Estimating and testing mediation and moderation in within-subject designs
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Updated: Aug 6, 2026

Problem-Solving Before Instruction (PS-I): A Protocol for Assessment and Intervention in Students with Different Abilities
Published on: September 11, 2021
C M Judd1, D A Kenny, G H McClelland
1Department of Psychology, University of Colorado at Boulder, Colorado 80309-0345, USA. charles.judd@colorado.edu
Abstract:
Analyses designed to detect mediation and moderation of treatment effects are increasingly prevalent in research in psychology. The mediation question concerns the processes that produce a treatment effect. The moderation question concerns factors that affect the magnitude of that effect. Although analytic procedures have been reasonably well worked out in the case in which the treatment varies between participants, no systematic procedures for examining mediation and moderation have been developed in the case in which the treatment varies within participants. The authors present an analytic approach to these issues using ordinary least squares estimation.
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