560 CHAPTER 14 DESIGN OF EXPERIMENTS WITH SEVERAL FACTORSTable 14-29 Selected 2kpFractional Factorial Designs
Number of Number of
Factors Number of Design Factors Number of Design
k Fraction Runs Generators k Fraction Runs Generators(^32) III^3 ^14 CAB
(^42) IV^4 ^18 DABC
(^52) V^5 ^116 EABCD
(^2) III^5 ^28 DAB
EAC
(^626) VI^132 FABCDE
(^26) IV^216 EABC
FBCD
(^2) III^6 ^38 DAB
EAC
FBC
(^72) VII^7 ^164 GABCDEF
(^2) IV^7 ^232 EABC
GABDE
(^2) IV^7 ^316 EABC
FBCD
GACD
(^2) III^7 ^48 DAB
EAC
FBC
GABC
(^82) V^8 ^264 GABCD
HABEF
(^2) IV^8 ^332 FABC
GABD
HBCDE
(^2) IV^8 ^416 EBCD
FACD
GABC
HABD
(^92) VI^9 ^2128 HACDFG
JBCEFG
(^2) IV^9 ^364 GABCD
HACEF
JCDEF
(^2) IV^9 ^432 FBCDE
GACDE
HABDE
JABCE
(^2) III^9 ^516 EABC
FBCD
GACD
HABD
JABCD
10 HABCG
JACDE
(^2) V^10 ^3128 KACDF
GBCDF
HACDF
JABDE
(^2) IV^10 ^464 KABCE
FABCD
GABCE
HABDE
JACDE
(^2) IV^10 ^532 KBCDE
EABC
FBCD
GACD
HABD
JABCD
(^2) III^10 ^616 KAB
11 GCDE
HABCD
JABF
KBDEF
(^2) IV^11 ^564 LADEF
FABC
GBCD
HCDE
JACD
KADE
(^2) IV^11 ^632 LBDE
EABC
FBCD
GACD
HABD
JABCD
KAB
(^2) III^11 ^716 LAC
Source: Montgomery (2001)
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