Examines how item difficulty affects test interpretation, suggesting reliability alone doesn't ensure accuracy.
Psychological tests are commonly evaluated using internal consistency, indexed by Cronbach's α. This emphasis fosters the assumption that maximizing α is sufficient for building useful scales – a position we call the reliability-first myth. The present study illustrates a known but practically important implication of classical test theory: reliability does not uniquely determine how well observed scores support individual-level interpretation. Using a Monte Carlo simulation within a tau-congeneric framework, we varied item-difficulty composition, test length, number of response categories, and mean factor loading. Differentiation was operationalized using the Critical Difference (CD). Response-category count, item-difficulty composition, and test length explained substantial variation in CD, whereas achieved α contributed little unique value. Extreme-difficulty sets yielded the smallest CDs but only by compressing observed-score variance. Mixed-difficulty sets cover the trait more broadly without losing precision. Reliability is therefore necessary but not sufficient for individual-level interpretation.
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Bauditz et al. (2026) studied this question.
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