A factor analysis of the original Stanford-Binet scale

From the original Stanford-Binet scale, those items passed by between 10 and 90 per cent of a group of ten-year-old children were analyzed by the centroid method. Upon rotation, there appeared a common factor, for which two explanatory hypotheses are offered, the more tenable being that it is an effect of maturation. Primary factors tentatively identified are Number, Space, Imagery, Verbal Relations and Induction. A sixth factor apparently involves a reasoning ability and a seventh can not be interpreted.The writer is indebted to Dr. L. L. Thurstone for his interest and assistance throughout this study and to Dr. Andrew W. Brown, who made possible the collection of data at the Institute for Juvenile Research, Chicago, Illinois.     

A factor analysis of certain neurotic symptoms

In an attempt to investigate the concept of neurotic tendency thirty-nine of the forty-two most discriminative items in the Thurstone Neurotic Inventory were administered as a questionnaire to a group of five hundred male college students. An analysis of the table of intercorrelations by Thurstone's centroid method showed that eight factors were sufficient to account for the observed intercorrelations with negligible residuals. The eight centroid factors were then transformed into a simple structure. It is concluded that a single trait of neurotic tendency cannot be postulated and tentative hypotheses are formed as to the nature of the primary traits revealed by the analysis.Readministering the same test to the same students a week later showed a high consistency of response both on the test as a whole, and on the individual items.     

An analysis of random and systematic changes with practice

Six motor tests and six nonverbal tests were administered four times to the same subjects. Subjective reports of the subjects are discussed, changes in mean scores and in variability and score correlations from trial to trial are surveyed, and factor analyses of results on the first and fourth trials are presented and compared. Implications of the findings with respect to correction for attenuation are pointed out.Thanks are due to Mr. Searles and his staff at the Henry Ford Trade School, who gave both suggestions and aid in completing this work; to Dr. L. L. Thurstone, who gave suggestions for certain aspects of the analysis; and to L. R. Tucker and Robert Blakey, who made the final factorial analyses and suggested various conclusions.     

The dimensions of temperament

The correlations among the thirteen personality scores yielded by the Guilford schedule for factors STDCR, and the Guilford-Martin schedules for factors GAMIN, and O, Ag, and Co, as reported by Lovell, were factored by the centroid method. The purpose was to see how many factors were represented by the thirteen scores; therefore the test reliabilities were used in the diagonal cells. It was found that the scores represent not more than nine linearly independent factors. The orthogonal factor matrix was rotated to oblique simple structure. Seven of the oblique factors were given tentative interpretation. Two factors were regarded as residual factors because of the small variance which they represent. The seven factors have been named Active, Vigorous, Impulsive, Dominant, Stable, Sociable, and Reflective.This study was supported in part by a research grant from Sears Roebuck and Company. The writer wishes to acknowledge in particular the interest and assistance of Mr. J. C. Worthy of the National Personnel Department at Sears Roebuck and Company. The writer also wishes to acknowledge the assistance of Mr. James Degan who was responsible for the computing in this study.     

Application of the quartimax method of rotation to Thurstone's primary mental abilities study

This study compares a quartimax rotation of the centroid factor loadings for Thurstone's Primary Mental Abilities Test Battery with factorings of the same correlation matrix by Thurstone (simple structure), Zimmerman (revised simple structure), Holzinger and Harman (bi-factor analysis), and Eysenck (group factor analysis). The quartimax results agree very closely with the solutions of Holzinger and Harman and of Eysenck, and reasonably well with the two simple structure analyses. The principal difference is the general factor provided by the quartimax solution. Reproduction of the factorial structure is sufficiently good to justify its use at least as the first stage of rotation. More extensive trial of the method will be needed with more varied data before it will be possible to decide whether quartimax factors meet psychological requirements sufficiently well without further rotation.We wish to thank Professor L. G. Henyey and the University of California Computer Center for making the IBM 701 electronic computer available for this study, and the National Science Foundation for its support of the work of the Computer Center. Professor H. F. Kaiser of the University of Illinois has made helpful criticisms of the paper, and Mr. Louis S. Davis of the University of California has assisted with preparation of the tables. The research was supported in part by the United States Air Force under Contract No. AF 33 (038)-25726 monitored by the Air Force Personnel and Training Research Center. Permission is granted for reproduction, translation, publication, use and disposal in whole and in part by or for the United States Government.A 701 program for calculation of the quartimax and varimax loadings, prepared by Professor H. F. Kaiser, is available in the library of computer programs held by the Computer Center at the University of California (Program No. 464). Mr. J. O. Neuhaus and Mr. K. W. Dickman have prepared a quartimax program for Illiac at the University of Illinois. This Illiac program will be usable on three other computers recently built or under construction: Mistic (Michigan State University), Silliac (University of Sydney), and the machine being constructed by Iowa State College.     

