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Master's Partial Credit with lmer [was:RE: lmer]

I approached this problem by creating a dichotomous item for each 
threshold of the rated item. For a 4-level rating (0,1,2,3,4), I created 
3 dichotomous items. A score of 0 translates to 0,0,0; 1=1,0,0; 2=1,1,0 
and 3=1,1,1. Then I combined my created items with the originally 
dichotomous items and ran models using lmer as described in the paper.

I don't know if the mathematics works out exactly, but I think this is 
logically equivalent to the Partial Credit Model. If someone see a 
theoretical reason not to do this, I'd be interested to know.

Clearly, this tactic weights the data from the rated item more than a 
dichotomous items (3x in my example), but that was appropriate for my 
purposes.
Iasonas Lamprianou wrote: