  The author constructed a spectral sequence strongly converging to h_*(Omega^n
Sigma^n X) for any homology theory in [Topology 33 (1994) 631-662]. In this
note, we prove that the E^1-term of the spectral sequence is isomorphic to the
cobar construction, and hence the spectral sequence is isomorphic to the
classical cobar-type Eilenberg-Moore spectral sequence based on the geometric
cobar construction from the E^1-term. Similar arguments can be also applied to
its variants constructed in [Contemp Math 293 (2002) 299-329].
