2. Basic Tools

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    Basic Tools of TQM

    Seven Basic Tools of Quality is a designation

    given to a fixed set of graphical techniques

    identified as being most helpful in

    troubleshooting issues related to quality.

    They are called basic because they are suitable for people

    with little formal training in statistics and because they can

    be used to solve the vast majority of quality-related issues.

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    Basic Tools of TQM

    •   Scatter Diagram

    •   Pareto Chart 

    •   Histogram

    •   Flow Chart

    •   Cause and Eect Diagram

    •   Control Charts

    •   Check Sheet

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    Basic Tools of TQM

      Check Sheet

    generic Tool which can !e used forcollection and anal"sis of data #

    structured and $re$ared form that can !eada$ted for wide %ariet" of issuesWhen to se a Check Sheet

    &hen collecting data from a $roduction $rocess

    &hen collecting data on the fre'uenc" or$atterns of e%ents( $ro!lems( defects( defectlocation( defect causes

    When data can be observed and collected repeatedly by the same

    person or at the same location

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    Basic Tools of TQM

      !xample of Check Sheet

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    Basic Tools of TQM

      "o# to prepare$

    Decide what event or problem will be observed – Develop

    operational definitions

    Decide when data will be collected and for how longDesign the form – Set it up so that data can be recorded simply by

    making check ( 

    ) marks or Xs or similar symbolsLabel all spaces on the form!est the check sheet for a short trial period to be sure it collects

    the appropriate data and is easy to use

    "ach time the targeted event or problem occurs# record data on

    the check sheet

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    Basic Tools of TQM  Control Charts

    gra$hical techni'ue to stud" the changesto a $rocess o%er time

    When to se a Control Chart

    When determining whether a process is stable (in statistical control)

    When predicting the e$pected range of outcomes from a process

    When controlling ongoing processes by finding and correcting

    problems as they occur

    When determining whether your %uality improvement pro&ect

    should aim to prevent specific problems or to make fundamental

    changes to the process

    When analy'ing patterns of process variation from specialcauses (nonroutine events) or common causes (built into the

    process)

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    Basic Tools of TQM

      !xample of Control Charts

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    Basic Tools of TQM

      "o# to prepare$hoose the appropriate control chart for your data Determine the appropriate time period for collecting and plotting

    data ollect data# construct your chart and analy'e the data 

    Look for *outofcontrol signals+ on the control chart When one isidentified# mark it on the chart and investigate the cause

    Document how you investigated# what you learned# the cause and

    how it was correctedontinue to plot data as they are generated – ,s each new data

    point is plotted# check for new outofcontrol signalsWhen you start a new control chart# the process may be out of

    control -f so# the control limits calculated from the first ./ points

    are conditional limits When you have at least ./ se%uential points

    from a period when the process is operating in control# recalculate

    control limits

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    Basic Tools of TQM

      %areto Chart

    gra$hical techni'ue used to identif" thesigni)cance of indi%idual factors

    When to se a %areto chart

    When analy'ing broad causes by looking at their specific components

    When there are many problems or causes and you want to focus on

    the most significant

    When analy'ing data about the fre%uency of problems or causes

    in a process

    When communicating with others about your data 

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    Basic Tools of TQM

      !xample of %areto Chart

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    Basic Tools of TQM

      "o# to prepare$ Decide what categories you will use to group items Decide what measurement is appropriate ommon measurements are

    fre%uency# %uantity# cost and time Decide what period of time the 0areto chart will cover1 2ne work cycle3 2ne

    full day3 , week3 ollect the data# recording the category each time (2r assemble data that

    already e$ist) Subtotal the measurements for each category Determine the appropriate scale for the measurements you have collected

    !he ma$imum value will be the largest subtotal from step 4 5ark the scale

    on the left side of the chart onstruct and label bars for each category 0lace the tallest at the far left#

