Standard errors of Tucker equating

Abstract

Large sample standard errors are derived for the Tucker linear test score equating method under the common item nonequivalent populations design. Standard errors are derived without the normality assumption that is commonly made in the derivation of standard errors of linear equating. The behavior of the standard errors is studied using a computer simulation and a real data example. In the simulation, the derived standard errors were reasonably accurate. In the real data example, the derived standard errors agreed closely with standard errors estimated using Efron’s (1982) bootstrap.