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Seven Quality Tools
Objective
 Present an overview of Seven Quality ToolsPresent an overview of Seven Quality Tools
 Address purpose and applicationsAddress purpose and applications
 Highlight benefitsHighlight benefits
The Deming ChainThe Deming Chain
Improve QualityImprove Quality
Decrease CostsDecrease Costs
Improve ProductivityImprove Productivity
Decrease PriceDecrease Price
Increase MarketIncrease Market
Stay in BusinessStay in Business
Provide More JobsProvide More Jobs
Return on InvestmentReturn on Investment
Why Do This?
Six Problem Solving Steps
 IdentifyIdentify
 recognize the symptoms
 DefineDefine

Agree on the problem and set boundaries
 InvestigateInvestigate
 Collect data
 AnalyzeAnalyze
 Use quality tools to aid
 SolveSolve
 Develop the solution and implement
 ConfirmConfirm
 Follow up to ensure that the solution is effective
Seven Quality Tools
 Cause and Effect DiagramsCause and Effect Diagrams
 Flow ChartsFlow Charts
 ChecksheetsChecksheets
 HistogramsHistograms
 Pareto ChartsPareto Charts
 Control ChartsControl Charts
 Scatter DiagramsScatter Diagrams
Quality Tool
Brainstorming
RulesRules
• Diverse groupDiverse group
• Go around room and get input from all – one ideaGo around room and get input from all – one idea
per turnper turn
• Continue until ideas are exhaustedContinue until ideas are exhausted
• No criticismNo criticism
• Group ideas that go togetherGroup ideas that go together
• Look for answersLook for answers
Quality Tool
Cause and Effect Diagrams
Fishbone Diagram
Purpose:Purpose: Graphical representationGraphical representation
of the trail leading to the root cause ofof the trail leading to the root cause of
a problema problem
How is it done?How is it done?
• Decide which quality characteristic,Decide which quality characteristic,
outcome or effect you want tooutcome or effect you want to
examine (may use Pareto chart)examine (may use Pareto chart)
• Backbone –draw straight lineBackbone –draw straight line
• Ribs – categoriesRibs – categories
• Medium size bones –secondaryMedium size bones –secondary
causescauses
• Small bones – root causesSmall bones – root causes
Cause & Effect Diagrams
Benefits:Benefits:
 Breaks problems down into bite-size pieces to find root causeBreaks problems down into bite-size pieces to find root cause
 Fosters team workFosters team work
 Common understanding of factors causing the problemCommon understanding of factors causing the problem
 Road map to verify picture of the processRoad map to verify picture of the process
 Follows brainstorming relationshipFollows brainstorming relationship
Cause & Effect Diagrams
Sample
Incorrect shipping
documents
Manpower Materials
Methods Machine
Environment
Keyboard sticks
Wrong source info
Wrong purchase order
Typos
Source info incorrect
Dyslexic Transposition
Didn’t follow proc.
Poortraining
Glare on
displayTemp.
No procedure
No communications
No training
Software problem
Corrupt data
Quality Tool
Flow Charts
Flow Charts
Purpose:Purpose:
Visual illustration of the sequence of operations required toVisual illustration of the sequence of operations required to
complete a taskcomplete a task
 Schematic drawing of the process to measure or improve.Schematic drawing of the process to measure or improve.
 Starting point for process improvementStarting point for process improvement
 Potential weakness in the process are made visual.Potential weakness in the process are made visual.
 Picture ofPicture of process as itprocess as it shouldshould be.be.
Benefits:Benefits:
 Identify process improvementsIdentify process improvements
 Understand the processUnderstand the process
 Shows duplicated effort and other non-value-added stepsShows duplicated effort and other non-value-added steps
 Clarify working relationships between people and organizationsClarify working relationships between people and organizations
 Target specific steps in the process for improvement.Target specific steps in the process for improvement.
Flow Charts
Top Down
BenefitsBenefits
• Simplest of allSimplest of all
flowchartsflowcharts
• Used for planning newUsed for planning new
processes or examiningprocesses or examining
existing oneexisting one
• Keep people focused onKeep people focused on
the whole processthe whole process
How is it done?How is it done?
