Related Experiment Video
Updated: Sep 25, 2026

Advancing Dyslexia Assessment in Children Through Computerized Testing
Published on: August 16, 2024
Disentangling substantive and method variance in mixed-worded scales: An empirical application of the random
Palmira Faraci1, Giuliana Nasonte2
1Psychometrics Laboratory, Department of Human and Social Sciences, University Kore of Enna, Cittadella Universitaria, 94100, Enna, EN, Italy.
Abstract:
Addressing method variance in mixed-worded scales poses a persistent challenge in psychometric research. This study evaluates the effectiveness of the random intercept item factor analysis (RIIFA) in distinguishing substantive variance from method variance, specifically the wording effect, using the Short Grit Scale (Grit-S) as an applied example. Two independent UK samples were analyzed using exploratory graph analysis (EGA), parallel analysis (PA), and confirmatory factor analysis (CFA) with and without a random intercept factor. Traditional dimensionality assessment methods and RIIFA-based counterparts were compared to evaluate their ability to control for spurious factor emergence due to the wording effect. Consistent with our hypotheses, Study 1 (N = 977) confirmed that traditional retention methods overestimated the number of factors, whereas RIIFA techniques provided unidimensional and more stable solutions, as supported by bootstrap analyses. Study 2 (N = 496) showed that the CFA model incorporating a random intercept factor achieved the best balance between parsimony and fit (root mean square error of approximation [RMSEA] = .048 [.022-.072]; comparative fit index [CFI] = .984; Tucker-Lewis index [TLI] = .974; standardized root mean square residual [SRMR] = .027), while yielding a hierarchical omega of .84. These findings indicate that RIIFA reallocates the explained variance, mitigating artificial bidimensionality and enhancing the structural validity of the scale. RIIFA offers a robust psychometric solution for handling method variance in mixed-worded scales, improving latent structure interpretability. In sum, we recommend its application in cases where wording effects threaten the validity of psychometric measurements.
Related Concept Videos
Factorial Design
Friedman Two-way Analysis of Variance by Ranks
One-Way ANOVA
Two-Way ANOVA
The two-way ANOVA analysis initially begins by stating the null hypothesis that there is an interaction effect between the two factors of a dataset. This effect can be visualized using line segments formed by joining the means for...
Theory of Attribution II: Kelley's Covariation Theory
One-Way ANOVA: Equal Sample Sizes
Different sample means can result in different values for the variance estimate: variance between samples. This is because the variance between samples is calculated as the product of the sample size and the variance between the...
