Q. How do I APA reference a paper written by a student?
The best answer here is in Section 6.20 of the APA Manual, dealing with Personal Communication. Any citation in the list of references at the end of your paper is to direct readers to locate your source. A paper written by a student you know, presumably, hasn’t been published and is not retrievable by your readers.
This would make it fall in the category of a personal communication, where you only need to give the proper attribution in the text of your paper. APA directs you to
“Give the initials as well as the surname of the communicator, and provide as exact a date as possible:
T.K. Lutes (personal communication, April 18, 2001)”
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