• List major stepsList major steps
• Write them across top ofWrite them across top of
the chartthe chart
• List sub-steps under eachList sub-steps under each
in order they occurin order they occur
Problem report
Hardware return
Failure analysis
Measure
Customer input
Stress analysis
Heat transfer
analysis
Life analysis
Substantiation
Analyze
Hardware
procurement
Customer
coordination
Compliance
verification
Documentation
FAA approval
Improve
Fleet leader
reports
Service reports
Operational
statistics
Control
Flow charts
LinearBenefitsBenefits
 Show what actually happens atShow what actually happens at
each step in the processeach step in the process
 Show what happens when non-Show what happens when non-
standard events occurstandard events occur
 Graphically display processes toGraphically display processes to
identify redundancies and otheridentify redundancies and other
wasted effortwasted effort
How is it done?How is it done?
 Write the process step insideWrite the process step inside
each symboleach symbol
 Connect the Symbols withConnect the Symbols with
arrows showing the direction ofarrows showing the direction of
flowflow
Toolbox
Quality Tool
Sample Linear Flow
1- Fleet Analysis
utilizes data
warehouse reports to
create and distribute
a selection matrix.
2 - Other Groups
compile data as
determined by FRB.
3 - FRB meets to
analyze data.
4 - FRB selects
candidate problems
for additional
investigation.
5 - Action Assignee
performs detail
analysis of failure.
Requests failure
analysis as needed.
6 - Action Assignee
documents
investigation
findings.
7 - Action Assignee
reports investigation
results to FRB.
8 - Fleet Analysis
monitors failed item
to ensure failure has
been corrected.
Still
failing?
9 - FRB Categorize
Failure: Workmanship,
component, material,
maintenance, or
design. Also fleet
wide or RSU.
10 - FRB determines
required corrective
action - i.e. QAM or
supplier corrective
action.
11 - Fleet Analysis
monitors failure to
ensure corrective
action is effective.
Still
failing?
No
Yes
Yes
END
No
Start
Quality Tool
Checksheets
Checksheets
Purpose:Purpose:
 Tool for collecting andTool for collecting and
organizing measured or countedorganizing measured or counted
datadata
 Data collected can be used asData collected can be used as
input data for other quality toolsinput data for other quality tools
Benefits:Benefits:
 Collect data in a systematic andCollect data in a systematic and
organized mannerorganized manner
 To determine source of problemTo determine source of problem
 To facilitate classification ofTo facilitate classification of
data (stratification)data (stratification)
Quality Control Tool
Histograms
Histograms
Purpose:Purpose:
To determine the spread or variation ofTo determine the spread or variation of
a set of data points in a graphicala set of data points in a graphical
formform
How is it done?:How is it done?:
 Collect data, 50-100 data pointCollect data, 50-100 data point
 Determine the range of the dataDetermine the range of the data
 Calculate the size of the class intervalCalculate the size of the class interval
 Divide data points into classesDivide data points into classes
Determine the class boundaryDetermine the class boundary
 Count # of data points in each classCount # of data points in each class
 Draw the histogramDraw the histogram
Stable process, exhibiting bell shape
Histograms
Benefits:
• Allows you to understand at a glance the variation that exists in a
process
• The shape of the histogram will show process behavior
• Often, it will tell you to dig deeper for otherwise unseen causes of
variation.
• The shape and size of the dispersion will help identify otherwise hidden
sources of variation
• Used to determine the capability of a process
• Starting point for the improvement process
Quality Control Tool
Pareto Charts
Pareto Charts
Purpose:Purpose:
Prioritize problems.Prioritize problems.
How is it done?How is it done?
 Create a preliminary list ofCreate a preliminary list of
problem classifications.problem classifications.
 Tally the occurrences in eachTally the occurrences in each
problem classification.problem classification.
 Arrange each classification inArrange each classification in
order from highest to lowestorder from highest to lowest
 Construct the bar chartConstruct the bar chart
Pareto Charts
Benefits:Benefits:
 Pareto analysis helpsPareto analysis helps
graphically displaygraphically display
results so theresults so the
significant fewsignificant few
problems emergeproblems emerge
from the generalfrom the general
backgroundbackground
 It tells you what toIt tells you what to
work on firstwork on first
0
20
40
60
80
100
120
Quantity
Defects 104 42 20 14 10 6 4
Dent Scratch Hole Others Crack Stain Gap
Pareto Charts
Weighted Pareto
 Weighted Pareto charts useWeighted Pareto charts use
the quantity of defectsthe quantity of defects
multiplied by their cost tomultiplied by their cost to
determine the order.determine the order.
