In equating, smoothing techniques are frequently used to diminish sampling error. There are typically two types of smoothing: presmoothing and postsmoothing. For polynomial log-linear presmoothing, an optimum smoothing degree can be determined statistically based on the Akaike information criterion or Chi-square difference criterion. For…

Many popular global model-data fit indices (GFIs), such as Comparative Fit Index (CFI), Tucker-Lewis Index (TLI), Root Mean Square Error of Approximation (RMSEA), and Standardized Root Mean Square Residuals (SRMSR) are proposed and widely used in the context of structural equation modeling (SEM) with continuous data. The proposed cutoffs of those…

Ordinary least squares (OLS) regression provides optimal linear predictions of a dependent variable, y, given an independent variable, x, but OLS regressions are not symmetric or reversible. In order to get optimal linear predictions of x given y, a separate OLS regression in that direction would be needed. This report provides a least squares…

Factor mixture modeling (FMM) has been increasingly used to investigate unobserved population heterogeneity. This study examined the issue of covariate effects with FMM in the context of measurement invariance testing. Specifically, the impact of excluding and misspecifying covariate effects on measurement invariance testing and class enumeration…

Recently in this journal, Sciffer, Perry, and McConney (2020) argued that school socioeconomic-background (SES) compositional effects are important for both research and policy. In response, this commentary argues that realistic school SES effects can only be identified in properly specified models. Otherwise, the estimated school effects are very…

Purpose: This study aims to compare the performances of Item Response Theory (IRT) equating and kernel equating (KE) methods based on equating errors (RMSD) and standard error of equating (SEE) using the anchor item nonequivalent groups design. Method: Within this scope, a set of conditions, including ability distribution, type of anchor items…

This study presents a latent (item response theory--like) framework of a recently developed classical approach to test scoring, equating, and item analysis, referred to as "D"-scoring method. Specifically, (a) person and item parameters are estimated under an item response function model on the "D"-scale (from 0 to 1) using…

Monte Carlo methods are an accepted methodology in regards to generation critical values for a Maximum test. The same methods are also applicable to the evaluation of the robustness of the new created test. A table of critical values was created, and the robustness of the new maximum test was evaluated for five different distributions. Robustness…

Vertical scales are frequently developed using common item nonequivalent group linking. In this design, one can use upper-grade, lower-grade, or mixed-grade common items to estimate the linking constants that underlie the absolute measurement of growth. Using the Rasch model and a dataset from Curriculum Associates' i-Ready Diagnostic in math in…

In response to the prevalence of perceived internship Pick-up Artist(PUA) behaviours and the lack of appropriate measurement tools, the purpose of this study was to develop and validate a new self-designed questionnaire, the Perceived Internship PUA Scale (PIPUAS), to assess college student interns' perceptions of internship PUA behaviours. The…

This article develops new closed-form variance expressions for power analyses for commonly used difference-in-differences (DID) and comparative interrupted time series (CITS) panel data estimators. The main contribution is to incorporate variation in treatment timing into the analysis. The power formulas also account for other key design features…

The present study examined the metric properties of the Delaware School Climate Survey -- Student (DSCS-S) using a sample of 1524 Serbian high school students. Of the total number of participants, 764 were male and 760 were female with age ranging from 16 to 20 years (M = 17.67, SD = 0.65). Confirmatory factor analysis (CFA) demonstrated that a…

Assessment of measurement invariance is an essential component of construct validity in psychological measurement. However, the procedure for assessing measurement invariance with dichotomous items partially differs from that of invariance testing with continuous items. However, many studies have focused on invariance testing with continuous items…

Structural equation modeling (SEM) has been deemed as a proper method when variables contain measurement errors. In contrast, path analysis with composite-scores is preferred for prediction and diagnosis of individuals. While path analysis with composite-scores has been criticized for yielding biased parameter estimates, recent literature pointed…

The application of diagnostic classification models (DCMs) in the field of educational measurement is getting more attention in recent years. To make a valid inference from the model, it is important to ensure that the model fits the data. The purpose of the present study was to investigate the performance of the limited information…