  We compare the glueball mass spectrum of an effective N=1 pure super
Yang-Mills theory formulated in terms of a three-form supermultiplet with the
available lattice data. These confirm the presence of four scalars and two
Majorana fermions but the detailed mass spectrum is difficult to reconcile with
the effective supersymmetric theory. By imposing supersymmetry and using two of
four bosonic masses we get a prediction for the remaining masses as well as the
mixing angles. We find that the mass of the three-form dominates over the
contribution of the Veneziano-Yankielowicz-Dijkgraaf-Vafa term. As a byproduct
we introduce a Fayet-Iliopoulos term for the three-form multiplet and show that
it generates a glueball condensate.
