Categorical Mixture Design

IkjuShin

Hi Folk,
I got some strange question from user.
There are 3 Mixture factors. She hopes to make mixture design in Custom DOE.
Factor A : 0.5 ~ 0.7(50% ~ 70%)
Factor B : 0.1 ~ 0.2(10% ~ 20%)
Factor C : 0.1 ~ 0.4(10% ~ 40%)
* Factor Constraints : A, B can have only specific values(categorical values)
  (A : 0.5, 0.6, 0.7     B : 0.1, 0.2)

I don't think Mixture Design could be done in this situation
Is Mixture Design possible ? If possible, how can we consider the constraints of factors A and B ?

Thanks

 

Phil_Kay

Hi @IkjuShin ,

Given your constraints, I think there are only 6 possible treatments.

A B C
0.5 0.1 0.4
0.7 0.1 0.2
0.7 0.2 0.1
0.5 0.2 0.3
0.6 0.1 0.3
0.6 0.2 0.2

I think that is the design. The only choice is how many repeats of each treatment.

You can use Custom Design with the attached table as a covariate table. Allow covariate runs to be repeated.

Select the model that you want to estimate. (i think you will only be able to estimate a main effects or 2nd order model, not cubic or higher order)

i think that should work. Let me know.

Cheers!
Phil

 

 

Covariates.jmp

Custom Design for IkjuShin.jmp