Delay inDelivery
MaterialReceipt
Machining Assembly Inspection
Material
Shortage
Material
Rejected
Vendor Tool
Damaged
MachineBreakdown
Capacity
Constraint AbsenteeismIncomplete
Assembly
High CycleTime
Rectification
EffectCauses
Steps in Constructing CauseC &
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gEnumeration Type C & E Diagram
1. State the undesirable effect.
2. List all possible causes using
brainstorming.
3. Arrange causes and subcauses showing
the relationship between cause and effect.
4. Identify potential root cause(s).
Step 1
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Step 1
State the undesirable effect.
Time for
Installation
of Machine
is High
Step 2
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Step 2
List all possible causes using brainstorming.
Parts notavailable on
timeDo not have
license
for stamping
Relevant Forms
not received
Performance
problems
during installation
Payment not
collected as per terms
Poor follow-up
by branch
Lack of
Funds
Civil work
notcommenced
No communication
to branch on civil
work
Customers
ProjectPostponed
Lorry not
available
Customer wants
see our installation
Time for
Installation
of Machine
is High
Step 3
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HO DelayBranch
Delay
Customer
DelayOthers
Parts not avai-
lable on timeDo not have license
for stampingPerformance problems
during installationPayment not
collected as per terms
Poor follow-up
by branch
Poor information
on site readiness
Lack of Funds
Civil work notcommenced
No communication
to branch on civil
work
ProjectPostponed
Lorry not
availableCustomer wants
see our installation
Time for
Installationof Machine
is High
Relevant Forms
not received
pArrange causes and subcauses suitably.
EffectCauses
Step 4
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pIdentify potential root cause(s).
HO
Delay
Branch
Delay
Customer
DelayOthers
Parts not avai-
lable on timeDonot have license
for stampingPerformance problems
during installationPayment not
collected as per terms
Poor follow-up
by branch
Poor information
on site readiness
Lack of Funds
Civil work notcommenced
No communication
to branch on civil work
ProjectPostponed
Lorry not
availableCustomer wants
see our installation
Time for
Installationof Machine
is High
Relevant Forms
not received
EffectCauses
Hints for Constructing a C & E
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gDiagram
Identify all the relevant causes
(factors) & the causes most strongly
influencing the effect (characteristic).
Express the effect (characteristic)
negatively.
The linking question between effect
and its cause is WHY ?.
Make the same number of cause andeffect diagrams as that of effects.
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Identifying Correlation
Scatter Diagram
Scatter Diagram
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A chart used to study and identify the
possible relationship between two
variables.
Scatter Diagram Contd..
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g
To identify the possible relationship
between the changes observed in twovariables.
To establish the Existence of correlation
Type of correlation
Strength of the relation
Rationale and Benefits
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To confirm a hypothesis (assumption) that
two variables are related.
Provide both visual and statistical means to
test the strength of a potential relationship.
Provide a good follow up to a cause and effect
diagram to find out if there is more than just
a consensus connection between causes andeffects.
Examples of Two Variables
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Cake height and Oven temperature.
Weight and Height of a person.
Population & Literacy levels in a state.
Weight error and Earthing voltage.
Nonconformance & Operator experience
Examples of Two Variables Contd
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Contd..
Hardness & Carbon content
Inspection Mistakes & Illumination levels
Elongation of threads & Moisture content
Childs height & Fathers height
Quality characteristic and the Factor
affecting it.
Weight & Height of a Person
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40
50
60
70
80
90
100
110
155 160 165 170 175 180 185 190
Weight(kg)
Height (cm)
Capacitance & Line Width
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0.5
1
1.5
2
2.5
3
3.5
30 40 50 60 70 80
Capacitanc
e(Pictofar
ads)
Line Width / Spacing (in microns)
Steps in making a Scatter Diagram
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p g g
1. Collect paired data.
2. Choose independent and dependent variable.
3. Draw the axes.
4. Plot the points
5. Label and title the chart
6. Interpret the chart.
Step 1: Collect Data
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Collect 50 100 paired data (X,Y) betweenwhich you want to study the relation, and
construct a data sheet
3.3 cm68o60...
