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A Comparison of Threshold-Free Measures for Assessing the Effectiveness of Educational Interventions

Einbeck, Jochen; Coolen-Maturi, Tahani; Uwimpuhwe, Germaine; Singh, Akansha

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Abstract

The effectiveness of educational interventions has traditionally been evaluated using effect size measures which focus on a single feature of the distribution of the outcomes under intervention and control conditions: a (standardized) mean difference. Recently there has been increased interest in methods which assess the information contained in the full distributions of outcomes under intervention and control, providing measures of separation from these distributions which do not depend on arbitrary cutoffs, hence which are “threshold-free”. We investigate the statistical relationship between several concepts of this type, and discuss how they can be used to estimate alternative effect size metrics as well as their uncertainties in the context of multilevel models as commonly used for the analysis of educational data. A specific aim of this paper is to investigate how the recently proposed “gain index” relates to other measures of separation including the Area under the Curve (AUC) and the overlapping index. A simulation study, using data with an educationally motivated structure, is presented to compare the different methodologies.

Citation

Einbeck, J., Coolen-Maturi, T., Uwimpuhwe, G., & Singh, A. (online). A Comparison of Threshold-Free Measures for Assessing the Effectiveness of Educational Interventions. The Journal of Experimental Education, https://doi.org/10.1080/00220973.2024.2405738

Journal Article Type Article
Acceptance Date Sep 13, 2024
Online Publication Date Sep 24, 2024
Deposit Date Oct 10, 2024
Publicly Available Date Oct 10, 2024
Journal The Journal of Experimental Education
Print ISSN 0022-0973
Electronic ISSN 1940-0683
Publisher Taylor and Francis Group
Peer Reviewed Peer Reviewed
DOI https://doi.org/10.1080/00220973.2024.2405738
Public URL https://durham-repository.worktribe.com/output/2953384

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