A factor analysis of women's measurements taken for garment and pattern construction

In order to facilitate garment and pattern construction, a research which involved taking a minimum of fifty-five measurements on several thousand women was conducted by the Bureau of Home Economics. Partial correlations with age held constant were computed for a representative group of 4,128 of the women. The correlations among twenty-nine of these variables served as the basis of the present study. By a combination of the multiple-group and the centroid method of factoring, five factors were extracted. After twenty-nine rotations, simple structure was evident, and the factors were interpreted as bone length, size of joints, circumference below the waist, circumference of extremities, and circumference above the waist. The intercorrelations of the primaries were computed, and two second-order factors were extracted. One of these seems to be primarily related to the growth of fatty tissue and the other to the development of the bones.The author wishes to express her appreciation to Professor L. L. Thurstone and to the members of the Psychometric Laboratory Staff for advice relative to this study.     

Eye movements across viewpoint changes in multiple object tracking

Observers can visually track multiple objects that move independently even if the scene containing the moving objects is rotated in a smooth way. Abrupt scene rotations yield tracking more difficult but not impossible. For nonrotated, stable dynamic displays, the strategy of looking at the targets' centroid has been shown to be of importance for visual tracking. But which factors determine successful visual tracking in a nonstable dynamic display? We report two eye tracking experiments that present evidence for centroid looking. Across abrupt viewpoint changes, gaze on the centroid is more stable than gaze on targets indicating a process of realigning targets as a group. Further, we show that the relative importance of centroid looking increases with object speed.     

All for one or some for all? Evaluating informative hypotheses using multiple <Emphasis Type="Italic">N</Emphasis> = 1 studies

Analyses are mostly executed at the population level, whereas in many applications the interest is on the individual level instead of the population level. In this paper, multiple N =?1 experiments are considered, where participants perform multiple trials with a dichotomous outcome in various conditions. Expectations with respect to the performance of participants can be translated into so-called informative hypotheses. These hypotheses can be evaluated for each participant separately using Bayes factors. A Bayes factor expresses the relative evidence for two hypotheses based on the data of one individual. This paper proposes to “average” these individual Bayes factors in the gP-BF, the average relative evidence. The gP-BF can be used to determine whether one hypothesis is preferred over another for all individuals under investigation. This measure provides insight into whether the relative preference of a hypothesis from a pre-defined set is homogeneous over individuals. Two additional measures are proposed to support the interpretation of the gP-BF: the evidence rate (ER), the proportion of individual Bayes factors that support the same hypothesis as the gP-BF, and the stability rate (SR), the proportion of individual Bayes factors that express a stronger support than the gP-BF. These three statistics can be used to determine the relative support in the data for the informative hypotheses entertained. Software is available that can be used to execute the approach proposed in this paper and to determine the sensitivity of the outcomes with respect to the number of participants and within condition replications.     

The role of audition and motion in the spatial orientation of the blind and the sighted

Abstract.— Five hypotheses concerning the effect of various factors on the spatial orientation of the blind and the sighted are presented. The role of audition, motion, interruption of performance and the use of a support aid are studied. Four of the hypotheses were confirmed.     

