Statistical Design of Experiments
Statistical Design of Experiments
Fractional Factorial DOE
Fractional Factorial DOE
Specific to a Two-Level Fractional Factorial Design
Specific to a Two-Level Fractional Factorial Design
Steps to create a two-level
Steps to create a two-level
1/2 fractional factorial from a
1/2 fractional factorial from a
2-level full factorial
2-level full factorial
1.
1.
Go to the highest order
Go to the highest order
Interaction Column
Interaction Column
AxC
AxC
BxC
BxC
AxB
AxB
AxBxC
AxBxC
B
B
C
C
A
A
2.
2.
Choose all treatment
Choose all treatment
combinations which have a
combinations which have a
“+” or a “+1” in the column
“+” or a “+1” in the column
I = ABC…Z is called the defining
I = ABC…Z is called the defining
relation where ABC…Z represents the
relation where ABC…Z represents the
highest order interaction
highest order interaction
AxC
AxC
BxC
BxC
AxB
AxB
AxBxC
AxBxC
B
B
C
C
A
A
AxC
AxC
BxC
BxC
AxB
AxB
AxBxC
AxBxC
B
B
C
C
A
A
1
1
2
2
3
3
4
4
A
A
B
B
C
C
3.
3.
A two Level 1/2 fractional
A two Level 1/2 fractional
factorial has been created,
factorial has been created,
using the treatment
using the treatment
combinations
combinations
corresponding to the
corresponding to the
selected rows!
selected rows!
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