    then the ne$t tallest to its right and so on -f there are many categories with

    small measurements# they can be grouped as *other+

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    Basic Tools of TQM

      !xample

    Complaint Count

    Defect 1 65

    Defect 2 109

    Defect 3 12

    Defect 4 30

    Defect 5 789

    Defect 6 27

    Defect 7 9

    Defect 8 621

    Defect 9 45

    Defect 10 15

    Complaint Count Cumulative Count Cumulative &

    Defect 5 789 789 45.8

    Defect 8 621 1410 81.9

    Defect 2 109 1519 88.2

    Defect 1 65 1584 92.0

    Defect 9 45 1629 94.6

    Defect 4 30 1659 96.3

    Defect 6 27 1686 97.9

    Defect 10 15 1701 98.8

    Defect 3 12 1713 99.5Defect 7 9 1722 100.0

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    Basic Tools of TQM

      !xample

    0

    100

    200

    300

    400

    500

    600

    700

    800

    900

    0.0

    10.0

    20.0

    30.0

    40.0

    50.0

    60.0

    70.0

    80.0

    90.0

    100.0

    Defects

    Count Cumulati%e *

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    Basic Tools of TQM  Scatter 'iagram

    +sed to identif" the relation !etween%aria!les( !" $lotting $airs of numericaldata( with one %aria!le on each a,isWhen to se a Scatter 'iagram

    When trying to determine whether the two variables are related

    When your dependent variable may have multiple values for each

    value of your independent variable

    When you have paired numerical data 

    o When trying to identify potential root causes of problems

    o When determining whether two effects that appear to be

    related both occur with the same cause

    o When testing for autocorrelation before constructing a control chart

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    Basic Tools of TQM

      !xample of Scatter 'iagram

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    Basic Tools of TQM

      "o# to prepare$ ollect pairs of data where a relationship is suspected Draw a graph with the independent variable on the hori'ontal a$is and the

    dependent variable on the vertical a$is – 6or each pair of data# put a dot or a

    symbol where the $a$is value intersects the ya$is value (-f two dots fall

    together# put them side by side# touching# so that you can see both) Look at the pattern of points to see if a relationship is obvious -f the data

    clearly form a line or a curve# you may stop !he variables are correlated

    7ou may wish to use regression or correlation analysis now

    Otherwise, complete the following steps  Divide points on the graph into four %uadrants -f there are X points on the

    graph#o ount X8. points from top to bottom and draw a hori'ontal lineo ount X8. points from left to right and draw a vertical lineo -f number of points is odd# draw the line through the middle point

    ount the points in each %uadrant Do not count points on a line

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    Basic Tools of TQM

      "o# to prepare$ (contd.)

    ,dd the diagonally opposite %uadrants 6ind the smaller sum and the total

    of points in all %uadrants

    , 9 points in upper left : points in lower right; 9 points in upper right : points in lower left

    < 9 the smaller of , and ;

    = 9 , : ; Look up the limit for = on the trend test table

    o -f < is less than the limit# the two variables are relatedo

    -f < is greater than or e%ual to the limit# the pattern could have occurredfrom random chance

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    Basic Tools of TQM

      !xample

    N = A + B

    = 24

    A = 9 + 9 = 18

    B = 3 + 3 = 6Q = 6

    Limit = 6

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    Basic Tools of TQM  Scatter 'iagram Considerations

    >ere are some e$amples of situations in which you might use a scatter

    diagram1 ?ariable , is the temperature of a reaction after @4 minutes ?ariable ;

    measures the color of the product 7ou suspect higher temperature

    makes the product darker 0lot temperature and color on a scatter

    diagram ?ariable , is the number of employees trained on new software# and

    variable ; is the number of calls to the computer help line 7ou suspect

    that more training reduces the number of calls 0lot number of people

    trained versus number of calls !o test for autocorrelation of a measurement being monitored on a

    control chart# plot this pair of variables1 ?ariable , is the measurement at

    a given time ?ariable ; is the same measurement# but at the previous

    time -f the scatter diagram shows correlation# do another diagram where

    variable ; is the measurement two times previously Aeep increasing the

    separation between the two times until the scatter diagram shows no

    correlation

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    Basic Tools of TQM

    "ven if the scatter diagram shows a relationship# do not assume that one

    variable caused the other ;oth may be influenced by a third variable When the data are plotted# the more the diagram resembles a straight line#

    the stronger the relationship

    -f a line is not clear# statistics (= and

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    Basic Tools of TQM

      Cause and !ffect 'iagram

    +sed to structure the !rain Storming

    Session # to sort ideas into usefulcategoriesMan" Possi!le Causes are identi)ed for astated $ro!lem and the eect on the$ro!lem are identi)edWhen to se a Cause and !ffect 'iagram