...
3.0 cm57o32.8 cm49
o
2
3.2 cm60o1
Cake HeightOven TemperatureSample
Step 2 : Choose Independent andDependent Variables
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Dependent Variables.
Always choose X axis for the cause
and Y axis for the effect, when the two
variables consist of a factor and
quality characteristics.
Oven Temperature = Independent Cake Height = Dependent
Find the respective maximum andminimum values of the variable.
Step 3 : Draw the Axes.
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2
2.5
3
3.5
4
4.5
5
3 5 4 0 4 5 5 0 5 5 6 0 6 5 7 0
Independent Variable,Oven Temperature
Dependent Variable,
Cake Height
Step 4 : Plot the data
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2
2.5
3
3.5
4
4.5
5
35 40 45 50 55 60 65 70
Step 5 : Label & Title the chart
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Oven Temperature vs. Cake Height
Oven Temperature (oC)
CakeHeight(cm)
2
2.5
3
3.5
4
4.5
5
35 40 45 50 55 60 65 70
Step 6 : Interpreting the Chart
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Strong Positive Correlation
Increase in x, will increase y
1
1.5
2
2.5
3
3.5
35 40 45 50 55 60 65 70
Variabley,Dependent
Variable x, Independent
Step 6 : Interpreting the Chart Contd
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Contd..Strong Negative Correlation
Increase in x, will decreasey
-3.5
-3
-2.5
-2
-1.5
-1
35 40 45 50 55 60 65 70
Variabley,Dependent
Variable x, Independent
Step 6 : Interpreting the Chart Contd
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Contd..
1
1.5
2
2.5
3
3.5
35 40 45 50 55 60 65 70
Positive Correlation
Increase in x, may increasey
Va
riabley,De
pendent
Variable x, Independent
Step 6 : Interpreting the Chart Contd..
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Contd..
-3.5
-3
-2.5
-2
-1.5
-1
35 40 45 50 55 60 65 70
Negative Correlation
Increase in x, may Decreasey
Variabley,De
pendent
Variable x, Independent
Step 6 : Interpreting the Chart Contd
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Contd..
1
1.5
2
2.5
3
3.5
30 35 40 45 50 55 60 65 70
No Correlation
V
ariabley,D
ependent
Variable x, Independent
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Control Chart
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It is a type of run chart used for
studying process performance over
time in order to understand and
reduce variation.
Father of Control Chart
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Dr. Walter A. Shewhart
invented the control chart.
He was working in BellLabs on a project to make
all telephones alike.
Published the bookEconomic Control of
Quality of ManufacturedProductin 1931.
Principles of Variation
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1. Every process is subject to variation.
2. More the variation in the process, more
the loss to society.
3. Two types of causes affect variation.
a. Common Cause (also known as
Chronic cause, Chance cause)
Principles of Variation Contd..
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b. Special Cause (also known as
Sporadic cause, Assignable cause)
4. Action on variation entirely depends on
type of cause identified.
Common Cause
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The cumulative effect of many small and
individually uncontrollable causes of
variation in a process.
Special Cause
One or a few causes of variation thatresult in a large variation in the process.
Common vs. Special Cause
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Common Cause
Consists of manyindividual causes.
Results in relativelysmaller variation.
Process need not betampered with.
Process is consi-dered stable.
Special Cause
Consists of one or afew causes.
Results in largevariation.
Process needs to beinvestigated andcorrected.
Process is unstable.
Rationale and Benefits
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Control chart is used fordifferentiating between commoncauses and special causes of variation.
Control chart also helps in
determining whether the process is stable.
process is capable.
It helps in predicting processperformance.
Types of Data
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Variable Data
Data that can be measured.E.g.: Weight, Length, Diameter,
Hardness, Angle.
