In this commentary, Englehard and Perkins remark that Maydeu-Olivares has presented a framework for evaluating the goodness of model-data fit for item response theory (IRT) models and correctly points out that overall goodness-of-fit evaluations of IRT models and data are not generally explored within most applications in educational and…

The authors of the Focus article pose important questions regarding whether or not performance-based tasks related to executive functioning are best viewed as reflective or formative indicators. Miyake and Friedman (2012) define executive functioning (EF) as "a set of general-purpose control mechanisms, often linked to the prefrontal cortex…

The purpose of this study is to describe how Guttman, Rasch, and Mokken approached issues related to invariant measurement. These measurement theorists were chosen to illustrate the evolution of our conceptualizations of invariant measurement during the 20th century within the research tradition of item response theory. Item response theory can be…

This paper considers the following questions: (1) what is the relationship between the method of paired comparisons and Rasch measurement theory? (2) what is the relationship between the method of paired comparisons and graph theory? and (3) what can graph theory contribute to the understanding of Rasch measurement theory? It is specifically shown…

A new approach based on Rasch measurement theory is described for examining the quality of ratings from standard-setting judges. Ratings of nine judges for 213 items on a nursing examination show that judges vary in their views of the essential items for nursing certification, with statistically significant variability in the judged essentiality…

A set of procedures is described for constructing an assessment network composed of a connected system of rater and writing task banks within the context of large-scale assessments of written composition. The calibration of the assessment tasks and the measurement of individuals are viewed as separate, although complementary, activities. The…

A many-faceted Rasch model (FACETS) is presented for the measurement of writing ability. The FACETS model is a multivariate extension of Rasch measurement models that can be used to provide a framework for calibrating both raters and writing tasks within the context of writing assessment. A FACETS model is described based on the current procedures…

A Many-Faceted Rasch Model (FACETS) for measurement of writing ability is described, and its use in solving measurement problems in large-scale assessment is illustrated with a random sample of 1,000 students from Georgia's Eighth Grade Writing Test. It is a promising approach to assessment through written compositions. (SLD)