Profile analysis is one of the main tools for studying whether differential item functioning can be related to specific features of test items. While relevant, profile analysis in its current form has two restrictions that limit its usefulness in practice: It assumes that all test items have equal discrimination parameters, and it does not test…

Common response-time-based approaches for non-effortful response behavior (NRB) in educational achievement tests filter responses that are associated with response times below some threshold. These approaches are, however, limited in that they require a binary decision on whether a response is classified as stemming from NRB; thus ignoring…

For assessment scales applied to different groups (e.g., students from different states; patients in different countries), multigroup differential item functioning (MG-DIF) needs to be evaluated in order to ensure that respondents with the same trait level but from different groups have equal response probabilities on a particular item. The…

When dealing with missing responses, two types of omissions can be discerned: items can be skipped or not reached by the test taker. When the occurrence of these omissions is related to the proficiency process the missingness is nonignorable. The purpose of this article is to present a tree-based IRT framework for modeling responses and omissions…

One major aim of international large-scale assessments (ILSA) like PISA is to monitor changes in student performance over time. To accomplish this task, a set of common items (i.e., link items) is repeatedly administered in each assessment. Linking methods based on item response theory (IRT) models are used to align the results from the different…

Multiple group modeling is one of the methods to address the measurement noninvariance issue. Traditional studies on multiple group modeling have mainly focused on item responses. In computer-based assessments, joint modeling of response times and action counts with item responses helps estimate the latent speed and action levels in addition to…

The relationship between inquiry-based learning and science self-efficacy was analysed using data from 57 countries and economics participating in the 2015 Programme for International Student Assessment (PISA). This analysis generated a mediating--moderating model, which involved the mediating role of science interest and the moderating role of…

This study proposes explanatory cognitive diagnostic model (CDM) jointly incorporating responses and response times (RTs) with the inclusion of item covariates related to both item responses and RTs. The joint modeling of item responses and RTs intends to provide more information for cognitive diagnosis while item covariates can be used to predict…

Multilevel bifactor item response theory (IRT) models are commonly used to account for features of the data that are related to the sampling and measurement processes used to gather those data. These models conventionally make assumptions about the portions of the data structure that represent these features. Unfortunately, when data violate these…

A multidimensional Bayesian item response model is proposed for modeling item position effects. The first dimension corresponds to the ability that is to be measured; the second dimension represents a factor that allows for individual differences in item position effects called persistence. This model allows for nonlinear item position effects on…

The aim of this study was to investigate the comparability of feedback across culturally diverse countries by assessing the measurement invariance in PISA 2015 data. A multi-group confirmatory factor analysis showed that the feedback scale implemented in PISA 2015 was not invariant across countries. The intercepts and residuals of the factor model…

The OECD's Programme for International Student Assessment (PISA) has become one of the key studies for evidence-based education policymaking across the globe. PISA has however received a lot of methodological criticism, including how the test scores are created. The aim of this paper is to investigate the so-called 'conditioning model', where…

This article examines whether the way that PISA models item outcomes in mathematics affects the validity of its country rankings. As an alternative to PISA methodology a two-parameter model is applied to PISA mathematics item data from Canada and Finland for the year 2012. In the estimation procedure item difficulty and dispersion parameters are…

This study examined the empirical differences between the tendency to omit items and reading ability by applying tree-based item response (IRTree) models to the Japanese data of the Programme for International Student Assessment (PISA) held in 2009. For this purpose, existing IRTree models were expanded to contain predictors and to handle…

The purpose of this article is to introduce and review the capability and performance of the Stata item response theory (IRT) package that is available from Stata v.14, 2015. Using a simulated data set and a publicly available item response data set extracted from Programme of International Student Assessment, we review the IRT package from…