A researcher was interested in studying how lower class, middle-class, and upper-class adolescents differed in their perceptions of the degree to which they controlled their destiny and in their...

A researcher was interested in studying how lower class, middle-class, and upper-class adolescents differed in their perceptions of the degree to which they controlled their destiny and in their career aspirations. The researcher administered a measure of locus of control and a measure of career aspirations to samples from the three pop ulations. The data (illustrative) follow, where higher scores indicate greater feelings of control and higher career aspirations.

(a) Do a canonical analysis in which one set of variables consists of the measures of locus of control and career aspirations and the other set consists of coded vectors representing group membership.

(b) Do a discriminant analysis of the same data. Plot the centroids.

(c) Do a MANOVA of the same data. Interpret and compare the results obtained under (a)-(c).