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…

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…

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…

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…

This study examines the effects of two test administration accommodations on the mathematics performance of students within the context of a large-scale statewide assessment. The two test administration accommodations were resource guides and calculators. A stratified random sample of schools was selected to represent the demographic…

The evidence gathered in the present study supports the use of the simultaneous development of test items for different languages. The simultaneous approach used in the present study involved writing an item in one language (e.g., French) and, before moving to the development of a second item, translating the item into the second language (e.g.,…

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…

Scoring rubrics are routinely used to evaluate the quality of writing samples produced for writing performance assessments, with anchor papers chosen to represent score points defined in the rubric. Although the careful selection of anchor papers is associated with best practices for scoring, little research has been conducted on the role of…

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…

A number of vertical scaling methodologies were examined in this article. Scaling variations included data collection design, scaling method, item response theory (IRT) scoring procedure, and proficiency estimation method. Vertical scales were developed for Grade 3 through Grade 8 for 4 content areas and 9 simulated datasets. A total of 11 scaling…

Much has been written concerning the potential group differences in responding to multiple-choice achievement test items. This discussion has included references to possible disparities in tendency to omit such test items. When test scores are used for high-stakes decision making, even small differences in scores and rankings that arise from male…

Psychometricians continue to develop and evaluate methods for linking test scores, both horizontally and vertically. This article describes a social moderation process for articulating (i.e., linking) performance standards across grade levels for an operational state assessment program. The researchers used generated data to evaluate the likely…