0
100
200
300
400
500
600
700
800
900
WeightedCost
Weighted cost 800 208 100 80 42 14 6
Gap Dent Hole Crack Scratch Others Stain
Defect Total Cost
Weighted
cost
Gap 4 200 800
Dent 104 2 208
Hole 20 5 100
Crack 10 8 80
Scratch 42 1 42
Others 14 1 14
Stain 6 1 6
Pareto Charts
Quality Control Tool
Control Charts
Control Charts
Purpose:Purpose:
The primary purpose of a control chart is to predictThe primary purpose of a control chart is to predict
expected product outcome.expected product outcome.
Benefits:Benefits:
 Predict process out of control and out ofPredict process out of control and out of
specification limitsspecification limits
 Distinguish between specific, identifiable causes ofDistinguish between specific, identifiable causes of
variationvariation
 Can be used for statistical process controlCan be used for statistical process control
Control Charts
 Strategy for eliminating assignable-cause variation:Strategy for eliminating assignable-cause variation:
 Get timely data so that you see the effect of the assignableGet timely data so that you see the effect of the assignable
cause soon after it occurs.cause soon after it occurs.
 As soon as you see something that indicates that anAs soon as you see something that indicates that an
assignable cause of variation has happened, search for theassignable cause of variation has happened, search for the
cause.cause.
 Change tools to compensate for the assignable cause.Change tools to compensate for the assignable cause.
 Strategy for reducing common-cause variation:Strategy for reducing common-cause variation:
 Do not attempt to explain the difference between any of theDo not attempt to explain the difference between any of the
values or data points produced by a stable system in control.values or data points produced by a stable system in control.
 Reducing common-cause variation usually requires makingReducing common-cause variation usually requires making
fundamental changes in yourfundamental changes in your processprocess
Control Charts
 Control Chart Decision TreeControl Chart Decision Tree
 Determine Sample size (n)
 Variable or Attribute Data
 Variable is measured on a continuous scale
 Attribute is occurrences in n observations
 Determine if sample size is constant or changing
Control Charts
Start
Variable data
n >10
n = 2 to 10
X bar , R
X bar, S
n = 1
IX, Moving Range
Percent data
Count data
Constant n
Constant n
Changing n
Changing n
p (fraction defective) or
np (number def. Per sample
p
c (defects per sample or
u defects per unit
u
Control Chart Decision Tree
AttributeData
Control Charts
What does it look like?What does it look like?
o Adding the element of timeAdding the element of time
will help clarify yourwill help clarify your
understanding of the causesunderstanding of the causes
of variation in the processes.of variation in the processes.
o A run chart is a line graphA run chart is a line graph
of data points organized inof data points organized in
time sequence and centeredtime sequence and centered
on the median data value.on the median data value.
Control Charts
Individual X charts
How is it done?How is it done?
 The data must have a normal distribution (bell curve).The data must have a normal distribution (bell curve).
 Have 20 or more data points. Fifteen is the absolute minimum.Have 20 or more data points. Fifteen is the absolute minimum.
 List the data points in time order.List the data points in time order. Determine the rangeDetermine the range
between each of the consecutive data points.between each of the consecutive data points.
 Find the mean or average of the data point values.Find the mean or average of the data point values.
 Calculate the control limits (three standard deviations)Calculate the control limits (three standard deviations)
 Set up the scales for your control chart.Set up the scales for your control chart.
 Draw a solid line representing the data mean.Draw a solid line representing the data mean.
 Draw the upper and lower control limits.Draw the upper and lower control limits.
 Plot the data points in time sequence.Plot the data points in time sequence.
Control Charts
 Next, look at the upper and lowerNext, look at the upper and lower
control limits. If your process is incontrol limits. If your process is in
control, 99.73% of all the datacontrol, 99.73% of all the data
points will be inside those lines.points will be inside those lines.
 The upper and lower control limitsThe upper and lower control limits
represent three standard deviationsrepresent three standard deviations
on either side of the mean.on either side of the mean.
