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    Chapter 5 1Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

    Copyright c! "#1" $ohn %iley & Sons, Inc.

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    Chapter 5 "Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

    Copyright c! "#1" $ohn %iley & Sons, Inc.

    Learning Objectives

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    Chapter 5 'Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

    Copyright c! "#1" $ohn %iley & Sons, Inc.

    (asic S)C *ools

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    Chapter 5 +Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

    Copyright c! "#1" $ohn %iley & Sons, Inc.

    - process is operating ith only chance causes of variationpresent is said to

    be in statistical control.

    - process that is operating in the presence o/ assignable causesis said to beout of control.

    5.2 Chance and Assignable Causes of Variation

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    Chapter 5 0Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

    Copyright c! "#1" $ohn %iley & Sons, Inc.

    - control chart contains

    - center line -n upper control limit

    - lower control limit

    - point that plots ithin thecontrol limits indicates theprocess is in control

    2o action is necessary - point that plots outside the

    control limits is e3idence that theprocess is out o/ control

    In3estigation and correcti3eaction are re4uired to /ind andeliminate assignable causes!

    *here is a close connectionbeteen control charts andhypothesis testing

    5.3 Statistical Basis of the Control Chart

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    Chapter 5 7Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

    Copyright c! "#1" $ohn %iley & Sons, Inc.

    )hotolithography Eample

    Important 4uality characteristic in hard ba6e is resist /lo idth

    )rocess is monitored by a3erage /lo idth

    Sample o/ 5 a/ers

    )rocess mean is 1.5 microns

    )rocess standard de3iation is #.15 microns

    2ote that all plotted points /all inside the control limits

    )rocess is considered to be in statistical control

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    Determination o/ the Control imits

    Chapter 5 8Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

    Copyright c! "#1" $ohn %iley & Sons, Inc.

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    Shehart Control Chart Model

    Chapter 5 9Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

    Copyright c! "#1" $ohn %iley & Sons, Inc.

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    :o the Shehart Control Chart %or6s

    Chapter 5 1#Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

    Copyright c! "#1" $ohn %iley & Sons, Inc.

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    Chapter 5 11Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

    Copyright c! "#1" $ohn %iley & Sons, Inc.

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    ;ut

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    Chapter 5 1'Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

    Copyright c! "#1" $ohn %iley & Sons, Inc.

    More (asic )rinciples

    Control charts may be used to estimate processparameters, hich are used to determine capability

    *o general types o/ control charts =ariables Chapter 0!

    Continuous scale o/ measurement

    Quality characteristic described by central tendency and a measureo/ 3ariability

    -ttributes Chapter 7! Con/orming>noncon/orming

    Counts

    Control chart designencompasses selection o/sample si?e, control limits, and sampling /re4uency

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    Chapter 5 1+Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

    Copyright c! "#1" $ohn %iley & Sons, Inc.

    *ypes o/ )rocess =ariability

    Stationary anduncorrelated data 3ary around a /ied mean in a stableor predictable manner

    Stationaryand autocorrelated successi3e obser3ations are dependentith tendency to mo3e in long runs on either side o/ mean

    Nonstationaryprocess dri/ts ithout any sense o/ a stable or /ied mean

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    Chapter 5 15Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

    Copyright c! "#1" $ohn %iley & Sons, Inc.

    @easons /or )opularity

    o/ Control Charts

    1. Control charts are a pro3en techni4ue /or impro3ing

    producti3ity.

    ". Control charts are e//ecti3e in de/ect pre3ention.

    '. Control charts pre3ent unnecessary process

    adAustment.

    +. Control charts pro3ide diagnostic in/ormation.

    5. Control charts pro3ide in/ormation about processcapability.

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    Chapter 5 10Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

    Copyright c! "#1" $ohn %iley & Sons, Inc.

    '

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    Chapter 5 17Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

    Copyright c! "#1" $ohn %iley & Sons, Inc.

    5.3.3 Samle Si!e and Samling "re#uenc$

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    Chapter 5 18Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

    Copyright c! "#1" $ohn %iley & Sons, Inc.

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    Chapter 5 19Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

    Copyright c! "#1" $ohn %iley & Sons, Inc.

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    Chapter 5 "#Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

    Copyright c! "#1" $ohn %iley & Sons, Inc.

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    Chapter 5 "1Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

    Copyright c! "#1" $ohn %iley & Sons, Inc.

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    Chapter 5 "'Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

    Copyright c! "#1" $ohn %iley & Sons, Inc.

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    Chapter 5 "+Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

    Copyright c! "#1" $ohn %iley & Sons, Inc.

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    Chapter 5 "5Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

    Copyright c! "#1" $ohn %iley & Sons, Inc.

    5.'.+ @ational Subgroups

    *he rational subgroupconcept means that subgroups or samples

    should be selected so that i/ assignable causes are present, chance /ordi//erences betweensubgroups ill be maimi?ed, hile chance /ordi//erence due to assignable causes withina subgroup ill beminimi?ed.

    *o general approaches /or constructing rational subgroups

    1. Sample consists o/ units produced at the same time

    consecutiveunits )rimary purpose is to detect process shi/ts

    ". Sample consists o/ units that are representati3e o/ all units producedsince last sample random sample of all process output over samplinginterval ;/ten used to ma6e decisions about acceptance o/ product E//ecti3e at detecting shi/ts to out

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    Chapter 5 "0Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

    Copyright c! "#1" $ohn %iley & Sons, Inc.

    %ational Subgrous

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    Chapter 5 "7Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

    Copyright c! "#1" $ohn %iley & Sons, Inc.

    )attern is 3ery nonrandom in appearance 19 o/ "5 points plot belo the center line, hile only 0 plot

    abo3e Bolloing +thpoint, 5 points in a ro increase in

    magnitude, a run up *here is also an unusually long run downbeginning ith

    18thpoint

    5.3.5 &atterns on Control Charts

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    Chapter 5 "9Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

    Copyright c! "#1" $ohn %iley & Sons, Inc.

    *he Cyclic )attern

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    Chapter 5 '#Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

    Copyright c! "#1" $ohn %iley & Sons, Inc.

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    Chapter 5 '1Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

    Copyright c! "#1" $ohn %iley & Sons, Inc.

    5.'.0 Discussion o/ the Sensiti?ing @ules

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    Chapter 5 '"Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

    Copyright c! "#1" $ohn %iley & Sons, Inc.

    1. :istogram or stem

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    Chapter 5 ''Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

    Copyright c! "#1" $ohn %iley & Sons, Inc.

    Check Sheet

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    Chapter 5 '+Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

    Copyright c! "#1" $ohn %iley & Sons, Inc.

    ,areto Chart

    C d !ff i

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    Chapter 5 '5Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

    Copyright c! "#1" $ohn %iley & Sons, Inc.

    Cause-and-!ffect iagram

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    Chapter 5 '0Introduction to Statistical Quality Control 7th Edition by Douglas C Montgomery