This study is worth considering just because it calls Facebook a “nonymous online environment.”
Isn’t that a great word? Sherri Grasmuck, a Temple University sociologist, analyzed the contents of 63 Facebook accounts, and found ” that the identities produced in this nonymous environment differ from those constructed in the anonymous online environments previously reported.”
“Facebook users predominantly claim their identities implicitly rather than explicitly; they “show rather than tell” and stress group and consumer identities over personally narrated ones.”
Enough said.
ZHAO, S., GRASMUCK, S., & MARTIN, J. (2008). Identity construction on Facebook: Digital empowerment in anchored relationships Computers in Human Behavior, 24 (5), 1816-1836 DOI: 10.1016/j.chb.2008.02.012
Paul Statt Communications 
My ideological approach to linguistics is definitely descriptive, but that word made my inner prescriptivist wince. The Greek prefix “a-“, as in “agnostic” or “apathy”, turns into “an-” before a vowel, as in “anisotropy” or “anaerobic”. My knowledge of Greek is rather limited, but the word “anonymous” is certainly based on “onyma”, a variant of “onoma”, so the unnegated back-formation would be “ONYMOUS” rather than “nonymous”.
Great catch! I think we’re mixing Latin and Greek none too wisely here. I will pass along your observation to the researcher. Thanks.