Procrustes matching by congruence coefficients

Matching by Procrustes methods involves the transformation of one matrix to match with another. A special least squares criterion, the congruence coefficient, has advantages as a criterion for some factor analytic interpretations. A Procrustes method maximizing the congruence coefficient is given. This solution is identical to Mosier's [1939] approximate solution, but is an exact solution for maximum congruence.     

Teachers and parents as researchers using multiple baseline designs

Two teachers and a parent used three basic multiple baseline designs to investigate the effects of systematic reinforcement and punishment procedures in the classroom and at home. (1) A fifth-grade teacher concurrently measured the same behavior (tardiness) in three stimulus situations (after morning, noon, and afternoon recesses). Posting the names of pupils on a chart titled "Today's Patriots" was made contingent on being on time after the noon recess, then successively also the morning and afternoon recesses. Tardiness was reduced to near zero rates at the points where contingencies were applied. (2) A highschool teacher recorded the same behavior (daily French-quiz grades) of three students. She then successively applied the same consequences (staying after school for individual tutoring for D and F grades) for each student. At the points where the contingency was applied, D and F grades were eliminated. (3) A mother concurrently measured three different behaviors (clarinet practice, Campfire project work, reading) of her 10-yr-old daughter. She successively applied the same contingency (going to bed early) for less than 30 min spent engaged in one after another of the behaviors. Marked increases in the behaviors were observed at the points where the contingency was applied.     

Adolescent patterns of communication about sexually related topics

For this investigation, a sample survey of 179 black females, representing 53 family units, provided data for examining familial patterns in the amounts of information received about the menstrual cycle, sex, and contraception among adolescent daughters, mothers, and grandmothers, and the major source of information about these three topic areas. Significant relationships were found within the triads in the amount of information received about the three topic areas, suggesting familial patterns in the amount of information transmitted intergenerationally. This sample was more likely to report mothers as the source of information, suggesting their importance as formal agents of sexual socialization. Although this sample received large amounts of information about the menstrual cycle, sex, and contraception from their mothers, much information that is necessary for sexual health and informed decision making was neglected. The very young mean age (12.3 years) at first intercourse and the low proportion (24.2%) of teenagers using a method of birth control at first intercourse suggested that intergenerational communication about sex and contraception may not be meeting adolescents' needs. Consequently, attention should be focused not only on mothers as agents of sexual socialization of teenagers, but also the quality and impact of that information on the sexual health of teenagers.     

Lunchroom noise control using feedback and group contingent reinforcement

Reduction of noise levels in an elementary school lunchroom was examined as a function of feedback and feedback plus reinforcement using group contingency procedures. Feedback consisted of signals from a traffic light, with green indicating acceptable levels, yellow indicating levels approaching undesirable, and red indicating unacceptable levels. Other behaviors, including running, hitting, pushing, and kicking, were measured incidentally. Results indicate that feedback plus reinforcement was effective in reducing noise levels. Feedback only was also effective, but to a lesser degree. No response-response relationship was found to exist between noise level and the other behaviors.     

Relations of factor score estimates to their use

Considerations of factor score estimates have concentrated on internal characteristics. This report considers external characteristics of four methods for determining factor score estimates; that is, relations of these estimates to measures on attributes not entered into the factor analysis. These external characteristics are important for many uses of factor score estimates. Findings are that different ones of the methods are appropriate for different uses.Supported in part by the Personnel and Training Branch of the Office of Naval Research under contract number 00014-67-A-0305-0003.     

An individual differences model for multidimensional scaling

A quantitative system is presented to permit the determination of separate multidimensional perceptual spaces for individuals having different viewpoints about stimulus interrelationships. The structure of individual differences in the perception of stimulus relationships is also determined to provide a framework for ascertaining the varieties of consistent individual viewpoints and their relationships with other variables.This research was supported in part by the National Institute of Mental Health, United States Public Health Service, under Research Grants M-2878 and M-4186 to Educational Testing Service, in part by Educational Testing Service, and in part by the Office of Naval Research under Contract Nonr-1834(39) and the University of Illinois. The authors wish to thank Drs. Harold Gulliksen and Douglas N. Jackson for their helpful comments and Miss Henrietta Gallagher for supervising the computations. Portions of this paper were presented at the American Psychological Association meetings in Chicago, September 1960.This paper was written while Dr. Messick was a Fellow at the Center for Advanced Study in the Behavioral Sciences.     

A method for finding the inverse of a matrix

The problem of solving simultaneous linear equations is one that frequently confronts the scientist. Whenever it is desired to state the parameters as expressions of the constant terms of these equations, the problem resolves itself into the discovery of the inverse of the matrix of coefficients. The method here described gives a routine for the solution of this problem.