Assessing Evidence for Replication: A Likelihood-Based Approach
How to evaluate replications is a fundamental issue in experimental methodology. We develop a likelihood-based approach to assessing evidence for replication. In this approach, the design of the original study is used to derive an estimate of a theoretically interesting effect size.A likelihood ratio is then calculated to contrast the match of two models to the data from the replication attempt: 1) A model based on the derived theoretically interesting effect size; and 2) a null model. This approach provides new insights not available with existing methods of assessingreplication. When applied to data from the Replication Project (Open Science Collaboration, 2015), the procedure indicates that a large portion of the replications failed to find evidence for a theoretically interesting effect.