to verbal intelligence and which corresponds to mathematical intelligence, or whether the factors are linear combinations of both, without an outside argument.

The data vectors have unit length. The entries of the correlation matrix for the data are given by . The correlation matrix can be geometrically interpreted as the cosine of the angle between the two data vectors and . The diagonal elements will clearly be s and the off diagonal elements will have absolute values less than or equal to unity. The "reduced correlation matrix" is