On the sampling errors of factor loadings

The results of three empirical studies on the sampling fluctuation of centroid factor loadings are reported. The first study is based on data which happened to be available on 8 variables for 700 cases and which were factored to three factors for subsamples. The second study is based on fictitious data for 2500 cases which provided separate analyses on 25 samples for each of three situations: 5 variables, one factor; 5 variables, two factors; and 6 variables, three factors. The third study, based on real data for 9 variables and 7000 cases, involves separate factorization for 35 samples of 200 cases. The three studies agree in showing that the sampling behavior of first centroid factor loadings is much like that of correlation coefficients, whereas the sampling fluctuations for loadings beyond the first are disturbingly large.     

The estimation of the parameters of a negative binomial distribution with special reference to psychological data

As an analytical tool the negative binomial distribution may have wide applications in the psychological field. The estimation of its parameters is demonstrated to be often inefficient when fitting by the method of moments. This causes possibly true hypotheses to be rejected. Formulas for the efficiency of the moment method and solution of the likelihood equations are derived. Efficiency graphs and detailed tables for the function reduce the maximum-likelihood method to a minimum of computational labour. Practical applications of the ease and power of the M.L. procedure are given.The author wishes to express his gratitude to the South African Council for Scientific and Industrial Research for permission to publish this paper; to Mr. A. G. Arbous for supplying the data on absenteeism; to Mr. R. V. Sutton for the data on Two-hand Co-ordination errors; and last, but not least, to the staff of the Statistical Section who computed various tables under the expert guidance of Mr. J. S. Maritz.     

Higher-Order Structure-Of-Intellect Abilities

Using data available from the published reports of factor analyses performed by the Aptitudes Research Project at the University of Southern California, investigations were made into the possibility of demonstrating higher-order factorial abilities latent in those data. Since the policy in those analyses had been to rotate axes orthogonally rather than obliquely, there was no direct information regarding intercorrelations among first-order or basic factors. By combining salient tests for each basic factor, and using their loadings on the obtained factors, correlations were estimated among representatives of those factors. Several methods were devised for factoranalyzing those intercorrelations, applying experimental controls that seemed to be needed, in view of the three-faceted nature of each basic ability. Evidence was found for a large number of second-order abilities and a smaller number of third-order factors, connected with many parts of the structure-of-intellect model, within the limits of available data. In general, the results provide excellent support for the model and for its oblique nature, and for relative discriminability of its categories. Implications for higher-order factorial procedures, for the testing of intelligence, for research, both bivariate and multivariate, and for general psychological theory are suggested.     

A revised orthogonal rotational solution for Thurstone's original primary mental abilities test battery

By extension of the rotational process, meaningful orthogonally related positions were found for all of the thirteen centroid factors which Thurstone extracted from his original PMA intercorrelations. Most of the original primary ability factors were more sharply delineated and corresponded more closely to the Army Air Force factors that bear similar names (demonstrating greater invariance from analysis to analysis). While such different results obtained by two investigators applying the same methods on the same data may initiate some concern, the results strengthen rather than weaken the idea that more psychological meaningfulness and greater invariance will result if centroid axes are rotated, using the concepts of a simple structure and positive manifold.Thurstone considered loadings between ±.20 as negligible and considered only loadings of at least .40 in naming factors.     

The difficulty of understanding a borderline patient

SUMMARY

For much of the time during my work with Mr A, a borderline patient whom I saw for twice-weekly psychotherapy over a period of one year. I had difficulty understanding and communicating with him. I felt despairing and impotent and that therapy was not progressing at all. A few weeks prior to termination a shift occurred and I realised that there had been some improvement in Mr A's functioning. Although I was aware that behind the polite façade was an angry, disturbed man, I felt that he was a little more in touch with reality than he had been at the beginning of the treatment.

In this paper I will focus on the factors that contributed to my difficulty in understanding and communicating with Mr A. I will also attempt to account for his apparent improvement.     

