Stroud (1953) obtains the following correlation matrix for p = 14 body measurements of soldier termites (Table 6.17).
(a) Carry out a maximum likelihood factor analysis using the correlation matrix of Table 6.17. How many common factors are retained using (i) likelihood ratio chi-squared test, (ii) Akaike's criterion, and (iii) Schwartz's criterion. What do you conclude?
(b) Rotate thc common factor loadings using (i) orthogonal rotation and (ii) oblique rotation. Do they aid analysis of the data? (Sce also Hopkins, 1966 and Sprcnt, 1972)