Measurement invariance is crucial for making valid comparisons across different groups (Kline, 2016; Vandenberg, 2002). To address the challenges associated with invariance testing such as large sample size requirements, the complexity of the model, etc., applied researchers have incorporated parcels. Parcels have been shown to alleviate skewness,…

One major aim of international large-scale assessments (ILSAs) is to monitor changes in student performance over time. To accomplish this task, a set of common items is repeatedly administered in each assessment and linking methods are used to align the results from the different assessments on a common scale. The present article introduces a…

This paper makes a proposal, from the perspective of a research mathematician interested in mathematics education, for broadening and deepening whole number arithmetic instruction, to make it more relevant for the twenty-first century, in particular, to enable students to deal with large numbers, arguably an essential skill for modern citizenship.…

Predictability of behavior is an important characteristic in many fields including biology, medicine, marketing, and education. When a sequence of actions performed by an individual can be modeled as a stationary time-homogeneous Markov chain the predictability of the individual's behavior can be quantified by the entropy rate of the process. This…

When data for multiple outcomes are collected in a multilevel design, researchers can select a univariate or multivariate analysis to examine group-mean differences. When correlated outcomes are incomplete, a multivariate multilevel model (MVMM) may provide greater power than univariate multilevel models (MLMs). For a two-group multilevel design…

The present study examines the measurement property of instructional quality in mathematics education, building on data from teachers and students, by combing TALIS 2013 and PISA 2012 linkage data from seven countries. Confirmatory factor analysis was applied to examine the dimensionality of the construct instructional quality in mathematics…

Multidimensional item response theory (MIRT) models have generated increasing interest in the psychometrics literature. Efficient approaches for estimating MIRT models with dichotomous responses have been developed, but constructing an equally efficient and robust algorithm for polytomous models has received limited attention. To address this gap,…

There is a tradeoff between scale length and psychometric concerns. The two are, in fact, directly linked. Generally, when scales are shortened, reliability is reduced, and when scales are lengthened, reliability is improved, provided the items added to the scale are comparable psychometrically (AERA et al., 2014). Scale reliability, in turn,…

Estimating measurement uncertainties is important for experimental scientific work. However, this is very often neglected in school curricula and teaching practice, even though experimental work is seen as a fundamental part of teaching science. In order to call attention to the relevance of measurement uncertainties, we developed a comprehensive…

Purpose: This paper aims to examine the cognitive processes involved in answering survey questions. It also briefly discusses how the cognitive viewpoint has been challenged by other approaches (such as conversational analysis). Design/methodology/approach: The paper reviews the major components of the response process and summarizes work…

Heart rate (HR) by time curves could be useful as a measure of treatment fidelity (TF). The purposes were to describe the frequency of common recording irregularities (e.g. errors) observed during exercise, validate a process to correct those errors, and determine whether there is a clinically meaningful benefit to data correction. In total, 1895…

There has been some research in the use of propensity scores in the context of measurement error in the confounding variables; one recommended method is to generate estimates of the mis-measured covariate using a latent variable model, and to use those estimates (i.e., factor scores) in place of the covariate. I describe a simulation study…

This study presents a new approach to synthesizing differential item functioning (DIF) effect size: First, using correlation matrices from each study, we perform a multigroup confirmatory factor analysis (MGCFA) that examines measurement invariance of a test item between two subgroups (i.e., focal and reference groups). Then we synthesize, across…

When students present writing tasks that require higher order thinking skills to work, one of the most important problems is scoring these writing tasks objectively. The fact that raters give scores below or above their performance based on several environmental factors affects the consistency of the measurements. Inconsistencies in scoring…

The factor structure, measurement invariance, and internal consistency of the Patient Health Questionnaire for Depression and Anxiety (PHQ-4) was examined with a rural, predominately Hispanic sample (N = 711). Findings supported use of a one-factor model across gender, age groups, and Spanish-speaking groups. Counseling practice and research…