An analytical solution for approximating simple structure in factor analysis

It is proposed that a satisfactory criterion for an approximation to simple structure is the minimization of the sums of cross-products (across factors) ofsquares of factor loadings. This criterion is completely analytical and yields a unique solution; it requires no plotting, nor any decisions as to the clustering of variables into subgroups. The equations involved appear to be capable only of iterative solution; for more than three or four factors the computations become extremely laborious but may be feasible for high-speed electronic equipment. Either orthogonal or oblique solutions may be achieved. For illustrations, the Johnson-Reynolds study of flow and selection factors and the Thurstone box problem are reanalyzed. The presence of factorially complex tests produces a type of hyperplanar fit which the investigator may desire to adjust by graphical rotations; the smaller the number of such tests, the closer the criterion comes to approximating simple structure.     

DEMOGRAPHIC, PSYCHOLOGICAL, AND RELATIONSHIP FACTORS IN DOMESTIC VIOLENCE DURING PREGNANCY IN A SAMPLE OF LOW-INCOME WOMEN OF COLOR

Research suggests that a significant number of women first experience domestic violence during pregnancy. The current study examines correlates of violence during pregnancy, first by comparing women who did and did not report violence, and second examining three subgroups of women who reported violence (violence initiated, violence persisted, violence ceased). Results indicated that controlling for demographics, more frequent violence was associated with less support and satisfaction with support from the baby's father, more negative interactions with the baby's father, and more verbal aggression in their relationships than those who did not report violence. Differences among subgroups of women reporting violence emerged only for the relationship variables. Implications for detecting violence in clinical settings are discussed.