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Measurement invariance, selection invariance, and fair selection revisited.

Remco Heesen1, Jan-Willem Romeijn2

  • 1Department of Philosophy, School of Humanities, University of Western Australia.

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This study corrects and generalizes previous findings, showing that psychometric insights are applicable beyond psychological testing. These broader applications enhance our understanding of measurement in various scientific fields.

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Area of Science:

  • Measurement theory
  • Psychometrics
  • Generalizability theory

Background:

  • Borsboom et al. (2008) presented foundational results.
  • Heesen and Romeijn (2019) provided a basis for further development.
  • Existing frameworks may have limited scope.

Purpose of the Study:

  • To provide a corrective to prior work by Borsboom et al. (2008).
  • To generalize existing psychometric results.
  • To demonstrate the broader relevance of psychometrics.

Main Methods:

  • Theoretical analysis and mathematical generalization.
  • Building upon the work of Heesen and Romeijn (2019).
  • Comparative analysis of existing psychometric models.

Main Results:

  • A refined understanding of measurement principles.
  • Demonstration of psychometric applicability outside psychology.
  • Correction and extension of established psychometric theorems.

Conclusions:

  • Psychometric principles offer valuable insights for diverse scientific disciplines.
  • The generalization expands the utility of psychometric theory.
  • Further research can explore specific applications in non-psychological fields.