Experimental design and optimization - 2^k-p fractional factorial designs

6 important questions on Experimental design and optimization - 2^k-p fractional factorial designs

When do we use 2^k-p fraction factorial design?

In the real system when number of factors k may be large --> for reducing the number of combinations

What is resolution and give the 3 resolutions?

Resolution: measure of confouding

Resolution III =:
No main effect is confounded with any other main effect, but main effects are confounded with two-way interactions and some two-way interactions may be confounded with each other.

Resolution IV:
No main effect is confounded with any other main effect or with any two-way interaction, but twoway interactions are aliased with each other

Resolution V:
No main effect or two-way interaction is confounded with any other main effect or two-way interaction.

What is the Plackett-Burman designs?

allow k factors’ effects to be studied in
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What is sequential bifurcation?

First test the entire group for significance. If important: break into two subgroups, test for significance.
The procedure continues in this way, with each unimportant group being eliminated from further consideration and each important group being broken
into two smaller group.

What is the procedure group-screening?

1) simulate design with k groups
2) Identify important groups
3) Fix members of unimportant groups
4) (Partially) split improtant groups;
repeat procedure

When do we use factor screening?

When number of factors k very large, even highly fractionated factorial designs not manageable

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