It is argued that contrary to the claims of Big Five investigators, th
e structure of trait descriptors is still very much an open issue. Thi
s is because their methodology, factor/component analysis paired with
the dimensional interpretation/simple structure (DISS) procedure, does
not investigate the closed topological manifold that constitutes the
'structure' of a set of variables. Instead, radex-related configuratio
ns are likely candidates for the structure of trait descriptors. Some
preliminary support for this claim is given by an analysis of the NEO
Personality Inventory (NEO-PI) (Costa & McCrae, Manual for the NEO PI-
R. Odessa, FL: Psychological Assessment Resources, 1992), a Big Five q
uestionnaire measure, and the Goldberg-40 (Goldberg, Review of Persona
lity and Social Psychology, Vol. 2, pp. 141-165, 1981. Beverly Hills,
CA: Sage), an adjective measure. In particular, the NEO-PI and Goldber
g-40 are shown to have radex structures. A facet theory (Guttman, Psyc
hometrika, 36, 329-346, 1971) rationale is provided for these findings
. (C) 1997 Elsevier Science Ltd.