This article discusses the theoretical and practical contributions of Zumbo, Gadermann, and Zeisser's family of ordinal reliability statistics. Implications, interpretation, recommendations, and practical applications regarding their ordinal measures, particularly ordinal alpha, are discussed. General misconceptions relating to this family of…

This study develops a theoretical model for the costs of an exam as a function of its duration. Two kind of costs are distinguished: (1) the costs of measurement errors and (2) the costs of the measurement. Both costs are expressed in time of the student. Based on a classical test theory model, enriched with assumptions on the context, the costs…

This paper follows a line of logical argumentation to claim that what Samuel Messick conceptualized about construct validation has probably been misunderstood by some educational policy makers, practicing educators, and classroom teachers. It argues that, while Messick's unified theory of test validation aimed at (a) warning educational…

In previous studies, problem solving appraisal has been identified as playing a key role in promoting positive psychological well-being. The Problem Solving Inventory is the most widely used measure of problem solving appraisal and consists of 32 items. The length of the instrument, however, may limit its applicability to large-scale surveys…

This article explores the amount of equating error at a passing score when equating scores from exams with small samples sizes. This article focuses on equating using classical test theory methods of Tucker linear, Levine linear, frequency estimation, and chained equipercentile equating. Both simulation and real data studies were used in the…

The current study sought out to advance the Social Self-Efficacy and Social Outcome Expectations scale using multiple approaches to scale development. Data from 583 undergraduate students were used in two scale development approaches: Classic Test Theory (CTT) and Item Response Theory (IRT). Confirmatory factor analysis suggested a 2-factor…

The aim of this study was to determine the effect of chance success on test equalization. For this purpose, artificially generated 500 and 1000 sample size data sets were synchronized using linear equalization and equal percentage equalization methods. In the data which were produced as a simulative, a total of four cases were created with no…

As an alternative to Cronbach's [alpha] for estimating scale reliability, McDonald's [omega] has attracted increased attention within the methodological community for its less stringent measurement assumptions. Notwithstanding, [omega] is still seldom used by practitioners, likely due to its unavailability in popular software packages (e.g., SPSS)…

The study covers the development and testing of the alternative mechanics survey (AMS), a modified force concept inventory (FCI), which used automatically marked free-response questions. Data were collected over a period of three academic years from 611 participants who were taking physics classes at high school and university level. A total of…

Despite the frequent use of state-of-the-art psychometric models in the field of medical education, there is a growing body of literature that questions their usefulness in the assessment of medical competence. Essentially, a number of authors raised doubt about the appropriateness of psychometric models as a guiding framework to secure and refine…

Writing assessments often consist of students responding to multiple prompts, which are judged by more than one rater. To establish the reliability of these assessments, there exist different methods to disentangle variation due to prompts and raters, including classical test theory, Many Facet Rasch Measurement (MFRM), and Generalizability Theory…

Chalmers recently published a critique of the use of ordinal a[alpha] proposed in Zumbo et al. as a measure of test reliability in certain research settings. In this response, we take up the task of refuting Chalmers' critique. We identify three broad misconceptions that characterize Chalmers' criticisms: (1) confusing assumptions with…

The Fundamentals in Meteorology Inventory (FMI) concept inventory exam was recently developed to gauge understanding of fundamental meteorological concepts among introductory meteorology students. The exam was iteratively tested and refined over several years using a small sample of students. With a goal of evaluating the reliability and validity…

It is a much-lamented fact that research with the potential to inform or influence education policy instead remains policy inert. There are many reasons for this frustrating state of affairs, including a lack of strategic thinking on the part of researchers on how to successfully accomplish outreach--as opposed to communication with peers…

The van Hiele theory and van Hiele Geometry Test have been extensively used in mathematics assessments across countries. The purpose of this study is to use classical test theory (CTT) and cognitive diagnostic modeling (CDM) frameworks to examine psychometric properties of the van Hiele Geometry Test and to compare how various classification…