The Collaborative International Dictionary of English v.0.48:

Psychanalysis \Psy`cha*nal"y*sis\, n. [Psycho- + analysis.]
   same as psychoanalysis; -- an older term now obsolete. --
   Psy*chan`a*lyt"ic, a. -- Psy`cha*nal"y*sist, n.
   [Webster 1913 Suppl.]