Attribute Data
Data that can be counted.
E.g.: Defects, Scratches, Dent, Spatters,
Blow holes, cracks.
Classification of Control Chart
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Control Chart
Variable Data
X R ChartX mR chart
mX mR Chart
Attribute Data
p chartc chart
np chart
u chart
Example of Control Chart
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24.75
25.00
25.25
25.50
25.75
26.00
26.25
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
Diameter(mm)
0.0
0.5
1.0
1.5
2.0
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
Sub-group
R
ange(mm)
UCLx
LCLx
X
UCLR
LCLR
R
Parts of a Control Chart
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24.75
25.00
25.25
25.50
25.75
26.00
26.25
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
X Axis
Variable Data
UCLx
LCLx
X
Sub-Group Control
Limits
Central
Line
Data Points
Diam
eter(mm)
Definition of Terms
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Sub Group
Smaller groups of sample data collectedover time.
Central Line The average of all the sub group
averages.
Control Limits
The outer limits of Process Variation.
Control Limit vs. Specification Limit
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Control Limit
Variation in the
process.
Noise of theprocess.
Limits change withsetting, correction,process changes etc.
Indicates Capability.
Specification Limit
Requirement of the
customer.
Voice of thecustomer.
Limits change onlywhen customerwishes to change.
IndicatesRequirement.
Steps in Constructing a ControlChart
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Chart
1. Collect the data.
2. Calculate subgroup average.
3. Calculate overall average.
4. Calculate the range.
5. Compute average of range.
6. Calculate control limits for X and R
7. Plot the chart.8. Interpret the chart.
Step 1: Collect Data
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Collect and stratify data into sub-groups.
59
11
25
35
X4
384229284
441611293
343137192
204432471
X5X3X2X1Sub-Group
Step 2: Calculate SubgroupAverage,X
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where n is the size of the subgroup.
nXXXXXX 543211
6.355
20354432471 X
Average, X
Step 3: Calculate the OverallAverage X
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k
XXXXX
4321
4
2.392.222.296.35 X
where k is the number of subgroups.
Average,X
Step 4: Calculate the SubgroupRange, R
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Range, R
R = Maximum Value Minimum Value
R1 = 47 20 = 37
Step 5: Calculate the Average ofRanges,R
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kRRRRR
4321
25.274
31331827
R
where k is the number of subgroups.
Ranges,R
Step 6: Compute Control Limits
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Control Limits for chart
Central Line =
Upper Control Limit :
Lower Control Limit :
A2 is the coefficient whose value depends onthe subgroup size
X
X
RAXUCLX 2
RAXLCLX 2
Step 6 : Control Limits for R Chart
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Central Line :
Upper Control Limit :
Lower Control Limit :
D3
and D4
are coefficients whose value
depend on the subgroup size.
RDUCLR 4
RDLCLR 3
R
Step 6: Coefficients for R chartX
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2.5342.00400.4836
2.3262.11400.5775
2.0592.28200.7294
1.6932.57401.0233
1.1283.26701.8802
d2D4D3A2n
R ChartChartSubgroup
Size
X
Step 7 : Plot the Control Chart
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Vertical Axis: and R values
Horizontal Axis : Subgroup number
Draw the central line : and R.
Draw the control limit lines.
X
X
Step 7 : Plot the Control Chart Contd..
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Plot the and R values and join the
points.
Write necessary items like name of the
process, product, size of the subgroup,work conditions, shift, etc.
X
Step 8 : Interpret the chart
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Process Stability
Look at the patternof variation.
Should be random
and not a systematic
pattern.
Look for presence of
special causes.
5 rules of special
cause identification.
Process Capability
Establish process
variation.
Compare with
customer speci-
fication and
establish process
capability.
Stable Process
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
XbarorR
- Random variation and no systematic pattern- No action required (if Cpk > 1.67)
Rule 1: Points beyond Control Limit
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
XbarorR
- Presence of special cause- Identify root cause and take action.
