A comparison of four procedures for estimating common factor measurements was made using artificially synthesized "data" matrices. Score estimates were compared with respect to how well they approximated associated true factor scores and the extent of shrinkage in double cross-validation based on random samples. The Horst (1965), Bartlett (1937),…

The formulas which give the standard errors of factor loading estimates while available and computable are complicated, and our understanding of them is limited. A nontechnical description of their behavior under favorable and unfavorable conditions is given. Of particular interest is their behavior in the presence of singularities arising from…

A factor rotation scheme is presented which has a property that is interesting for examining factor-structure hypotheses. Given several clusters of tests the orthogonal bounds scheme produces factors which contain these clusters in some optimal sense. (Author)

Analyses of interscale relations in 235 college students for the Vocational Preference Inventory and Vocational Interest Inventory, based on interest models of Holland and Roe respectively, suggest that the two-dimensional, circular configuration of occupations of personality types may be an oversimplification which impedes the understanding of…

In this paper 12 blind transformation procedures are applied to 18 data sets. The results of the analyses indicate that the orthotran transformation solution is not restricted to particular types of data as are so many other transformation solutions. The evidence presented in this paper strongly suggests that the orthotran solution must be…

Under some circumstances, it is desirable to compare the factor patterns obtained from different factor analyses. To date, the best method of simultaneously achieving simple structure and maximum similarity is the technique devised by Bloxom (1968). This technique simultaneously rotates different factor patterns to maximum similarity and varimax…

A sample of 234 fifth- and 259 sixth-grade students scaled the items of the Piers-Harris, Tennessee, Coopersmith, and Lipsett self-concept measures. The scaling of the Piers-Harris and the Tennessee inventories was examined in reference to their subscales. The present technique placed items on a bivariate plane of two orthogonal dimensions…

A number of methods have been used to identify potentially biased items within a test. These methods examine one item at a time and do not deal with the complex interrelationships among items or among items and the potentially biasing elements. The use of multivariate procedures to assess whether or not items are biased and to obtain clues about…