A psychological framework for different types of items commonly used with mixed-format exams is proposed. A choice model based on signal detection theory (SDT) is used for multiple-choice (MC) items, whereas an item response theory (IRT) model is used for open-ended (OE) items. The SDT and IRT models are shown to share a common conceptualization…

A key obstacle to measurement is the aggregation problem. Where indicators tap into common latent traits in theoretically meaningful ways, the problem may be solved by applying a data-informed ("inductive") measurement model, for example, factor analysis, structural equation models, or item response theory. Where they do not, researchers…

The purpose of this study is to introduce a method for converting scored 4-option multiple-choice (MC) items into scored 3-option MC items without re-pretesting the 3-option MC items. This study describes a six-step process for achieving this goal. Data from a professional credentialing exam was used in this study and the method was applied to 24…

This article considers psychometric properties of composite raw scores and transformed scale scores on mixed-format tests that consist of a mixture of multiple-choice and free-response items. Test scores on several mixed-format tests are evaluated with respect to conditional and overall standard errors of measurement, score reliability, and…

The chapters in this online volume comprise the TIMSS & PIRLS International Study Center's technical report of the methods and procedures used to develop, implement, and report the results of TIMSS 2019. There were various technical challenges because TIMSS 2019 was the initial phase of the transition to eTIMSS, with approximately half the…

Many innovative item formats have been proposed over the past decade, but little empirical research has been conducted on their measurement properties. This study examines the reliability, efficiency, and construct validity of two innovative item formats--the figural response (FR) and constructed response (CR) formats used in a K-12 computerized…

This study tracked gender differential item functioning (DIF) on the English subtest of the Korean College Scholastic Aptitude Test (KCSAT) over a nine-year period across three data points, using both the Mantel-Haenszel (MH) and item response theory likelihood ratio (IRT-LR) procedures. Further, the study identified two factors (i.e. reading…

The Assessment of Language Competence (ALC) certificates is an annual, international testing program developed by the Australian Council for Educational Research to test the listening and reading comprehension skills of lower to middle year levels of secondary school. The tests are developed for three levels in French, German, Italian and…

This study investigated the use of latent class analysis for the detection of differences in item functioning on the Peabody Picture Vocabulary Test-Third Edition (PPVT-III). A two-class solution for a latent class model appeared to be defined in part by ability because Class 1 was lower in ability than Class 2 on both the PPVT-III and the…

Item response theory was used to address gender bias in interest measurement. Differential item functioning (DIF) technique, SIBTEST and DIMTEST for dimensionality, were applied to the items of the six General Occupational Theme (GOT) and 25 Basic Interest (BI) scales in the Strong Interest Inventory. A sample of 1860 women and 1105 men was used.…

Over the past twenty years in performance testing a specific item type with distinguishing characteristics has arisen time and time again. It's been invented independently by dozens of test development teams. And yet this item type is not recognized in the research literature. This article is an invitation to investigate the item type, evaluate…

This article describes a comparative study conducted at the item level for paper and online administrations of a statewide high stakes assessment. The goal was to identify characteristics of items that may have contributed to mode effects. Item-level analyses compared two modes of the Texas Assessment of Knowledge and Skills (TAKS) for up to four…

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…

In educational measurement, the construction of parallel test forms is often a combinatorial optimization problem that involves the time-consuming selection of items to construct tests having approximately the same test information functions (TIFs) and constraints. This article proposes a novel method, genetic algorithm (GA), to construct parallel…

Dorans and Holland (2000) and von Davier, Holland, and Thayer (2003) introduced measures of the degree to which an observed-score equating function is sensitive to the population on which it is computed. This article extends the findings of Dorans and Holland and of von Davier et al. to item response theory (IRT) true-score equating methods that…