In order to build a coherent body of work to inform evidence-based decision making, there is a need to increase the visibility and value of reproducibility and replication studies among education research stakeholders. The purpose of this companion to the "Common Guidelines" is to highlight the importance of these studies and provide crossagency guidance on the steps investigators are encouraged to take to promote corroboration, ensure the integrity of education research, and extend the evidence base. The companion begins with a brief overview of the central role of replication in the advancement of science, including definitions of key terminology for the purpose of establishing a common understanding of the concepts. The companion also addresses the challenges and implications of planning and conducting reproducibility and replication studies within education. [For "Common Guidelines for Education Research and Development," see ED544215.]