    "specially when a teamBs thinking tends to fall into ruts

    When identifying possible causes for a problem

    lso called -shikawa or Fish!one Diagram

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    Basic Tools of TQM

      !xample of Cause and !ffect 'iagram

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    Basic Tools of TQM

      !xample of Cause and !ffect 'iagram

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    Basic Tools of TQM  "o# to prepare$

    ,gree on a problem statement (effect) Write it at the center right of thepaper Draw a bo$ around it and draw a hori'ontal arrow running to it

    ;rainstorm the ma&or categories of causes of the problem -f this is

    difficult use generic headings1o 5ethodso 5achines (e%uipment)o 0eople (manpower)o 5aterialso 5easuremento "nvironment

    Write the categories of causes as branches from the main arrow

    ;rainstorm all the possible causes of the problem ,sk1 *Why does thishappen3+ ,s each idea is given# the facilitator writes it as a branch from

    the appropriate category auses can be written in several places if they

    relate to several categories ,gain ask *why does this happen3+ about each cause Write sub–causes

    branching off the causes ontinue to ask *Why3+ and generate deeper

    levels of causes Layers of branches indicate causal relationships

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    Basic Tools of TQM  *lo# Chart

    +sed to identif" the $atterns within thedata collected from multi$le sources and

    clu!!ed together # to identif" the meaningof the %ast data !" identif"ing $atternsWhen to se a *lo# Chart

    !o study a process for improvement

    !o develop understanding of how a process is done

    lso called Strati)cation Charts

    When better communication is needed between people involved

     with the same process

    !o communicate to others how a process is done

    !o document a process

    When planning a pro&ect

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    Basic Tools of TQM

      !xample of *lo# Chart

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    Basic Tools of TQM

      "o# to prepare$

    Define the process to be diagrammed Write its title at the top of the work

    surface Discuss and decide on the boundaries of your process1 Where or when

    does the process start3 Where or when does it end3 Discuss and decideon the level of detail to be included in the diagram ;rainstorm the activities that take place Write each on a card or sticky

    note Se%uence is not important at this point# although thinking in

    se%uence may help people remember all the steps ,rrange the activities in proper se%uence

    When all activities are included and everyone agrees that the se%uence iscorrect# draw arrows to show the flow of the process

    Ceview the flowchart with others involved in the process (workers#

    supervisors# suppliers# customers) to see if they agree that the process is

    drawn accurately

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    Basic Tools of TQM  "istogram

    +sed to identif" the fre'uenc" ofoccurrence of a %aria!le in a set of data #looks %er" much like a !ar chartWhen to se a "istogram

    When you want to see the shape of the dataBs distribution#

    especially when determining whether the output of a process is

    distributed appro$imately normally

    When the data are numerical

    When analy'ing what the output from a supplierBs process looks like

    When seeing whether a process change has occurred from onetime period to another

    When determining whether the outputs of two or more processes

    are different

    When you wish to communicate the distribution of data %uickly

    and easily to others

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    Basic Tools of TQM

      !xample of "istogram

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    Basic Tools of TQM

      "o# to prepare a "istogram

    ollect consecutive data points from a process Determine the number of bars and the range of numbers that go into each

    bar

    Draw $ and ya$es on graph paper 5ark and label the ya$is for countingdata values 5ark and label the $a$is with the data ranges ( values) from the

     worksheet Do not allow for spaces between bars ;efore drawing any conclusions from your histogram# satisfy yourself

    that the process was operating normally during the time period beingstudied

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    Basic Tools of TQM  !xample

    'ata

    83 75

    78 83

    91 84

    87 79

    77 90

    80 74

    77 81

    8787

    84 71

    72 76

    77 83

    80 90

    93 80

    96 81

    80 87

    78 83

    72 9087 87

    95 93

    83 87

    90 74

    81 91

    87 88

    93 73

    89 73

     Data 50

     Max Value 96 Min Value 71

     Range 25

     No of Bar 9

     !i"t# 3

    Bars Bars coded *requency

    70$72 72 3

    73$75 75 5

    76$78 78 6

    79$81 81 8

    82$84 84 7

    85$87 87 8

    88$90 90 6

    91$93 93 5

    94$96 96 2

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    Basic Tools of TQM

      !xample

    0

    1

    2

    3

    4

    5

    6

    7

    8

    9

    Histogram

    Fre'uenc"

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    Basic Tools of TQM

      Typical shapes of "istogram