Development and Refinement of Patient-Reported Outcome Measures for Hearing: A Brief Introduction to Nonparametric Item Response Theory

Purpose The purpose of this report was to demonstrate the value of incorporating nonparametric item response theory in the development and refinement of patient- reported outcome measures for hearing. Conclusions Nonparametric item response theory can be useful in the development and refinement of patient-reported outcome measures for hearing. These methods are particularly useful as an alternative to exploratory factor analysis to determine the number of underlying abilities or traits represented by a scale when the items have ordered-categorical responses.

Item Relational Structure Theory Based on Liu’s Improved Nonparametric IRT Theory

In this paper, an extensional item relational structure theory based on the improved nonparametric item response theory is proposed. Item relational structure theory (Takeya, 1991) was developed to detect item relational structures of a group of subjects. The differences of these structures and experts knowledge structures can provide more information for planning remedial instruction, developing instruction materials, or educational researches. In this study, Lius improved nonparametric item response theory ( Liu, 2000, 2013) without the local independence assumption is used to estimate the joint probability of two items, and construct personal item relational structures. A Mathematics example is also provided in this paper to illustrate the advantages of the proposed method