How do I make a partial profile experimental design in R?

I currently use the conjoint package or ALGdesign package, but they all use full profile designs.

For example, the below creates a full profile design where there is 1 level from each factor present

library(conjoint)
experiment<-expand.grid(
  price<-c("a1","a2","a3","a4","a5"),
  tag<-c("b1","b2","b3","b4","b5"),
  smell<-c("c1","c2","c3","c4","c5"),
  aroma<-c("f1","f2","f3","f4","f5"))
design<-caFactorialDesign(data=experiment,type="fractional")
print(design)
print(cor(caEncodedDesign(design)))


I would like a design where there isn’t always a price or tag or smell or aroma shown for each card.


Thank you






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