 Divide the distance between theDivide the distance between the
centerline and the upper controlcenterline and the upper control
limit into three equal zoneslimit into three equal zones
representing three standardrepresenting three standard
deviations.deviations.
Control Charts
 Search for trends:Search for trends:
 Two out of three consecutiveTwo out of three consecutive
points are in zonepoints are in zone ““CC””
 Four out of five consecutiveFour out of five consecutive
points on the same side ofpoints on the same side of
the center line are on zonethe center line are on zone
““BB”” oror ““CC””
 Only one of 10 consecutiveOnly one of 10 consecutive
points is in zonepoints is in zone ““AA””
Control Charts
Basic Control ChartsBasic Control Charts
interpretation rulesinterpretation rules::
 Specials are any points above the
UCL or below the LCL
 A Run violation is seven or more
consecutive points above or below
the center (20-25 plot points)
 A trend violation is any upward or
downward movement of five or
more consecutive points or drifts
of seven or more points (10-20
plot points)
 A 1-in-20 violation is more than
one point in twenty consecutive
points close to the center line
Quality Control Tool
Scatter Diagrams
Scatter Diagrams
Purpose:Purpose:
To identify the correlations that might
exist between a quality characteristic
and a factor that might be driving it
A scatter diagram shows the correlation
between two variables in a process.
 These variables could be a Critical
To Quality (CTQ) characteristic and
a factor affecting it two factors
affecting a CTQ or two related
quality characteristics.
 Dots representing data points are
scattered on the diagram.
 The extent to which the dots cluster
together in a line across the diagram
shows the strength with which the
two factors are related.
Scatter Diagrams
How is it done?:How is it done?:
• Decide which paired factors you want to examine. Both factors
must be measurable on some incremental linear scale.
• Collect 30 to 100 paired data points.
• Find the highest and lowest value for both variables.
• Draw the vertical (y) and horizontal (x) axes of a graph.
• Plot the data
• Title the diagram
The shape that the cluster of dots takes will tell you something about the
relationship between the two variables that you tested.
Scatter Diagrams• If the variables are correlated,
when one changes the other
probably also changes.
• Dots that look like they are
trying to form a line are strongly
correlated.
• Sometimes the scatter plot may
show little correlation when all
the data are considered at once.
 Stratifying the data, that is,
breaking it into two or
more groups based on
some difference such as
the equipment used, the
time of day, some variation
in materials or differences
in the people involved,
may show surprising
results
Scatter Diagrams
• You may occasionally get scatter
diagrams that look boomerang- or
banana-shaped.
To analyze the strength of the
correlation, divide the scatter plot into
two sections.
Treat each half separately in your
analysis
Benefits:
• Helps identify and test probable causes.
• By knowing which elements of your
process are related and how they are
related, you will know what to control or
what to vary to affect a quality
characteristic.

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Quality tools

  • 2. Objective  Present an overview of Seven Quality ToolsPresent an overview of Seven Quality Tools  Address purpose and applicationsAddress purpose and applications  Highlight benefitsHighlight benefits
  • 3. The Deming ChainThe Deming Chain Improve QualityImprove Quality Decrease CostsDecrease Costs Improve ProductivityImprove Productivity Decrease PriceDecrease Price Increase MarketIncrease Market Stay in BusinessStay in Business Provide More JobsProvide More Jobs Return on InvestmentReturn on Investment Why Do This?
