International surveys are increasingly being used to understand nonacademic outcomes like math and science motivation, and to inform education policy changes within countries. Such instruments assume that the measure works consistently across countries, ethnicities, and languages--that is, they assume measurement invariance. While studies have…

A common finding in studies of differential prediction across groups is that although regression slopes are the same or similar across groups, group differences exist in regression intercepts. Building on earlier work by Birnbaum (1979), Millsap (1998) presented an invariant factor model that would explain such intercept differences as arising due…

Using data from the U.S. Decennial Census and the National Longitudinal Surveys, we find little evidence of differences in the return to schooling across racial and ethnic groups, even with attempts to control for ability and measurement error biases. While our point estimates are relatively similar across racial and ethnic groups, our conclusion…