Experimental design and optimization - 2^k factorial designs
9 important questions on Experimental design and optimization - 2^k factorial designs
Simulation versus agricultural experiments:
* random number streams controllable
* experimental conditions constant
* very many factors
* sequential observations
What is sensitivity wrt one factor?
What is the OFAT approach?
* inefficient
* possible interactions not estimable
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What is 2^k factorial design?
What are design points?
Why shouldn't we choose levels not too close or not too far apart?
Levels not too far apart --> risk of masking nonlinearity, interactions
What is the main effect ej of factor j?
What is the two-factor interaction effect ej1j2 of factors j1 and j2?
half the difference between average effect of j1 when j2 at + level and average effect of j1 when j2 at − level.
How to determine the significance of effects?
2) Estimate each effect n times
3) ompute CI of effect with t distribution with n-1 degrees of freedom
4) If CI does not contain zero --> effect is real
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