Factor analysis by minimizing residuals (minres)

This paper is addressed to the classical problem of estimating factor loadings under the condition that the sum of squares of off-diagonal residuals be minimized. Communalities consistent with this criterion are produced as a by-product. The experimental work included several alternative algorithms before a highly efficient method was developed. The final procedure is illustrated with a numerical example. Some relationships of minres to principal-factor analysis and maximum-likelihood factor estimates are discussed, and several unresolved problems are pointed out.The authors wish to thank the Factor Analysis Work Group (supported, in part, by ONR) for valuable criticisms and suggestions made in the course of a discussion of the present work in April, 1965.     

Transitional Adolescents,Anxiety, and Group Counseling

One hundred-eighty college-bound high school seniors were studied to determine whether small group counseling would affect their anxiety level. 60 students comprised the experimental group and 60 students each the 2 control groups. 6 small group counseling sessions were conducted during the spring just prior to high school graduation and 6 more in the fall, following college enrollment. Comparison of anxiety levels was made at the conclusion of each series of counseling sessions. The students of the experimental group showed significantly lower anxiety scores than did those of the control groups, both in the spring and in the fall. The conclusion was drawn that experience in small group counseling was followed by significantly lower levels of anxiety in transitional adolescents.