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Single-case effect size calculation: comparing regression and non-parametric approaches across previously published

Sarah G Ross1, John C Begeny1

  • 1North Carolina State University, Raleigh, NC, USA.

Journal of School Psychology
|August 10, 2014
PubMed
Summary

This study compared two single-case effect size methods, Allison-MT and Tau-U, for analyzing educational interventions. While the regression-based Allison-MT yielded larger effect sizes, both methods showed similar intervention effect rankings.

Keywords:
Effect sizeOral reading fluencyProgress monitoringSingle-case designSingle-subject designSmall-N design

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Area of Science:

  • Education
  • Psychology
  • Applied Behavior Analysis

Background:

  • Increasing demand for accountability and evidence-based practices in education.
  • Need for standardized methods in single-case design (SCD) analysis.
  • Effect sizes are crucial for interpreting treatment magnitude in SCDs.

Purpose of the Study:

  • Compare the Allison-MT (regression-based) and Tau-U (non-parametric) effect size methods for SCDs.
  • Examine differences in effect size scores and intervention rankings between the two methods.
  • Provide guidance for selecting appropriate effect size measures in educational research.

Main Methods:

  • Utilized previously published SCD research data measuring Words read Correct per Minute (WCPM).
  • Calculated effect sizes using both the Allison-MT and Tau-U methods.
  • Compared the magnitude of effect sizes and the rank order of intervention effects.

Main Results:

  • The Allison-MT method produced significantly larger effect sizes compared to the Tau-U method.
  • Despite differences in magnitude, the rankings of effect sizes between the two methods showed a strong positive correlation.
  • Both methods offer valuable insights into intervention effectiveness.

Conclusions:

  • The choice of effect size method can influence the reported magnitude of intervention effects.
  • The strong correlation in rankings suggests both methods can identify similar patterns of intervention effectiveness.
  • Findings inform the selection and application of effect size measures in single-case research for improved accountability and practice.