How to Test Replication for Structural Equation Models

This paper introduces the prior predictive p-value as a manner to test replication in structural equation models. Using the replication of a piecewise latent growth model as a running example, the study explains the steps of the prior predictive p-value and illustrates them with R-code. The R-code included in the paper and the Supplementary R-script guides the reader through each analysis step. All steps to compute the prior predictive p-value are also incorporated in the Replication R-package. Finally, the study demonstrates how the replication of a more advanced structural equation model - a multilevel latent growth curve model - can be tested.