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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 ...
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### 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 ...
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### 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 ...
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### 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 ...