  • 4. Six Problem Solving Steps  IdentifyIdentify  recognize the symptoms  DefineDefine  Agree on the problem and set boundaries  InvestigateInvestigate  Collect data  AnalyzeAnalyze  Use quality tools to aid  SolveSolve  Develop the solution and implement  ConfirmConfirm  Follow up to ensure that the solution is effective
  • 5. Seven Quality Tools  Cause and Effect DiagramsCause and Effect Diagrams  Flow ChartsFlow Charts  ChecksheetsChecksheets  HistogramsHistograms  Pareto ChartsPareto Charts  Control ChartsControl Charts  Scatter DiagramsScatter Diagrams
  • 6. Quality Tool Brainstorming RulesRules • Diverse groupDiverse group • Go around room and get input from all – one ideaGo around room and get input from all – one idea per turnper turn • Continue until ideas are exhaustedContinue until ideas are exhausted • No criticismNo criticism • Group ideas that go togetherGroup ideas that go together • Look for answersLook for answers
  • 7. Quality Tool Cause and Effect Diagrams
  • 8. Fishbone Diagram Purpose:Purpose: Graphical representationGraphical representation of the trail leading to the root cause ofof the trail leading to the root cause of a problema problem How is it done?How is it done? • Decide which quality characteristic,Decide which quality characteristic, outcome or effect you want tooutcome or effect you want to examine (may use Pareto chart)examine (may use Pareto chart) • Backbone –draw straight lineBackbone –draw straight line • Ribs – categoriesRibs – categories • Medium size bones –secondaryMedium size bones –secondary causescauses • Small bones – root causesSmall bones – root causes
  • 9. Cause & Effect Diagrams Benefits:Benefits:  Breaks problems down into bite-size pieces to find root causeBreaks problems down into bite-size pieces to find root cause  Fosters team workFosters team work  Common understanding of factors causing the problemCommon understanding of factors causing the problem  Road map to verify picture of the processRoad map to verify picture of the process  Follows brainstorming relationshipFollows brainstorming relationship
  • 10. Cause & Effect Diagrams Sample Incorrect shipping documents Manpower Materials Methods Machine Environment Keyboard sticks Wrong source info Wrong purchase order Typos Source info incorrect Dyslexic Transposition Didn’t follow proc. Poortraining Glare on displayTemp. No procedure No communications No training Software problem Corrupt data
  • 12. Flow Charts Purpose:Purpose: Visual illustration of the sequence of operations required toVisual illustration of the sequence of operations required to complete a taskcomplete a task  Schematic drawing of the process to measure or improve.Schematic drawing of the process to measure or improve.  Starting point for process improvementStarting point for process improvement  Potential weakness in the process are made visual.Potential weakness in the process are made visual.  Picture ofPicture of process as itprocess as it shouldshould be.be. Benefits:Benefits:  Identify process improvementsIdentify process improvements  Understand the processUnderstand the process  Shows duplicated effort and other non-value-added stepsShows duplicated effort and other non-value-added steps  Clarify working relationships between people and organizationsClarify working relationships between people and organizations  Target specific steps in the process for improvement.Target specific steps in the process for improvement.
  • 13. Flow Charts Top Down BenefitsBenefits • Simplest of allSimplest of all flowchartsflowcharts • Used for planning newUsed for planning new processes or examiningprocesses or examining existing oneexisting one • Keep people focused onKeep people focused on the whole processthe whole process How is it done?How is it done? • List major stepsList major steps • Write them across top ofWrite them across top of the chartthe chart • List sub-steps under eachList sub-steps under each in order they occurin order they occur Problem report Hardware return Failure analysis Measure Customer input Stress analysis Heat transfer analysis Life analysis Substantiation Analyze Hardware procurement Customer coordination Compliance verification Documentation FAA approval Improve Fleet leader reports Service reports Operational statistics Control
  • 14. Flow charts LinearBenefitsBenefits  Show what actually happens atShow what actually happens at each step in the processeach step in the process  Show what happens when non-Show what happens when non- standard events occurstandard events occur  Graphically display processes toGraphically display processes to identify redundancies and otheridentify redundancies and other wasted effortwasted effort How is it done?How is it done?  Write the process step insideWrite the process step inside each symboleach symbol  Connect the Symbols withConnect the Symbols with arrows showing the direction ofarrows showing the direction of flowflow Toolbox
  • 15. Quality Tool Sample Linear Flow 1- Fleet Analysis utilizes data warehouse reports to create and distribute a selection matrix. 2 - Other Groups compile data as determined by FRB. 3 - FRB meets to analyze data. 4 - FRB selects candidate problems for additional investigation. 5 - Action Assignee performs detail analysis of failure. Requests failure analysis as needed. 6 - Action Assignee documents investigation findings. 7 - Action Assignee reports investigation results to FRB. 8 - Fleet Analysis monitors failed item to ensure failure has been corrected. Still failing? 9 - FRB Categorize Failure: Workmanship, component, material, maintenance, or design. Also fleet wide or RSU. 10 - FRB determines required corrective action - i.e. QAM or supplier corrective action. 11 - Fleet Analysis monitors failure to ensure corrective action is effective. Still failing? No Yes Yes END No Start
