Increasing Item Complexity: A Possible Cause of Scale Shrinkage for Unidimensional Item Response Theory

Wendy M. Yen

69 citations0/0 files storedPsychometrika

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Psychometric Methodologies and Testing Psychological Testing and Assessment Educational Assessment and Pedagogy

Abstract

When the three-parameter logistic model is applied to tests covering a broad range of difficulty, there frequently is an increase in mean item discrimination and a decrease in variance of item difficulties and traits as the tests become more difficult. To examine the hypothesis that this unexpected scale shrinkage effect occurs because the items increase in complexity as they increase in difficulty, an approximate relationship is derived between the unidimensional model used in data analysis and a multidimensional model hypothesized to be generating the item responses. Scale shrinkage is successfully predicted for several sets of simulated data.

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References

2012Applications of Item Response Theory To Practical Testing Problems 1979Unifactor Latent Trait Models Applied to Multifactor Tests: Results and Implications 1984Effects of Local Item Dependence on the Fit and Equating Performance of the Three-Parameter Logistic Model 1984Estimating Latent Distributions 2007Applications of Item Response Theory 1975The ‘Ability’ Scale in Item Characteristic Curve Theory

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