Scores estimated from multidimensional item response theory (IRT) models are not necessarily comparable across dimensions. In this article, the concept of aligned dimensions is formalized in the context of Rasch models, and two methods are described--delta dimensional alignment (DDA) and logistic regression alignment (LRA)--to transform estimated…

Researchers in many disciplines work with ranking data. This data type is unique in that it is often deterministic in nature (the ranks of items "k"-1 determine the rank of item "k"), and the difference in a pair of rank scores separated by "k" units is equivalent regardless of the actual values of the two ranks in…

Numerous researchers have suggested that there are multiple mathematical knowledge and skill areas needed by teachers in order for them to be effective teachers of mathematics: knowledge of the mathematics that are the goals of instruction, advanced mathematics beyond the instructional material, and mathematical knowledge that is specific to what…

The purpose of this study was to examine the impact of dimensionality, common-item set format, and different scale linking methods on preserving equity property with mixed-format test equating. Item response theory (IRT) true-score equating (TSE) and IRT observed-score equating (OSE) methods were used under common-item nonequivalent groups design.…

This study investigated the identification and distribution of perfectionist types with a sample of 111 academically gifted Chinese students aged 17 to 20 in Hong Kong. Three approaches to classification were employed. Apart from the direct questioning approach, the rational approach and the clustering approach classified students using their…

The purpose of this research is to provide additional empirical evidence supporting the use of both a multidimensional profile and an overall evaluation of teaching effectiveness as valid indicators of student perceptions of effective classroom instruction. A factor analytic teaching evaluation instrument was used that also included open-ended…

Online professional development is multidimensional. It encompasses: a) an online, web-based format; b) professional development; and most likely c) specific objectives tailored to and created for the respective online professional development course. Evaluating online professional development is therefore also multidimensional and as such both…

DETECT, the acronym for Dimensionality Evaluation To Enumerate Contributing Traits, is an innovative and relatively new nonparametric dimensionality assessment procedure used to identify mutually exclusive, dimensionally homogeneous clusters of items using a genetic algorithm ( Zhang & Stout, 1999). Because the clusters of items are mutually…