Rule 2: Run of 7 points on one sideof Central Line
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- Presence of special cause- Process has shifted.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
XbarorR
Rule 3: Six Consecutive PointsIncreasing or Decreasing
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g g
- Presence of special cause- Process is deteriorating.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
XbarorR
Rule 4: Periodicity
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- Presence of special cause- Periodic Interference in the process.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
XbarorR
Rule 5: Fourteen ConsecutivePoints Alternating Up and Down
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- Presence of special cause.- Identify root cause and take action.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
XbarorR
Process Capability
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Process Capability is a measure ofinherent variability of the process
when compared with the customerrequirements.
Rationale and Benefits
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Assess capability of a process to meet
customers requirement.
Assist in selecting or modifying aprocess.
Assist in selection of machine.
To build quality into the product andprocess rather than achieving qualityby inspection.
Process Capability Assessment
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Establish Process Variation
Process Variation = 6
d2 is a constant based on sub groupsize.
Refer slide number 101 / PST&T / O - 22
2d
R
Compare with CustomerSpecification
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LSLUSL
Cp 6
Capability =Customer Requirement
Process Variation
Cp > 1.33; Process is more capable
than customer requirement
Compare with CustomerSpecification Contd..
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Cp = 1.0; Process is just capable of
meeting customers require-ment
Cp< 1.0; Process is not capable of meeting
customers requirement
Compare with CustomerSpecification Contd..
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3)(
;3
)( LSLXXUSL
MinimumCpk
Cpk = Cp; Process is centred with respect
to customers requirement.
Cpk Cp; Process is NOT centred with
respect to customersrequirement.
Accidents in a Factory
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Total Accidents : 94
A - Accidents with respect to Head : 1
B - Accidents with respect to Face : 3
C - Accidents with respect to Body : 7
D - Accidents with respect to Hand : 9
E - Accidents with respect to Fingers : 69
F - Accidents with respect to Leg : 5
94
Cause PercentagePercentage Cummulative
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e ce tage Cu u at ve
Percentage
E 69 / 94 x 100 = 73.40% 73.40 %
D 9 / 94 x 100 = 9.57% 82.97 %
C 7/ 94 x 100 = 7.45% 90.42 %
F 5 / 94 x 100 = 5.32% 95.74%
B 3 / 94 x 100 = 3.19% 98.93%
A 1 / 94 x 100 = 1.07% 100.00%
100.00%
Pareto Chart90
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69
9 7 5 3
10
10
20
30
40
50
60
70
80
E D C F B A Causes
Frequency
73.4%
E : VITAL FEW D, C. F. B, A = TRIVIAL MANY
Pareto Chart
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VITAL FEW FROM TRIVIAL MANY
A PCB Rejected 30% @ Wave Soldering Stage
Causes :
A - Wrong Mounting - 3
B - Compt Missing - 2
C - Dry Solder - 16
D - Compt Jumping - 8
E - Wrong Polarity - 1
30
Pareto Chart
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Rearranging the same
Causes :
C 16 16 / 30 * 100 = 53.33% 53.34%
D 8 8 / 30 * 100 = 26.66% 80.00%
A 3 3 / 30 * 100 = 10.00% 90.00%
B 2 2 / 30 * 100 = 6.66% 96.66%
E 1 1 /30 * 100 = 3.33% 100.00%
Pareto Chart30
100%
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16
8
32
1
0
5
10
15
20
25
C D A B E
Causes
Fr
equency
80
C + D : 80%
A, B, E : 20%
