This study conducted a comprehensive comparison of Item Response Theory (IRT) linking methods applied to a bifactor model, examining their performance on both multiple choice (MC) and mixed format tests within the common item nonequivalent group design framework. Four distinct multidimensional IRT linking approaches were explored, consisting of…

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 exploratory study was built on research spanning three decades. Petersen, Marco, and Stewart (1982) conducted a major empirical investigation of the efficacy of different equating methods. The studies reported in Dorans (1990) examined how different equating methods performed across samples selected in different ways. Recent population…

Equating a test form to itself through a chain of equatings, commonly referred to as circular equating, has been widely used as a criterion to evaluate the adequacy of equating. This paper uses both analytical methods and simulation methods to show that this criterion is in general invalid in serving this purpose. For the random groups design done…

In many cross-cultural research studies, assessment instruments are translated or adapted for use in multiple languages. However, it cannot be assumed that different language versions of an assessment are equivalent across languages. A fundamental issue to be addressed is the comparability or equivalence of the construct measured by each language…

This study presents a procedure for detecting differential item functioning (DIF) for dichotomous and polytomous items in testlet-based tests, whereby DIF is taken into account by adding DIF parameters into the Rasch testlet model. Simulations were conducted to assess recovery of the DIF and other parameters. Two independent variables, test type…

Tailored Response Testing (TRT) is a new type of test that has demonstrated its applicability to the evaluation of human performance in a wide variety of occupations and work settings. The Navy is using TRT to measure the technical proficiency of job incumbents in three of its jobs. The methodology holds great promise for testing aboard ships as…

Performance assessment is reviewed as an emerging form of alternative assessment, focusing on how it has been defined in the research literature, the criteria for evaluating its authenticity, the measurement of process and product, and the link between assessment and instruction. Three important dimensions that must be considered in describing…