Measurement invariance is a fundamental assumption in item response theory models, where the relationship between a latent construct (ability) and observed item responses is of interest. Violation of this assumption would render the scale misinterpreted or cause systematic bias against certain...

In many settings, behavioral economists have documented a price reference effect: the fact that a consumer's willingness to pay for a good is affected by difference between the observed price and the reference price they rationally expect. In this paper, we show that such preferences interact...