Does anyone know an R package for nearly orthogonal designs?

I would like to create an experimental design, using 12 runs, up to 10 factors, and with mixed levels (e.g. a combination of 2 and 3 level factors). I would like to explore some nearly-orthogonal designs.

There are lots of packages for orthogonal fractional designs. For example, I have looked at the documentation for AlgDesign, planor, FrF2, support.CEs, DoE.Base.

In SAS, there exist a set of macros for creating orthogonal and nearly orthogonal fractional factorial experimental designs: http://support.sas.com/techsup/technote/ts723.html

Does anyone know if something similar exists in R? The CRAN task view does not mention nearly orthogonal designs. http://cran.r-project.org/web/views/ExperimentalDesign.html

Many thanks Tim

Update: The Federov algorithm implemented in AlgDesign optFederov lets you create nearly orthogonal designs for mixed factors, as shown in the documentation

• Note, I asked this on stackoverflow and was voted off topic, for asking for a recommendation. Please let me know if the same holds here stackoverflow.com/questions/25056315/… – psychonomics Jul 31 '14 at 12:51
• Did you take a look at the task view for experimental design. If so, can you specify how this does not provide the desired information? – Henrik Jul 31 '14 at 12:59
• Yes, asking for packages / code is off-topic here. You might ask on the r-help listserv. – gung - Reinstate Monica Jul 31 '14 at 12:59
• This question appears to be off-topic because it is about asking for r packages / if r can do certain things. – gung - Reinstate Monica Jul 31 '14 at 13:01
• With 12 runs and 10 factors, you can have at most one 3-level factor involved before you start confounding main effects. – rvl Jul 31 '14 at 13:26

Update: The Federov algorithm implemented in AlgDesign optFederov lets you create nearly orthogonal designs for mixed factors, as shown in the documentation

The example in the post below is a non-orthogonal fractional factorial design https://stackoverflow.com/questions/5044876/how-to-create-a-fractional-factorial-design-in-r

• D-optimal designs tend to be close to orthogonal, yes. – kjetil b halvorsen Mar 25 '17 at 18:12

by going to suggested link i created below code and though it might be useful.

###Define factor and level in below code
cand.list = expand.grid(Storage = c("8 GB", "16 GB"),
Brand = c("Samsung", "Apple", "Nokia"),
RAM = c("1 GB", "2 GB"),
BrowseTime = c("24 hour", "36 hour"),
Weight = c("3.95 oz OR 111 gram", "5.04 oz OR 142gram"),
ScreenSize = c("4.7", "5.5", "5.7"))

###same as SPSS orthogonal design 'seed'. Can put any number. Does not matter.
set.seed(69)

###Generate 16 alternatives in an optimal orthogonal design
optFederov( ~ ., data = cand.list, nTrials = 16)

###End of code


I have a question for you all though. I got below values for design efficiency D =0.2519353; A = 5.462121; Ge = 0.748; Dea = 0.714. Which value should we be looking at for D-Eficiency? I assume it's D and how much it should be in order for this design to be usable in a choice experiment as alternatives? is current D value of 0.2519353 good enough for use?

• Thank you for sharing your solution. Your question, though, must be posted in a new thread for it to be answered. – whuber Feb 14 '15 at 15:10
• Well, never mind. I found answer myself after posting this question. stats.stackexchange.com/questions/137695/… – Enthusiast Apr 10 '15 at 21:02