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LISREL (Joreskog & Sorbom, 1987) was utilized in a confirmatory factor analysis to investigate the validity of J. P. Guilford's Structure-of-Intellect (SOI) model. Three datasets of Guilford's were selected. The datasets were subjected to a series of analyses. Variables were grouped into a number of different models that had the potential to account for the intercorrelations. For the most part, not every dataset was cast into every model. The models included Guilford orthogonal, Guilford oblique, Thurstone oblique, Cattell oblique, g second-order, multiple third level (Guilford), and hierarchical bi-factor. Various criteria were used to assess fit (X$\sp2$, p, GFI, AGFI, NFI, PNFI, RMSR). Support was found for the Guilford oblique, multiple third level, hierarchical bi-factor, and second-order models.