Psychometric Analysis of Numerical Reasoning Subtest Using the Rasch Model

Authors

  • Marcos Cupani Consejo Nacional de Investigaciones Científicas y Técnicas
  • Franco D. Cortez Consejo Nacional de Investigaciones Científicas y Técnicas

Abstract

The aim of this study was to evaluate the psychometric properties of numerical reasoning subtest of the Differential Aptitude Test applying the Rasch model. This test was administered to a sample of 1,484 adolescents of both sexes, aged between 12 and 17 years old (M = 14.00; SD = 1.38). The unidimensionality of the instrument, adjustment of items to the model, separation rates and reliability for persons and items, item functioning differential (DIF), and the specific objective were evaluated. Of the 40 items, 38 showed an adequate fit to the model. The fitting analysis of people reflects that 92% of the response patterns were fitted to the model. Separation rates item (18.20), item reliability (1.00), and the values of individual separation (1.95) and reliability person (0.79) were satisfactory. Two items showed a differential behavior by sex. The results are satisfactory and help to clarify how this psychometric model allows parameters to ensure that persons and items are expressed in the same units of measurement respecting the properties of interval.

Keywords:

Rasch model, numerical reasoning, unidimensionality, item functioning differential, specific objective