  • 17. Checksheets Purpose:Purpose:  Tool for collecting andTool for collecting and organizing measured or countedorganizing measured or counted datadata  Data collected can be used asData collected can be used as input data for other quality toolsinput data for other quality tools Benefits:Benefits:  Collect data in a systematic andCollect data in a systematic and organized mannerorganized manner  To determine source of problemTo determine source of problem  To facilitate classification ofTo facilitate classification of data (stratification)data (stratification)
  • 19. Histograms Purpose:Purpose: To determine the spread or variation ofTo determine the spread or variation of a set of data points in a graphicala set of data points in a graphical formform How is it done?:How is it done?:  Collect data, 50-100 data pointCollect data, 50-100 data point  Determine the range of the dataDetermine the range of the data  Calculate the size of the class intervalCalculate the size of the class interval  Divide data points into classesDivide data points into classes Determine the class boundaryDetermine the class boundary  Count # of data points in each classCount # of data points in each class  Draw the histogramDraw the histogram Stable process, exhibiting bell shape
  • 20. Histograms Benefits: • Allows you to understand at a glance the variation that exists in a process • The shape of the histogram will show process behavior • Often, it will tell you to dig deeper for otherwise unseen causes of variation. • The shape and size of the dispersion will help identify otherwise hidden sources of variation • Used to determine the capability of a process • Starting point for the improvement process
  • 22. Pareto Charts Purpose:Purpose: Prioritize problems.Prioritize problems. How is it done?How is it done?  Create a preliminary list ofCreate a preliminary list of problem classifications.problem classifications.  Tally the occurrences in eachTally the occurrences in each problem classification.problem classification.  Arrange each classification inArrange each classification in order from highest to lowestorder from highest to lowest  Construct the bar chartConstruct the bar chart
  • 23. Pareto Charts Benefits:Benefits:  Pareto analysis helpsPareto analysis helps graphically displaygraphically display results so theresults so the significant fewsignificant few problems emergeproblems emerge from the generalfrom the general backgroundbackground  It tells you what toIt tells you what to work on firstwork on first 0 20 40 60 80 100 120 Quantity Defects 104 42 20 14 10 6 4 Dent Scratch Hole Others Crack Stain Gap
  • 24. Pareto Charts Weighted Pareto  Weighted Pareto charts useWeighted Pareto charts use the quantity of defectsthe quantity of defects multiplied by their cost tomultiplied by their cost to determine the order.determine the order. 0 100 200 300 400 500 600 700 800 900 WeightedCost Weighted cost 800 208 100 80 42 14 6 Gap Dent Hole Crack Scratch Others Stain Defect Total Cost Weighted cost Gap 4 200 800 Dent 104 2 208 Hole 20 5 100 Crack 10 8 80 Scratch 42 1 42 Others 14 1 14 Stain 6 1 6 Pareto Charts
  • 26. Control Charts Purpose:Purpose: The primary purpose of a control chart is to predictThe primary purpose of a control chart is to predict expected product outcome.expected product outcome. Benefits:Benefits:  Predict process out of control and out ofPredict process out of control and out of specification limitsspecification limits  Distinguish between specific, identifiable causes ofDistinguish between specific, identifiable causes of variationvariation  Can be used for statistical process controlCan be used for statistical process control
  • 27. Control Charts  Strategy for eliminating assignable-cause variation:Strategy for eliminating assignable-cause variation:  Get timely data so that you see the effect of the assignableGet timely data so that you see the effect of the assignable cause soon after it occurs.cause soon after it occurs.  As soon as you see something that indicates that anAs soon as you see something that indicates that an assignable cause of variation has happened, search for theassignable cause of variation has happened, search for the cause.cause.  Change tools to compensate for the assignable cause.Change tools to compensate for the assignable cause.  Strategy for reducing common-cause variation:Strategy for reducing common-cause variation:  Do not attempt to explain the difference between any of theDo not attempt to explain the difference between any of the values or data points produced by a stable system in control.values or data points produced by a stable system in control.  Reducing common-cause variation usually requires makingReducing common-cause variation usually requires making fundamental changes in yourfundamental changes in your processprocess
  • 28. Control Charts  Control Chart Decision TreeControl Chart Decision Tree  Determine Sample size (n)  Variable or Attribute Data  Variable is measured on a continuous scale  Attribute is occurrences in n observations  Determine if sample size is constant or changing
  • 29. Control Charts Start Variable data n >10 n = 2 to 10 X bar , R X bar, S n = 1 IX, Moving Range Percent data Count data Constant n Constant n Changing n Changing n p (fraction defective) or np (number def. Per sample p c (defects per sample or u defects per unit u Control Chart Decision Tree AttributeData
  • 30. Control Charts What does it look like?What does it look like? o Adding the element of timeAdding the element of time will help clarify yourwill help clarify your understanding of the causesunderstanding of the causes of variation in the processes.of variation in the processes. o A run chart is a line graphA run chart is a line graph of data points organized inof data points organized in time sequence and centeredtime sequence and centered on the median data value.on the median data value.
