In generalizability theory studies in large-scale testing contexts, sometimes a facet is very sparsely crossed with the object of measurement. For example, when assessments are scored by human raters, it may not be practical to have every rater score all students. Sometimes the scoring is systematically designed such that the raters are…

This study compared and illustrated four differential distractor functioning (DDF) detection methods for analyzing multiple-choice items. The log-linear approach, two item response theory-model-based approaches with likelihood ratio tests, and the odds ratio approach were compared to examine the congruence among the four DDF detection methods.…

The purpose of the present study was to develop and evaluate two procedures flagging consequential item parameter drift (IPD) in an operational testing program. The first procedure was based on flagging items that exhibit a meaningful magnitude of IPD using a critical value that was defined to represent barely tolerable IPD. The second procedure…

This article addresses validity and fairness in the testing of English language learners (ELLs)--students in the United States who are developing English as a second language. It discusses limitations of current approaches to examining the linguistic features of items and their effect on the performance of ELL students. The article submits that…

Diversity and heterogeneity among language groups have been well documented. Yet most fairness research that focuses on measurement comparability considers linguistic minority students such as English language learners (ELLs) or Francophone students living in minority contexts in Canada as a single group. Our focus in this research is to examine…

Heterogeneity within English language learners (ELLs) groups has been documented. Previous research on differential item functioning (DIF) analyses suggests that accurate DIF detection rates are reduced greatly when groups are heterogeneous. In this simulation study, we investigated the effects of heterogeneity within linguistic (ELL) groups on…

The Smarter Balanced Assessment Consortium (Smarter Balanced) serves over 19 million primary, middle, and high school students from across 26 states and affiliates (Smarter Balanced, n.d). As one of the two Race to the Top (RTT)-funded assessment consortia, Smarter Balanced is responsible for developing formative, interim, and summative…

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…

In this article, we discuss and illustrate two centering and anchoring options available in differential item functioning (DIF) detection studies based on the hierarchical generalized linear and generalized linear mixed modeling frameworks. We compared and contrasted the assumptions of the two options, and examined the properties of their DIF…

The study of measurement invariance in polytomous items that targets individual score levels is known as differential step functioning (DSF). The analysis of DSF requires the creation of a set of dichotomizations of the item response variable. There are two primary approaches for creating the set of dichotomizations to conduct a DSF analysis: the…

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 was a study of differential item functioning (DIF) for grades 4, 7, and 10 reading and mathematics items from state criterion-referenced tests. The tests were composed of multiple-choice and constructed-response items. Gender DIF was investigated using POLYSIBTEST and a Rasch procedure. The Rasch procedure flagged more items for DIF than did…

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…

Investigations of differential item functioning (DIF) have been conducted mostly on ability tests and have found little evidence of easily interpretable differences across various demographic subgroups. In this study, we examined the degree to which DIF in biographical data items referencing academically relevant background, experiences, and…

In this study, we examine the degree of construct comparability and possible sources of incomparability of the English and French versions of the Programme for International Student Assessment (PISA) 2003 problem-solving measure administered in Canada. Several approaches were used to examine construct comparability at the test- (examination of…