&3 -

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8 ???????????(2k-p)

• 2k-p Design??k???,?????????,??2k-p????
• 2k Design????????k(???)??????,??2416?2664?28256
  ??????,?26??,64?????64-163????,????C616?????????
  ?,C6215??????????????,??63-6-1542????????(?)????
  ??????
• ?,??????????????????????,???????(????????),???????
  2k?????????,?????????????????????

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2k-p????

• 2k-p Design?????????Screening Experiments,????????
  ???????????????,?????????????
• ????????????
• ????????????

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2k-p????

• ??????????????????????????????????
• ?????????????????????????????
• ?????????????????????????????????? ?

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23-1??

• 23 Design ????23-1 Designs?
• ???(?)

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??????????(Generator)

• ABC???????????(Generator)?

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23-1?????

• ????ABC???,????? I ABC?
• ????ABC??-?,????? I -ABC?

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23-1 Design (IABC)

• ?23-1 Design (IABC) ???4???,4-13????,???????????
  ???

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23-1 ?????????

• ContrastA abca-b-c ContrastAB abcc-a-b
• ContrastB abcb-a-c ContrastAC abcb-a-c
• ContrastC abcc-a-b ContrastBC abca-b-c
• AEA 1/2(abca-b-c) AEBC
• AEB 1/2(abcb-a-c) AEAC
• AEC 1/2(abcc-a-b) AEAB

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Alias ??

• ??A??????????BC???????????,????????????A??????,??
  ?,????ABC???????????????Alias,? lA ? ABC ????
• ??,?23-1 Design (IABC)??Aliases?
• lA ? ABC
• lB ? BAC
• lC ? CAB

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23-1 Design (I-ABC)??Aliases

• ?23-1 Design (I-ABC)??Aliases?
• lA ? A-BC
• lB ? B-AC
• lC ? C-AB
•  
• WHY?

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????????

• ???????????? 23-1 Design,????? IABC,????
  I-ABC,???
• lA ? ABC
• lA ? A-BC
• ??
• (lA lA )/2? A
• (lA lA )/2? BC
• ????????????????????????,??ABC??,?????,???????????
  ???

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??????????(Resolution)

• ??
• ????????R???,p-???????????R-p???????????Alias?
• ??????????????????????????Alias????????2????????
  Alias??23-1 Design?
• ?????????????????????????2????????Alias?2???????
  ??Alias??24-1 Design (IABCD)?
• ?????????????????????????2????????Alias?2???????
  ?3????????Alias??25-1 Design (IABCDE)?

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??2k-1 Design

• ??1.
• ???????????????,??????????-??????? 24-1 Design
  (IABCD)

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??2k-1 Design

• ??2.
• ????????????????,? 24-1 Design (IABCD),?? D D
  (ABCD) ABCD2 ABC ????

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???????????,?????
???????
???????
??????
???? ?3k, 3k-p, CCD,
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24-1 Design Example

• ?? 241.DX5, 24-1 Design (IABCD)
• A???? B???? C???? D??????
• ????Y????

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Aliases for the Example

• A A(ABCD) A2BCD BCD
• B B(ABCD) AB2CD ACD
• C C(ABCD) ABC2D ABD
• D D(ABCD) ABCD2 ABC
• AB
• AC
• BC

• lA ? ABCD
• lB ? BACD
• lC ? CABD
• lD ? DABC
• lAB ? ABCD
• lAC ? ACBD
• lBC ? BCAD

• ??,24-1 Design (IABCD)???????
• Computer Output

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25-1 Design Example

• ?? 251.DX5,25-1 Design (IABCDE)
• A?????? B?????? C????????
• D?????? E?????? ????Y??

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Conclusion for the Example
?????
?????
?????
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2k-2 Design (1/4 ????)

• 2k-1 Design ???? Generator IABCDE. ???????????
• 2k-2 Design ???? Generators?
• 26-2 Design (I ABCE BCDF),??????2k-1
  Design,?????????????????
• ??? IABCE ? I BCDF ??4?,??ABCE?BCDF?,????????
  ??????,??????
• (ABCE)(BCDF) AB2C2DEF ADEF
• ????????? IABCEBCDFADEF

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26-2 Design ???
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26-2 Design (I ABCE BCDFADEF) ?Aliases

• A BCE DEF ABCDF
• B ACE CDF ABDEF
• C
• E
• F
• AB
• BC
• ABD
• ???Aliases??????

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26-2 Design???

• 26-2 Design (I ABCE BCDFADEF)
  ??16???,16-115????,?????6?????????2???????
• ?????
• ContrastA aeabfacfabceadefabdacdabcdef
• -(1)-bef-cef-bc-df-bde-cde-bcdf
• ????
• AEA ContrastA / 8
• SSA ContrastA2 / 16
• ????????????

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26-2 Design_Example

• ?? 262.DX5,
• 26-2 Design
• (I ABCE
• BCDFADEF)
• ??????
• A ????
• B ????
• C ?????????
• D ??????
• E ??????
• F ????
• ???? Y????

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(No Transcript)
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(No Transcript)
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??2k-p Design

• ??p????(Generators)?
• 24-1 Design (IABCD)
• 26-2 Design (I ABCE BCDF)
• ????(Effect)?2p?Aliases?
• 23-1 Design (IABC)?,lA ? ABC
• 26-2 Design (I ABCE BCDF) ?,lA ?
  ABCEDEFABCDF
• ???2k-p-1???(??Aliases)??????

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?2k-p??????(Blocking)

• 26-2 Design (I ABCE BCDF) ?,?ABD????

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(No Transcript)
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(No Transcript)
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(No Transcript)
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(No Transcript)
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Fold-Over Design

• ??274.Dx5
• 27-4 Design (I ABD ACE BCF ABCG)
• Foldover
• 27-4 Design (I -ABD -ACE -BCF ABCG)
• ???????
• ??????????????????????
• ??? ? ? Fold over ??
• ??????????????
• ??? ?? Fold over ??
• ????????????

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??? 2k-p Design
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Plackett-Burman Designs

• ??N?????? k N 1 ???,??N?4????? N 2x ?,??
  2k-p Designs ????N 12?20?24?28?36??Plackett-Burm
  an Design,?????????????
• k11, N12, - - - - - -
• k19, N20, - - - - - - - - -
  -

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9 ???(??)???? (3k-p)

• 3k-p Design??k???,?????3???,??3k-p????
• 2k Design?2k-p Design????????2??,??????????,??????
  ?????????,??????????,????3k-p Design???

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Notes

• 3k-p Design???????Aliases,??????????,?????????????
  ?
• 2k Design?2k-p Design,???nc????,??????????????????
  
• ????????????,?AB2C?A2BC?ABC2?,?????????

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32 Design
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32 Design ??????

• 32 Design ??9???,9-18????,?????????

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3k Design????(Blocking)

• 33 Design ??????? ??AB2C2,
• ?L x12x22x3,??xi??i??????
• ?L (mod 3),?????????

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??????

• ?? 23 Design
• A????? B?????
• ????Y

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