The main purposes of this study were to develop bi-factor multidimensional item response theory (BF-MIRT) observed-score equating procedures for mixed-format tests and to investigate relative appropriateness of the proposed procedures. Using data from a large-scale testing program, three types of pseudo data sets were formulated: matched samples,…

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…

This study examined the impact of rater agreement on decisions concerning the alignment between the "Golden State Examination in High School Mathematics" (California Department of Education, 2001a) and the University of California (UC) "Statement on Competencies in Mathematics Expected of Entering College Students" (Academic…

The valid provision of subscores from an item response theory-based test implies a multidimensional test structure. Assuming, in the construction of a new test, that the test features required for a valid and reliable total test score have been specified already, this article describes the resulting subscore performance and the resulting…

This study contributes to understanding sources of gender differential item functioning (DIF) on mathematics tests. This study focused on identifying sources of DIF and differential bundle functioning for boys and girls on the British Columbia Principles of Mathematics Exam (Grade 12) using a confirmatory SIBTEST approach based on a…

Recently, nonparametric methods have been proposed that provide a dimensionally based description of test structure for tests with dichotomous items. Because such methods are based on different notions of dimensionality than are assumed when using a psychometric model, it remains unclear whether these procedures might lead to a different…

College students rated dissimilarity of pairs of common test item formats. A multidimensional scaling model with individual differences fit to data from 111 students suggested that they used 2 dimensions to distinguish among the formats, 1 separating supply from selection items and 1 based on the number of options. (SLD)

A procedure for interpreting multiple-discrimination indices from a multidimensional item-response theory analysis is described and demonstrated with responses of 1,635 high school students to a multiple-choice test. The procedure consists of converting discrimination parameter estimates to direction cosines and analyzing the angular distances…