Measurement invariance, selection invariance, and fair selection revisited

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.