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Mitigating the slipping effect in polytomous scales: The Generalized Conditional Reliability Weighting (G-CRW)
1Department of Educational Sciences, Division of Measurement and Evaluation in Education, Trakya University, İsmail Hakkı Tonguç Campus, 22030, Edirne, Türkiye. afarukkilic@trakya.edu.tr.
Generalized Conditional Reliability Weighting (G-CRW) improves psychological assessment scoring over traditional unit weighting. This new method enhances psychometric indices by accounting for item reliability and person-item inconsistencies.
Area of Science:
- Psychological Measurement
- Psychometrics
- Quantitative Psychology
Background:
- Traditional unit weighting (UW) is widely used in psychological assessment but assumes equal item contribution and is sensitive to person-item response inconsistencies (slipping effect).
- Existing methods often require complex latent-variable modeling, posing challenges for applied researchers seeking efficient and reliable scoring solutions.
Purpose of the Study:
- Introduce and evaluate the Generalized Conditional Reliability Weighting (G-CRW) algorithm, a novel, parsimonious scoring method for polytomous scales.
- Compare the psychometric performance of G-CRW against traditional unit weighting (UW) using Monte Carlo simulations and empirical data.
Main Methods:
- Developed the G-CRW algorithm, which conditionally incorporates item reliability into observed scores based on a person-item congruence threshold.
- Conducted a comprehensive Monte Carlo simulation study across 1134 conditions with 1000 replications to assess psychometric properties.
- Performed an empirical validation using three established scales (Doomscrolling, DASS-21, AAQ-II) with a sample of 349 participants.
Main Results:
- G-CRW demonstrated superior explained variance ratios (EVR) and internal consistency compared to UW, especially under normal distributions and high average factor loadings (≥0.80).
- Confirmatory factor analysis (CFA) fit indices favored G-CRW under weaker loading conditions (0.40), with performance converging under skewed distributions.
- Empirical analyses showed high correlations between G-CRW and UW scores (r > .98), with G-CRW producing selective score adjustments for a subset of respondents.
Conclusions:
- G-CRW offers a computationally efficient, open-source alternative to UW, enhancing psychometric indices without the strict assumptions of latent-variable models.
- The G-CRW algorithm is implemented in the R package WeightMyItems and the FAfA Shiny web application for immediate use and reproducibility.
- G-CRW provides applied researchers with a practical tool to improve score reliability and validity in psychological assessments.
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