The KeyMath-3 Diagnostic Assessment (KM-3) is an individually-administered math assessment used in educational placement and diagnostic decisions. It includes 10 subtests making up Basic Concepts, Operations, and Applications indexes and a "Total Test" composite that measures overall math ability. Here, covariances among subtests from…

Factor analysis is widely utilized to identify latent factors underlying the observed variables. This paper presents a comprehensive comparative study of two widely used methods for determining the optimal number of factors in factor analysis, the K1 rule, and parallel analysis, along with a more recently developed method, the bass-ackward method.…

The aim of this study is to develop a valid and reliable scale to measure the time traps teachers fall into during the teaching-learning process. The sample consists of 234 final-year students continuing their education at the Faculty of Education in the first implementation and 233 pedagogical formation students in the second implementation.…

Mobile learning (M-Learning) allows chemistry students to access educational resources anytime, anywhere, aiding in problem-solving and critical thinking skills. However, it is necessary to identify the components and objectives of M-Learning that have specific usage in chemistry education. Despite the global focus on e-learning, there is…

This note demonstrates that the widely used Bayesian Information Criterion (BIC) need not be generally viewed as a routinely dependable index for model selection when the bifactor and second-order factor models are examined as rival means for data description and explanation. To this end, we use an empirically relevant setting with…

Regression factor score predictors have the maximum factor score determinacy, that is, the maximum correlation with the corresponding factor, but they do not have the same inter-correlations as the factors. As it might be useful to compute factor score predictors that have the same inter-correlations as the factors, correlation-preserving factor…

This report presents a new parent-rated outcome measure of insomnia for children with autism spectrum disorder. Parents of 1185 children with autism spectrum disorder (aged 3-12; 80.3% male) completed the first draft of the measure online. Factor and item response theory analyses reduced the set of 40 items to the final 21-item Pediatric Insomnia…

Currently, there are no existing measures to screen for or diagnose Social (Pragmatic) Communication Disorder (SPCD). We conducted an exploratory factor analysis (EFA) of the Social Communication Disorder Screener (SCDS), a 14-item, parent-report measure based on the DSM-5 diagnostic criteria for SPCD. This EFA examined the internal consistency…

In the existing multidimensional extensions of the log-normal response time (LNRT) model, the log response times are decomposed into a linear combination of several latent traits. These models are fully compensatory as low levels on traits can be counterbalanced by high levels on other traits. We propose an alternative multidimensional extension…

The Satisfaction with Life Scale (SWLS), a popular and widely used measurement tool in cross-cultural research, evaluates life satisfaction. Even though numerous studies have demonstrated factorial validity across a range of samples and cultures, the topic of factorial invariance across various subgroups is still up for debate. There are…

Cross-loadings are common in multiple-factor confirmatory factor analysis (CFA) but often ignored in measurement invariance testing. This study examined the impact of ignoring cross-loadings on the sensitivity of fit measures (CFI, RMSEA, SRMR, SRMRu, AIC, BIC, SaBIC, LRT) to measurement noninvariance. The manipulated design factors included the…

This note demonstrates that measurement invariance does not guarantee meaningful and valid group comparisons in multiple-population settings. The article follows on a recent critical discussion by Robitzsch and Lüdtke, who argued that measurement invariance was not a pre-requisite for such comparisons. Within the framework of common factor…

A frequent criticism of exploratory factor analysis (EFA) is that it does not allow correlated residuals to be modelled, while they can be routinely specified in the confirmatory (CFA) model. In this article, we propose an EFA approach in which both the common factor solution and the residual matrix are unrestricted (i.e., the correlated residuals…

Background/Context: Confirmatory factor analysis (CFA) model is a commonly adopted framework to estimate and test a measurement model. Once a well-fitting final CFA model is selected, the selected model may be used to test structural relationships of the latent constructs with other variables, to construct a test with desired reliability and…

According to cognitive load theory, learning can only be successful when instructional materials and procedures are designed in accordance with human cognitive architecture. In this context, one of the biggest challenges is the accurate measurement of the different cognitive load types as these are associated with various activities during…