  • 31. Control Charts Individual X charts How is it done?How is it done?  The data must have a normal distribution (bell curve).The data must have a normal distribution (bell curve).  Have 20 or more data points. Fifteen is the absolute minimum.Have 20 or more data points. Fifteen is the absolute minimum.  List the data points in time order.List the data points in time order. Determine the rangeDetermine the range between each of the consecutive data points.between each of the consecutive data points.  Find the mean or average of the data point values.Find the mean or average of the data point values.  Calculate the control limits (three standard deviations)Calculate the control limits (three standard deviations)  Set up the scales for your control chart.Set up the scales for your control chart.  Draw a solid line representing the data mean.Draw a solid line representing the data mean.  Draw the upper and lower control limits.Draw the upper and lower control limits.  Plot the data points in time sequence.Plot the data points in time sequence.
  • 32. Control Charts  Next, look at the upper and lowerNext, look at the upper and lower control limits. If your process is incontrol limits. If your process is in control, 99.73% of all the datacontrol, 99.73% of all the data points will be inside those lines.points will be inside those lines.  The upper and lower control limitsThe upper and lower control limits represent three standard deviationsrepresent three standard deviations on either side of the mean.on either side of the mean.  Divide the distance between theDivide the distance between the centerline and the upper controlcenterline and the upper control limit into three equal zoneslimit into three equal zones representing three standardrepresenting three standard deviations.deviations.
  • 33. Control Charts  Search for trends:Search for trends:  Two out of three consecutiveTwo out of three consecutive points are in zonepoints are in zone ““CC””  Four out of five consecutiveFour out of five consecutive points on the same side ofpoints on the same side of the center line are on zonethe center line are on zone ““BB”” oror ““CC””  Only one of 10 consecutiveOnly one of 10 consecutive points is in zonepoints is in zone ““AA””
  • 34. Control Charts Basic Control ChartsBasic Control Charts interpretation rulesinterpretation rules::  Specials are any points above the UCL or below the LCL  A Run violation is seven or more consecutive points above or below the center (20-25 plot points)  A trend violation is any upward or downward movement of five or more consecutive points or drifts of seven or more points (10-20 plot points)  A 1-in-20 violation is more than one point in twenty consecutive points close to the center line
  • 36. Scatter Diagrams Purpose:Purpose: To identify the correlations that might exist between a quality characteristic and a factor that might be driving it A scatter diagram shows the correlation between two variables in a process.  These variables could be a Critical To Quality (CTQ) characteristic and a factor affecting it two factors affecting a CTQ or two related quality characteristics.  Dots representing data points are scattered on the diagram.  The extent to which the dots cluster together in a line across the diagram shows the strength with which the two factors are related.
  • 37. Scatter Diagrams How is it done?:How is it done?: • Decide which paired factors you want to examine. Both factors must be measurable on some incremental linear scale. • Collect 30 to 100 paired data points. • Find the highest and lowest value for both variables. • Draw the vertical (y) and horizontal (x) axes of a graph. • Plot the data • Title the diagram The shape that the cluster of dots takes will tell you something about the relationship between the two variables that you tested.
