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Applied Psychological Measurement
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A Systematic Comparison Between Classical Optimal Scaling and the Two-Parameter IRT Model

Matthijs J. Warrens

Leiden University, the Netherlands

Dato N. M. de Gruijter

Leiden University, the Netherlands

Willem J. Heiser

Leiden University, the Netherlands

In this article, the relationship between two alternative methods for the analysis of multivariate categorical data is systematically explored. It is shown that the person score of the first dimension of classical optimal scaling correlates strongly with the latent variable for the two-parameter item response theory (IRT) model. Next, under the assumption that the latent variable has a standard normal distribution, it is derived how the IRT item parameters are related to the optimal category weights.

Key Words: classical optimal scaling • two-parameter IRT model

Applied Psychological Measurement, Vol. 31, No. 2, 106-120 (2007)
DOI: 10.1177/0146621605287912


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