Mixed-Effects Location Scale Models for Joint Modeling School Value-Added Effects on the Mean and Variance of Student Achievement

  • 0University of Bristol.
Journal of Educational and Behavioral Statistics : a Quarterly Publication Sponsored by the American Educational Research Association and the American Statistical Association +

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Summary

This summary is machine-generated.

New school value-added models analyze achievement variability, not just average scores. This helps identify schools with unusually high or low student learning spread, improving accountability.

Area Of Science

  • Educational Measurement and Statistics
  • Quantitative Educational Research

Background

  • School value-added models (VAMs) are standard for evaluating school performance based on student learning gains.
  • Traditional VAMs use mixed-effects models to estimate average student achievement, controlling for prior achievement and background factors.
  • These models provide a 'school value-added score' representing mean student achievement differences.

Purpose Of The Study

  • To extend traditional school value-added models by analyzing the variance of student achievement within schools.
  • To identify schools with unusually high or low variability in student achievement, beyond average performance.
  • To offer new insights for school accountability systems and educational research.

Main Methods

  • Fitting mixed-effects location scale models.
  • Extending traditional mixed-effects linear regression VAMs to simultaneously model the mean and variance of student achievement.
  • Analyzing student achievement data to estimate both central tendency and dispersion at the school level.

Main Results

  • The proposed method allows for the estimation and study of school-specific achievement variance.
  • Identified schools exhibiting statistically significant high or low variability in student achievement, independent of average VAM scores.
  • Demonstrated the feasibility of applying location-scale models to VAMs for richer school performance analysis.

Conclusions

  • Analyzing achievement variance in addition to the mean provides a more comprehensive understanding of school effectiveness.
  • This approach can identify schools with distinct achievement patterns (e.g., high consistency vs. high variability).
  • Findings have significant implications for refining school accountability metrics and guiding educational interventions.

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