  • 38. Scatter Diagrams• If the variables are correlated, when one changes the other probably also changes. • Dots that look like they are trying to form a line are strongly correlated. • Sometimes the scatter plot may show little correlation when all the data are considered at once.  Stratifying the data, that is, breaking it into two or more groups based on some difference such as the equipment used, the time of day, some variation in materials or differences in the people involved, may show surprising results
  • 39. Scatter Diagrams • You may occasionally get scatter diagrams that look boomerang- or banana-shaped. To analyze the strength of the correlation, divide the scatter plot into two sections. Treat each half separately in your analysis Benefits: • Helps identify and test probable causes. • By knowing which elements of your process are related and how they are related, you will know what to control or what to vary to affect a quality characteristic.

Editor's Notes

  1. Why are we doing this? Because companies with quality programs make more profit. Return on investment is increased.
  2. Identify – must be hands on to recognize the problem Define – Knowing that there is a problem, set up the conditions to sole it Investigate – perform tests and collect data so you can react to facts. Seat of the pants decision making is forbidden. Analyze – Use the quality tools to aid in understanding the problem Solve – Using the data and quality tools come up with the solution and implement it. When implementing the solution it is imperative that the management monitor the implementation at every step. People are resistant to change and must be hounded to ensure it is implemented as envisioned. This is why it is good to have employees involved in the process integral to the solution. It is also the idea behind suggestion programs. Confirm – Follow up!
  3. Cause and Effect diagrams – Ishikawa diagrams of Fishbone diagrams Top down and Linear flow Simple check sheets which lead to Histograms Histograms leading to Pareto charts Pareto charts Scatter charts All of these tools are related
  4. Brainstorming Rules Best in a diverse group of people Record ideas in a visible way – black board, easel… All ideas are valid Go around room until ideas are exhausted Discuss ideas
  5. Man, material, machine, method, environment, measurement (sometimes) Separate various causes into identifiable groups Good basis for showing you where data should be collected
  6. Brainstorm the causes under each category Sometimes just performing the fishbone diagram will enable the problem to be resolved by understanding
  7. In the top chart we see two operators and two machines. In the morning both operators and both machines seem to be working well. However in the afternoon we see both operators are more prone to defects and the machine two is very prone to problems. We conclude there may be some operator fatigue involved AND that there is some condition on machine two that needs to be investigated. Look for something that affects on machine but not the other like sun glare… Conditions Workers Material
  8. Displays distributions Remember the bell curve from school… a few Fs many Bs and Cs a few As.
  9. A histogram is a picture of the statistical variation in your process. Not only can histograms help you know which processes need improvement they can also help you track that improvement This is a process that has too much variation to meet specifications no matter how it is centered. Action must be taken to reduce variation in this process
  10. Column graph in rank order 80% of problems related by 20% of causes The vital few and the trivial many – Dr. Juran Identifies problems to be worked first
  11. Conclusion: We need to concentrate on dents Its good that there are not many gaps because they are very expensive. TRAP This works sometimes but another type of chart is frequently better
  12. Defects times cost Gap becomes the obvious place to start corrective actions Costs more than all others put together!!!
  13. Now that you know which area to look from the Cause and Effect Diagrams Brainstorming Flow Charts Check sheets Histograms Pareto Charts you need some basic information on how to monitor processes.
  14. Assignable cause – also known as special cause Specific problems Need to be identified quickly to stabilize process Dull/broken drill, incorrect tool… Common cause Normal Hard to eliminate Fixed by changes to process Example is run out in a drill press.
  15. There are many types of control charts. Based on the type of data you collect there is a chart for you. Make decisions based on type of data and sample size. VARIABLE CHARTS X bar using R - small sample size – 3 to 5 <7 controls X bar using S – large sample size - >7 IndX using MR- when rational subgroups are not possible ATTRIBUTE CHARTS P chart – sample is large and changeable Np chart - sample is large constant C chart – constant unit – one item – defects per unit U chart – changeable average defects per unit
  16. The patterns in the run chart can help you find where to look for assignable causes of variation. A Run Chart can show you trends or help pinpoint unusual events.
  17. Trends indicate that the process may not be in control One point beyond 3 sigma 2 of 3 points between 2 and 3 sigma 4 of 5 points above2 sigma 8 points in a row in any zone
  18. Shows relationship between two variables
  19. To control variation in any process -it is absolutely essential that you understand which causes are generating which effects.