The purpose of this study was to evaluate the adequacy of three cognitive models, one developed by content experts and two generated from student verbal reports for explaining examinee performance on a grade 3 diagnostic mathematics test. For this study, the items were developed to directly measure the attributes in the cognitive model. The…

English language learners (ELLs) are the fastest growing subgroup in American schools. These students, by a provision in the reauthorization of the Elementary and Secondary Education Act, are to be supported in their quest for language proficiency through the creation of systems that more effectively measure ELLs' progress across years. In…

English language learners (ELLs) and their teachers, schools, and communities face increasingly high-stakes consequences due to test score gaps between ELLs and non-ELLs. It is essential that the field of educational assessment continue to investigate the meaning of these test score gaps. This article discusses the findings of an exploratory study…

One of the best-known methods for setting a benchmark standard on a test is that of Angoff and its modifications. When scored dichotomously, judges estimate the probability that a benchmark student has of answering each item correctly. As in most methods of standard setting, it is assumed implicitly that the unit of the latent scale of the…

Teacher and school accountability systems based on high-stakes tests are ubiquitous throughout the United States and appear to be growing as a catalyst for reform. As a result, educators have increased the proportion of instructional time devoted to test preparation. Although guidelines for what constitutes appropriate and inappropriate test…

Although federal regulations require testing students with severe cognitive disabilities, there is little guidance regarding how technical quality should be established. It is known that challenges exist with documentation of the reliability of scores for alternate assessments. Typical measures of reliability do little in modeling multiple sources…

The results of an exploratory study into measurement of elementary mathematics ability are presented. The focus is on the abilities involved in solving standard computation problems on the one hand and problems presented in a realistic context on the other. The objectives were to assess to what extent these abilities are shared or distinct, and…

Many innovative item formats have been proposed over the past decade, but little empirical research has been conducted on their measurement properties. This study examines the reliability, efficiency, and construct validity of two innovative item formats--the figural response (FR) and constructed response (CR) formats used in a K-12 computerized…

The purpose of this article is to illustrate a seven-step process for determining whether inferential reading items were more susceptible to cultural bias than literal reading items. The seven-step process was demonstrated using multiple-choice data from the reading portion of a reading/language arts test for fifth and seventh grade Hispanic,…

This study examined the validity of test accommodation in third-eighth graders using differential item functioning (DIF) and mixture IRT models. Two data sets were used for these analyses. With the first data set (N = 51,591) we examined whether item type (i.e., story, explanation, straightforward) or item features were associated with item…

The distinction between quantitative and qualitative differences in mastery is essential when monitoring student progress and is crucial for instructional interventions to deal with learning difficulties. Mixture item response theory (IRT) models can provide a convenient way to make the distinction between quantitative and qualitative differences…

Only a small number of qualitative studies have investigated panelists' experiences during standard-setting activities or the thought processes associated with panelists' actions. This qualitative study involved an examination of the experiences of 11 panelists who participated in a prior, one-day standard-setting meeting in which either the…

The assessment of differential item functioning (DIF) in polytomous items addresses between-group differences in measurement properties at the item level, but typically does not inform which score levels may be involved in the DIF effect. The framework of differential step functioning (DSF) addresses this issue by examining between-group…

This study examined the extent to which the underlying factor structure of the 2005 South Carolina Palmetto Achievement Challenge Tests (PACT) in science for grades 3, 4, and 5 was equivalent for students who were administered the test in a regular (standard) or accommodated form. Three accommodation groups were of interest: students who received…

Reading and Mathematics tests of multiple-choice items for grades Kindergarten through 9 were vertically scaled using the three-parameter logistic model and two different scaling procedures: concurrent and separate by grade groups. Item parameters were estimated using Markov chain Monte Carlo methodology while fixing the grade 4 population…