In classical test theory (CTT), we would say something like:
"Your score is higher than 80% of people in the normgroup."
In item response theory (IRT), how do we interpret/feedback a theta score of 0.85?
I know that it is supposed to be 'item-referenced' as opposed to be 'norm-referenced', but I am unsure how to put this to practice.
You are able to solve tasks that are so difficult that only 20% of others can?
Best Answer
theta is a standardized z-score. theta of 0 = mean of your latent trait, SD = 1. theta of 0.85 means nearly 1 standard deviation above the mean.