Four alternative theoretical models of intellectual competence were assessed, using confirmatory factor analysis to account for the correlation patterns derived from Wechsler intelligence tests. It was argued that the difference between the chi-square goodness of fit statistics that are provided when using confirmatory factor analysis gives a measure of discrimination between models and allows the researcher to assess which model best fits the data. It was found that a model based on Luria and Vernon's theories involving simultaneous and successive processing, verbal and spatial abilities, and attention provided the best fit compared to the three competing models. (A number of bibliographic citations are appended.) (Author/MH)