Projecting to the NAEP Scale: Results from the North Carolina End‐of‐Grade Testing Program

Abstract

Data from the North Carolina End‐of‐Grade test of eighth‐grade mathematics are used to estimate the achievement results on the scale of the National Assessment of Educational Progress (NAEP) Trial State Assessment. Linear regression models are used to develop projection equations to predict state NAEP results in the future, and the results of such predictions are compared with those obtained in the 1996 administration of NAEP Standard errors of the parameter estimates are obtained using a bootstrap resampling technique.

Growth and gaps in mathematics achievement of students with and without disabilities on a statewide achievement test

“…Although not reported in the technical manual, evidence of concurrent and predictive validity for the EOG Mathematics Tests was provided in several additional studies. Williams, Rosa, McLeod, Thissen, and Sanford (1998) linked a shortened version of the EOG Mathematics Tests (1st edition) with NAEP mathematics scores. In a summary of this study, Thissen (2007) reported that the EOG Mathematics Tests-NAEP correlation was .73.…”

Classical Test Theory as a First-Order Item Response Theory: Application to True-Score Prediction from a Possibly Nonparallel Test

“…Our analysis shows that linear regression gives an appropriate linking function (viewed as a BLP approximation to the posterior expectation) but that the proper residual standard deviation is not that given by the usual regression results. This justifies the use of multiple regression to link tests in studies such as Pashley and Phillips (1993) and Williams et al (1995).…”

Classical Test Theory as a First‐order Item Response Theory: Application to True‐score Prediction From a Possibly Nonparallel Test

“…Our analysis shows that linear regression gives an appropriate linking function (viewed as a BLP approximation to the posterior expectation) but that the proper residual standard deviation is not that given by the usual regression results. This justifies the use of multiple regression to link tests in studies such as Pashley and Phillips (1993) and Williams, Billeaud, Davis, Thissen, and Sanford (1995).…”