Blocking problem 6.20 in two Incomplete Blocks and……. Reality strikes…..

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Presentation transcript:

Blocking problem 6.20 in two Incomplete Blocks and……. Reality strikes…..

Block on a term which is likely insignificant. A*B*C*D is the least likely (we hope) to be insignificant so let’s use that to “block” on. How do we do that? Use the contrast for that interaction to divide the treatment combinations into two groups of size 8. Why? A*B*C*D will then be completely confounded with Block.

Block 1

Block 2

New ANOVA with Block

Main Effects

Laser Power*Cell Size

What would happen if your budget were suddenly cut (yeah, it happens a lot) …. Probably run a ½ Fraction of the experiment. Which half? Either Block 1 or Block 2.

What can be estimated? Answer: Only Main Effects. Question: There must be confounding so how do we know what is confounded with what? Answer: The All Powerful Identity Equation!!!! I=A*B*C*D A=B*C*D A*B=C*D, etc.

What does Block 1 data alone tell us?

What does Block 2 data alone tell us?