Translating the Statistical Representation of the Effects of Education Interventions Into More Readily Interpretable Forms - November 2012

Oct 15, 2026

A November 2012 report prepared for the National Center for Special Education Research explains how to translate statistical representations of education intervention effects into more readily interpretable formats for practitioners, policymakers, and researchers. It outlines key limitations in misleading characterizations of effect magnitudes and presents descriptive approaches, including configuring initial statistics, covariate adjustments, and identifying appropriate effect-size metrics. It details representations in original score metrics, standard scores, grade equivalents, and methods to assess practical significance through multiple benchmarking strategies, plus cost, cost-effectiveness, and cost-benefit analyses.

LanguageEnglish

CategoryResearch & Report

FormatPDF

Pages54

Reading Time2 h 16 min

AccessFree to download

Introduction

Organization and Key Themes

Inappropriate and Misleading Characterizations of the Magnitude of Intervention Effects

Representing Effects Descriptively

Configuring the Initial Statistics that Describe an Intervention Effect to Support Alternative Descriptive Representations

Covariate Adjustments to the Means on the Outcome Variable

Identifying or Obtaining Appropriate Effect Size Statistics

Descriptive Representations of Intervention Effects

Representation in Terms of the Original Metric

Standard Scores and Normal Curve Equivalents (NCE)

Grade Equivalent Scores

Assessing the Practical Significance of Intervention Effects

Benchmarking Against Normative Expectations for Academic Growth

Benchmarking Against Policy-Relevant Performance Gaps

Benchmarking Against Differences Among Students

Benchmarking Against Differences Among Schools

Benchmarking Against the Observed Effect Sizes for Similar Interventions

Benchmarking Effects Relative to Cost

Calculating Total Cost

Cost-effectiveness

Cost-benefit

References

Translating the Statistical Representation of the Effects of Education Interventions Into More Readily Interpretable Forms NOVEMBER 2012 Mark W. Lipsey, Kelly Puzio, Cathy Yun, Michael A. Hebert, Kasia Steinka-Fry, MikelW. Cole, Megan Roberts, Karen S. Anthony, and Matthew D. Busick NCSER 2013-3000 U.S. DEPARTMENT OF EDUCATION Page intentionally left blank. Translating the Statistical Representation of the Effects of Education Interventions Into More Readily Interpretable Forms NOVEMBER 2012 Mark W. Lipsey Peabody Research Institute Vanderbilt University Kelly Puzio Department of Teaching and Learning Washington State University Cathy Yun Vanderbilt University Michael A. Hebert Department of Special Education and Communication Disorders University of Nebraska-Lincoln Kasia Steinka-Fry Peabody Research Institute Vanderbilt University MikelW. Cole Eugene T. Moore School of Education Clemson University Megan Roberts Hearing & Speech Sciences Department Vanderbilt University Karen S. Anthony Vanderbilt University and Matthew D. Busick Vanderbilt University NCSER 2013-3000 U.S. DEPARTMENT OF EDUCATION This report was prepared for the National Center for Special Education Research, Institute of Education Sciences under Contract ED-IES-09-C-0021 . Disclaimer The Institute of Education Sciences (IES) at the U.S. Department of Education contracted with Command Decisions Systems & Solutions to develop a report that assists with the translation of effect size statistics into more readily interpretable forms for practitioners, policymakers, and researchers. The views expressed in this report are those of the author and they do not necessarily represent the opinions and positions ofthe Institute of Education Sciences or the U.S. Department of Education. U.S. Department of Education Arne Duncan, Secretary Institute of Education Sciences John Q. Easton, Director National Center for Special Education Research Deborah Speece, Commissioner November 2012 This report is in the public domain. While permission to reprint this publication is not necessary, the citation should be: Lipsey, M.W., Puzio, K., Yun, C., Hebert, M.A., Steinka-Fry, K., Cole, M.W., Roberts, M., Anthony, K.S., Busick, M.D. (2012). Translating the Statistical Representation of the Effects of Education Interventions into More Readily Interpretable Forms. (NCSER 2013-3000). Washington, DC: National Center for Special Education Research, Institute of Education Sciences, U.S. Department of Education. This report is available on the IES website at [http://ies.ed.gov/ncser](http://ies.ed.gov/ncser/)[/](http://ies.ed.gov/ncser/). Alternate Formats Upon request, this report is available in alternate formats such as Braille, large print, audiotape, or computer diskette. For more information, please contact the Department’s Alternate Format Center at 202-260-9895 or 202-205-8113 . Disclosure of Potential Conflicts of Interest There are nine authors for this report with whom IES contracted to develop the discussion of the issues presented. Mark W. Lipsey, Cathy Yun, Kasia Steinka-Fry, Megan Roberts, Karen S. Anthony, and Matthew D. Busick are employees or graduate students at Vanderbilt University; Kelly Puzio is an employee at Washington State University; Michael A. Hebert is an employee at University of Nebraska-Lincoln; and Mikel W. Cole is an employee at Clemson University. The authors do not have financial interests that could be affected by the content in this report. Contents [List of Tables .................................................................... vi](List of Tables .................................................................... vi) [List of Figures .................................................................](List of Figures .................................................................). vii Introduction ..........................................................

FAQs

What is the report’s purpose regarding education intervention effects?

The report explains how to translate effect size statistics into more readily interpretable descriptive forms for education stakeholders.

What problems does the report address about interpreting intervention effect magnitudes?

It discusses inappropriate and misleading characterizations of the magnitude of intervention effects.

How does the report recommend assessing practical significance?

It proposes benchmarking intervention effects against normative expectations, policy-relevant performance gaps, differences among students and schools, observed effects for similar interventions, and effects relative to cost.

Oct 15, 2026

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