Missing ranked data

This is more of a methodological issue.... (cross posted in
sci.stat.math)

The study involves having participants look at three websites in turn
and after each, making various ratings. After seeing all three
websites there will be additional questions where they'll be asked to
explicitly rank the three on several characteristics. All possible
orderings will be used and counterbalanced.


The issue is that it's quite possible some persons will take too long
and will only be able to see two of the three websites. In these
cases, we'll still have the measures they completed for the individual
websites but does it make any sense at all to have them complete the
ranking items for the two websites they did get to see? In other
words, is there any way to appropriately use those incomplete rankings
or will that data need to be discarded (or not even collected) if it
can't include all three of the websites?


I'd planned on using Friedman's ANOVA for ranks. So if these cases
appear to be randomly distributed across the conditions, would it make
sense to merely give a ranking of "3" for that website for all those
items?


Thanks so much for any advice.

.

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