I am trying to create a factor variable with 3 levels and add it to an existing data frame with the condition that this new factor is as uncorrelated as possible with the the variables in the data frame.
Is there an R function that can help me accomplish this?
To elaborate, I have an existing experimental design and I want to augment it with this new factor variable with 3 levels with the condition that it is orthogonal as possible to the existing design.
Typically, I use the AlgDesign to create d-optimal designs using the optFederov() function, but it is not clear to me if I can coerce the functions in that package to accomplish what I want.
