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Statistical Design of Experiments
Statistical Design of Experiments
Two-Way Interactions
Two-Way Interactions
10
2
5
=1
÷
÷
ø
ö
ç
ç
è
æ
Three -Way Interactions
Three &#45;Way Interactions
-Way Interactions
Way Interactions
10
34
55
==1
÷÷
÷÷
øø
öö
ç
ç
è
æ
5
ç
ç
è
æ
Four-Way Interactions
Four&#45;Way Interactions
-Way Interactions
Way Interactions
AxBxCxDCxD
AxBxCxDCxD
AxBxCxECxE
AxBxCxECxE
AxBxDxEDxE
AxBxDxEDxE
AxCxDxE
AxCxDxE
BxCxDxE
BxCxDxE
AxB
AxBAxBxC
AxC
AxC
AxD
AxD
AxE
AxEAxCxD
BxC
BxC
BxD
BxDAxDxE
BxE
BxE
CxD
AxBxC
AxBxD
AxBxD
AxBxE
AxBxE
AxCxD
AxCxE
AxCxE
AxDxE
BxCxD
BxCxD
BxCxE
BxCxE
BxDxE
BxDxE
CxDxE
CxDxE
Five -Way Interactions
Five -Way Interactions
5
5
=
÷
÷
ø
ö
ç
ç
è
æ
Information obtained by conducting a
Information obtained by conducting a
2
2
5
5
Full Factorial Experiment
Full Factorial Experiment
Main Effects
Main Effects
A
A
B
B
C
C
D
D
E
E
AxBxCxDxE
AxBxCxDxE