We did a partial profile conjoint for message testing. Since these are combinations of messages with different themes (attributes), we did NOT have a none option. It was simply - which combination of messages is most compelling?
We are using the partial vote exp transformation. I think the answer is simple, but making sure I'm not missing anything. Without a none option, in our simulator, we would obviously need to simulate more than one message combination/product or else it would always read 100%. And just because we don't have a none option, the calculations are still the same. 100% gets distributed across whatever products we simulate? Mathematically, we run the same calculations for all the options we have there - whether there is a none or not?
And the interpretation of the percents are the same - still ratio - a product that gets a 66% is twice as likely to be preferred as the one that is 33%? And to stat test 2 products, we could do a simple dependent proportions test on these two percents with the sample size?