I think you're just talking about replication. Peer review is the process where authors submit a manuscript and receive feedback from reviewers about the merits of their paper and how to strengthen it.

This was published in the Journal of Personality and Social Psychology, an APA Journal. You can find their peer review process here (under "The Peer Review Process"): http://www.apa.org/pubs/authors/new-author-guide.aspx