Applied Statistics and Probability for Engineers

562 CHAPTER 14 DESIGN OF EXPERIMENTS WITH SEVERAL FACTORS

Table 14-31 A2IV^7 ^3 Fractional Factorial Design

Basic Design

Run ABCDEABC FBCD GACD

1 

2 

3 

4 

5 

6 

7 

8 

9 

10 

11 

12 

13 

14 

15 

16 

defining relation. For example, the alias of Ais

ABDCEABCFBCGABCDECDFACDG

BEFABEGFGADEFDEGACEFGABDFGBCDEFG

This design is of resolution III, since the main effect is aliased with two-factor interactions. If

we assume that all three-factor and higher interactions are negligible, the aliases of the seven

main effects are

/GGCDBEAF

/FFBCAGDE

/EEACBGDF

/DDABCGEF

/CCAEBFDG

/BBADCFEG

/AABDCEFG

Table 14-32 A2III^7 ^4 Fractional Factorial Design

ABCDAB EAC FBC GABC

















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