This report builds on and extends existent research on population invariance to new tests and issues. The authors lay the foundation for a deeper understanding of the use of population invariance measures in a wide variety of practical contexts. The invariance of linear, equipercentile and IRT equating methods are examined using data from five…

Group differences among ethnic and racial groups on a series of educational measures and outcomes are examined. African-American and Hispanic students perform substantially lower than white and Asian students on the SAT I. These substantial differences also exist on a variety of other admissions tests used for undergraduate, graduate, and…