A factorial study of fluency in writing

A factorial study of fluency was undertaken to test an hypothesis that at least two fluency abilities would be measured by a battery composed both of word fluency tests used by Thurstone and tests of fluency described by several British investigators. Twenty-eight tests, including ten reference tests for five primary mental abilities, were administered to 181 high-school seniors. Ten centroid factors were extracted, a simple structure was found, and eight factors were interpreted. Five factors defined were the following reference abilities: memory (M), number (N), reasoning (R), verbal comprehension (V), and perceptual speed (P), the last one being somewhat tentatively identified. The main finding is the analysis of fluency into two factors: word fluency (W) and ideational fluency (F). Word fluency is defined as a facility in producing single, isolated words that contain one or more formal restrictions, without reference to the meaning of the words. Ideational fluency is described as a facility in expressing ideas by the use of words and their meanings. Another verbal ability indicated is tentatively interpreted as verbal versatility, the ability to express essentially the same idea by means of several different words or combinations of words.The writer wishes to express his appreciation to Dr. L. L. Thurstone for his guidance throughout the study and for providing facilities and materials needed; to Miss Jessie LaSalle and the Washington, D. C., high schools for providing the subjects; to Ledyard Tucker, Frank Medland, and Mrs. Virginia Brown for computational assistance; and to others who gave aid during the study.     

SOCIOBIOLOGY, GOD, AND UNDERSTANDING

Abstract. This article presents the rationale of a new approach to the debate between sociobiology and religion. In it, I outline a sociobiology that may generate alternative and competing hypotheses about the existence of gods as beings (theisms) and the nature of their participation in the universe. I examine the central theoretical issues of this sociobiology and discuss the strengths and weaknesses of a sociobiological approach to theological issues, including problems pertinent to nontheistic theologies. A concluding case is made for an enriched and revitalized agenda in the dialogue between sociobiology and religion. While consistent with current research on gene-culture coevolution, the article's treatment expands on earlier work to begin incorporating theoretical terms that carry a more direct theological impact.     

A Likely Explanation: IBE as a Guide to Better (but not more probable) Hypotheses

Abstract

Several friends of inference to best explanation have claimed in recent work that explanatory virtues, such as consilience, simplicity and increased precision, play an important heuristic role in assigning probabilities to available hypotheses and that it is this role that justifies continued efforts to investigate the scope, nature and epistemic value of the inference rule. In this paper I argue that understanding explanatory virtues as a guide to probability assignments creates a critical dilemma for advocates of IBE that has not previously been made sufficiently explicit and which has significant implications for the prospects of the rule. I conclude that the viability of IBE requires that explanatory virtues be related to a non-probabilistic conception of success.     

Citoyenneté, engagement,satisfaction et implication en contexte organisationnel

This research was made to examine the relative contribution of several predictors (foci of commitment, job involvement, job satisfaction) on organizational citizenship behaviours using a sample of 138 French engineers. Confirmatory factor analysis on citizenship behaviours reveal four factors: altruism, helping others, civic virtue and sportsmanship. Empirical data supports both of the hypotheses. In one hand, psychological variable contribute to the variance of several forms of citizenship behaviour. In other hand, form of citizenship behaviour was influenced by few psychological variables. Theoretical and practical implications of this research are discussed.     

A factorial study of the multiphasic,strong, kuder,and bell inventories using a population of adult males

In a centroid factor analysis of the Multiphasic, Strong, Kuder, and Bell inventories using a population of 400 adult males, eight common factors dealing with aspects of personality as measured by these instruments were isolated. Seven of the factors were meaningful and one was a residual. This study indicates little overlap between the two personality and the two interest inventories. It would appear that factors found in these instruments measuring aspects of personality are dichotomous in nature and are not common to the two types of instruments included in this study. That is, two of the factors were common to the two personality inventories, and five of the factors were common to the two interest inventories.Abstract of dissertation submitted at Syracuse University, January, 1949, in partial fulfillment of requirements for the degree of Doctor of Education.