90
96.6 100%
Percentage
Pareto Chart
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Eg : A casting machine had 32% rejection
Causes :
A Due to Workmanship : 3
B Due to Casting Quality : 8
C Due to Cutter Problem : 18
D Due to Machine problem : 2
E Due to Miscellaneous causes : 1
32
81.25%
Pareto Chart
Data Structuring
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Data Structuring
96.876.25312D
100.003.13321E
90.629.37293A
81.2525.00268B
56.2556.251818C
Cummulative
Percentage
PercentageCummulative
Total
NumberItem
Pareto Chart40 100
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12
3
8
18
0
5
10
15
20
25
30
35
C B A D E
0
20
40
60
80
81.25
C + B : 81.25% = Vital few
A, D, E = Trivial many
90.62 96.87
Cummulativ
ePercentage
56.25
25
9.37
6.25 3.13
Perc
entage
Cause & Effect Diagram
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Performance Planning
QualityHigh
Turnover
Monitoring
Identify
Assessment
Monitoring
Resignations
Transport
ExcessiveOvertime
Line Balance
Capacity
Efficiency
Bottle Neck
Scheduling
MRPWork Load
Shortage
RejectionsQC
Training
Rework
QC
Mgmt. Style
Scheduling
Wages
Environment
Cause & Effect Diagram depictingthe causes for Divorces
Family
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Divorce
Staying away
Incompatibility
Family
PressureEgo
Work
Sexual
Thought
Religious
Cultural
Social
Family
Demands(Like Dowry)
Over family
affiliation by
either spouse
Disliking FamilyMembers
Family
Torture
Popularity
Successful
Profession
Superior
Education
Special Talent
Rich Family
Background
Sexual
Monetary
Materialistic
Behavioural
Non
availability
PopularityInsecurity
Inability to
earn
Greed
Miser
Spend
Thrift
Spirituality
Affairs
Workaholic
CharacterIllness
(Like mental, psychological)
Failure in
expectations
Over
Possessiveness
Money
Distractions
Personal
Q.C.C - Case Studies
R d i R j ti
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Reducing Rejections
Reducing Cycle Time
Reducing Consumables Cost
Reducing Energy Cost
Design Change
Improving manufacturing process
Eratic behaviour of machine
Elimination of canteen Coupons
Q.C.C - Case Studies
f A
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Elimination of Leave Application
Elimination of mosquito menace in the colony
Raising blood donations
Reducing accidents
Improving management education
Improving security of goods in an organisation
Improving Environment of Organisation
Improving Safety provisions
Otto Bilz India Pvt. Ltd.World Class Manufacturing Goals &
Targets
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Targets
9.5 in 10
scale
9.0 in 10
scale
8.5 in 10
scale
To be measuredSupplier Satisfaction5.
9.5 in 10
scale
9.0 in 10
scale
8.5 in 10
scale
To be measuredEmployee Satisfaction4.
9.5 in 10
scale
9.0 in 10
scale
8.5 in 10
scale
7.3 in 10 ScaleCustomer Satisfaction3.
100%>98%>95%43.05%On time Delivery2.
100 PPM500 PPM2000 PPM43545 PPMQuality level1.
200520042003Present / 2002Goals
Sl.
No.
Targets
Otto Bilz India Pvt. Ltd.World Class Manufacturing Goals &
Targets
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Targets
40%35%25%16%New customer for
existing productNew product for
existing customer
10.
7 man-days
/ Employee
6 man-days
/Employee
5 man-days
/ Employee
5 man-days @
35%
Training Hrs /
Employee / Year
9.
1000 Nos.600 Nos.300 Nos.0Suggestion /Kaizen
8.
120 Nos.100 Nos.60 Nos.0SGA7.
>85%>75%>65%43%OEE6.
200520042003Present / 2002Goals
Sl.
No.
Targets
Otto Bilz India Pvt. Ltd.World Class Manufacturing Goals &
Targets
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Targets
ISO 14001 /TS 16949
OSHAS
PreparationCertification15.
30 days40 days45 days69 daysDebtors Turnover
Ratio
14.
160 hrs140 hrs125 hrs80 hrsStd hrs cleared /
Employee / month
13.
25 crores15 crores10 crores8 croresSales Turn over12.
