Evaluating the Equal-Interval Hypothesis with Test Score Scales |
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Authors: | Ben Domingue |
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Institution: | 1. Institute of Behavioral Science, University of Colorado Boulder, Boulder, CO, USA
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Abstract: | The axioms of additive conjoint measurement provide a means of testing the hypothesis that testing data can be placed onto a scale with equal-interval properties. However, the axioms are difficult to verify given that item responses may be subject to measurement error. A Bayesian method exists for imposing order restrictions from additive conjoint measurement while estimating the probability of a correct response. In this study an improved version of that methodology is evaluated via simulation. The approach is then applied to data from a reading assessment intentionally designed to support an equal-interval scaling. |
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