Nonlinear multilevel latent variable modeling has been suggested as an alternative to traditional hierarchical linear modeling to more properly handle measurement error and sampling error issues in contextual effects modeling. However, a nonlinear multilevel latent variable model requires significant computational effort because the estimation…

This paper uses an approximate average percent-correct methodology to compare the ranks that would be obtained for PISA 2006 countries if the rankings had been derived from items judged by each country to be of highest priority for inclusion. The results reported show a remarkable consistency in the country rank orderings across different sets of…

Mathematics education has emerged to be of prime importance in the United States, as American students' performance has shown to be consistently and significantly lower than many other nations in the world (Rampey, Dion, & Donahue, 2009; National Center for Education Statistics, n.d.; OECD Programme for International Student Assessment, n.d.).…