251583.95Inventory Turn
over ratio
11.
200520042003Present / 2002Goals
Sl.
No.
Targets
Otto Bilz India Pvt. Ltd.World Class Manufacturing
Goals & Targets
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Goals & Targets
Rs.50000
@ 0.02
Rs.1 lakh
@ 0.07%
Rs.3 lakhs
@ 0.3%
Rs.4300000
@ 5.3%
Quality cost / Sales20.
5 Sigma4 SigmaInitiationThree6 Sigma19.
NilDeming Award18.
Award2006
Preparation
NilCII Excellence
award
17.
Golden
peacock
Implemen-
tation
NilGolden peacock
award
16.
200520042003Present / 2002Goals
Sl.
No.
Targets
Otto Bilz India Pvt. Ltd.World Class Manufacturing
Internal Goals & Targets
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Internal Goals & Targets
30%15%
20%
5%
7.04.53.252.14 lakhsValue added Per Employee5.
3%3.5%4%5%Energy cost to sales4.
-5%EVA % to Expected return3.
25%15%-1.3%Operating profit % to sales2.
02530 nos.Customer complaints1.
200520042003PresentGoals
Sl.
No.
Targets
EVA : Economic Value Addition
What is Kaizen ? Kaizen means continuous improvement
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Kaizen is basically small small improvements
carried out by the person who is doing the job in hisday to day work
Continuous improvement everyday throughinvolvement of everyone in the organisation is thekey for excellence.
Piling small improvements on top of each other
What is Kaizen ?The Kaizen philosophy implies that :
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Whatever we do can be continuously improved-be it
our working life or personal life.
Kaizen is something that anybody can do, everyoperator must devote time for making
improvements.
Kaizen means looking at everyday work in a newway, seeking out area, aspects of work to improveupon, it represents the struggles on the job, and the
means adopted to overcome these struggles withintuition, creativity, resourcefulness, common senseand determination to break the status quo.
What is Kaizen ? Kaizen in essence, means adopting a new way, not
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just of doing work, but a new way of thinking, one in
which problems are not shunned but eagerly sought
out, welcomed and solved.
Kaizen means creating a place where
employees feel better at work.
- Y. Yasuda
KAIZEN INNOVATIONBig StepsSmall Steps
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Technological Breakthrough
Investment
Result-Oriented
Fast-Growth Economy
Conventional Know-How
Efforts
Process-Oriented
Slow-Growth Economy
Cultural Differences Between Kaizenand Traditional Organisations
TraditionalKaizenItemSl
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RejectionTreasuresProblem focus of
solutions
8.
Critical of shop
floor
Serving Shop FloorSupport staff7.
End result onlyTrends of
Improvement
Measurements6.
Problem / Failure
Source
Improvement SourceShop floor (GEMBA)4.
Static and RoutineConstant ImprovementShop floor methods5.
CostsAssetsView of people3.
Product-OutMarket-InView of customer2.CrisisPreventiveManagement Culture1.
TraditionalKaizenItemSl.
No.
Cultural Differences Between Kaizenand Traditional Organisations
T aditio alKai eIteSl
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Functional control
Results only.Routine short term
Cross Functional
Support ProcessResults change long
term
Management Concern16.
Fast / SkimmingSlow / BroadeningMovement15.
InspectorCoachCareer approach14.
Do as toldOn-going learningDevelopment12.
SpecialiseDespecialiseSupervision13.
AdversaryPartnersAppraisal Unions11.
WeaknessStrengthsApproach to Employee10.Restricted / ClosedShared / OpenInformation9.
TraditionalKaizenItemSl.
No.
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Market-In
TQC
Industrial Robots
QC Circles Suggestion System
Automation
Discipline in the workplace
TPM
Kanban
Quality Improvement
Just-In-Time
Zero Defects
Small Group Activities
Labour-Management Relations
Productivity Improvement
New-Product Development