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Questions tagged [fractional-factorial]

Experimental designs that use only a subset of possible factor combinations. Typically, some factors are intentionally confounded w/ some interactions, making the interactions impossible to estimate, but requiring a smaller N for the study.

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$2^k 3^l$ factorial design

I'm looking for a reference for a $2^k 3^l$ fractional factorial design. Do such things exist? I could use a D-optimal but would prefer a clean aliasing structure. Any tips on software also good. Use ...
59 views

Identifying method by equation (Related to Factorial Fractional Design)

I'd like to know the name of the method in the picture below. It's the same category as full - and factorial fractional design. It's quite difficult to search the net for this equation - I've tried ...
138 views

Comparing distributions from a factorial design

I have the following experimental design: I have six animals, where three received treatment and the other three were used as control (so treatment and control animals are not paired). From each of ...
299 views

How to test for a synergistic effect of A & B with proportions of treatment effects, if I don't have the full 2x2 table?

I currently have a 2x2 table of proportions for treatment effects that looks like: \begin{array}{lll} & \text{Treatment } A & \text{Without Treatment } A \\ \text{...
58 views

164 views

Fractional factorial design. only main effects considered

I have 15 factors which I want to optimize. Instead of running a fractional factorial design consisting of 32 runs, if I run a design consisting of 16 runs, will I only get main effects or any second ...
112 views

Constructing one-ninth fraction of the $3^{5}$ design

I want to construct a $3^{5-2}$ design with $I=ABC$ and $I=CDE$ as generators. The complete defining relation for this design is: $I=ABC=CDE=ABC^{2}DE=ABD^{2}E^{2}$. This is a resolution III design ...
2k views

Full and fractional factorial designs

I have a data set consisting of six independent environmental variables (all binomial: present / absent) and one dependent variable (binomial: disease present / absent). In order to determine the ...