Multilevel factor mixture modeling (FMM) is a hybrid of multilevel confirmatory factor analysis (CFA) and multilevel latent class analysis (LCA). It allows researchers to examine population heterogeneity at the within level, between level, or both levels. This tutorial focuses on explicating the model specification of multilevel FMM that considers…

Measurement of latent constructs is one of the most challenging tasks in psychological research. Unlike physical variables, latent constructs are not directly observable but are inferred through individuals' responses to a set of items often referred to as measurement instruments, tests, surveys, or assessments. For decades, exploratory factor…

This article reviews and compares recently proposed factor analytic and item response theory approaches to the study of invariance across groups. Two methods are described and contrasted. The alignment method considers the groups as a fixed mode of variation, while the random-intercept, random-loading two-level method considers the groups as a…

In confirmatory factor analysis quite similar models of measurement serve the detection of the difficulty factor and the factor due to the item-position effect. The item-position effect refers to the increasing dependency among the responses to successively presented items of a test whereas the difficulty factor is ascribed to the wide range of…

This investigation examines the development of two scales that measure elaboration and behaviors associated with stewardship in children. The scales were developed using confirmatory factor analysis to investigate their construct validity, reliability, and psychometric properties. Results suggest that a second-order factor model structure provides…

This study reports the dimensionality and measurement invariance of a modified version of the Phonological Awareness Literacy Screening for Preschoolers (PALS PreK). Practical constraints of conducting child assessments created an opportunity to develop a modified PALS PreK. The sample consisted of 1,168 children tested in a Southwestern state in…

In their 2016 work, Aguirre-Urreta et al. provided a contribution to the literature on causal measurement models that enhances clarity and stimulates further thinking. Aguirre-Urreta et al. presented a form of statistical identity involving mapping onto the portion of the parameter space involving the nomological net, relationships between the…

The Test of Gross Motor Development--Second Edition (TGMD-2) is a widely used evaluation tool of children's fundamental motor skills (FMS). This study illustrates how exploratory structural equation modeling (ESEM) addresses current limitations associated with TGMD-2 factor structure. Using the normative dataset from the TGMD-2 manual, we test…

Position effects may occur in both paper--pencil tests and computerized assessments when examinees respond to the same test items located in different positions on the test. To examine position effects in large-scale assessments, previous studies often used multilevel item response models within the generalized linear mixed modeling framework.…

Augmented reality (AR) technologies could enhance learning in several ways. The quality of an AR-based educational platform is a combination of key features that manifests in usability, usefulness, and enjoyment for the learner. In this paper, we present a multidimensional model to measure the quality of an AR-based application as perceived by…

In this study, the aim was to construct a significant structural measurement model comparing students' affective characteristics with their mathematic achievement. According to this model, the aim was to test the measurement invariances between gender sub-groups hierarchically. This study was conducted as basic and descriptive research. Secondary…

Purpose: This study examines the psychometric properties of the Teamwork Scale for Youth, an assessment designed to measure youths' perceptions of their teamwork competency. Methods: The Teamwork Scale for Youth was administered to a sample of 460 youths. Confirmatory factor analyses examined the factor structure and measurement invariance of the…

The purpose of the current study was to examine dimensionality and concurrent validity evidence of the EARLI numeracy measures (DiPerna, Morgan, & Lei, 2007), which were developed to assess key skills such as number identification, counting, and basic arithmetic. Two methods (NOHARM with approximate chi-square test and DIMTEST with DETECT…

This study investigated equivalence of autism symptom domains in males and females with autism. Symptom data were obtained from 2643 children and adolescents with autism spectrum disorder (352 females, 2291 males; age range = 4-17 years) included in the Simons Simplex Collection. Items from the Social Responsiveness Scale and Autism Diagnostic…

The paper presents the challenges of cross-country and cross-cultural research on the motivation to become a mathematics teacher based on data from the "Teacher Education and Development Study in Mathematics" ("TEDS-M"). Referring to studies from cross-cultural psychology, measurement invariance (MI) of constructs representing…