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Using Group Differences in True Score Relationships to Evaluate Measurement Bias.

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This study introduces a new linear model for measurement bias, distinct from predictive bias models. It highlights how ignoring differences can lead to incorrect conclusions about test bias, particularly in college admissions and employment testing.

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errors-in-variables modelfairnessmeasurement biaspredictive biasregression toward the mean

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Area of Science:

  • Psychometrics
  • Educational Measurement
  • Statistical Modeling

Background:

  • Measurement bias and predictive bias are critical in standardized testing.
  • Existing models like the Cleary model primarily address predictive bias.
  • Understanding these biases is essential for fair assessment in admissions and employment.

Purpose of the Study:

  • To develop a novel linear model for assessing measurement bias using Errors-in-Variables (EIV) regression.
  • To differentiate measurement bias from predictive bias, especially when true-score means differ between groups.
  • To re-examine empirical findings on test bias in college admissions and employment contexts.

Main Methods:

  • Development of a linear Errors-in-Variables (EIV) regression model for measurement bias.
  • Comparative analysis of measurement bias and predictive bias under varying true-score means.
  • Re-evaluation of existing empirical data on test performance prediction for minority groups.

Main Results:

  • The proposed EIV model offers a new approach to measurement bias assessment.
  • Ignoring the distinction between measurement and predictive bias can lead to misinterpretations due to regression toward the mean.
  • Empirical findings on over-prediction for minorities are consistent with significant measurement bias against them.

Conclusions:

  • The study provides a refined framework for understanding and quantifying measurement bias.
  • It underscores the importance of distinguishing between measurement and predictive bias for accurate test evaluation.
  • Results suggest that observed over-prediction in minority groups may stem from inherent measurement bias rather than solely predictive issues.