On a connection between factor analysis and multidimensional unfolding

Given the preference ordering of each of a number of individuals over a set of stimuli, it is proposed that if the preference orderings are generated in a Euclidean space ofr dimensions which can be recovered by unfolding the preference orderings, then a factor analysis of the correlations between individual's preference orderings will yield a space ofr + 1 dimensions with the originalr-space embedded in it, and the additional dimension will be one of social utility. The proposition is clearly shown to be satisfied by means of the Monte Carlo technique for both random and lattice stimuli in three dimensions and for two other examples with random stimuli in one and two dimensions.The preparation of this paper was supported in part by a grant from the National Science Foundation and in part by Project MICHIGAN, a project of the University of Michigan in the field of Combat Surveillance sponsored by the Department of the Army. The contract (DA-36-039 ac 78801) is administered by the U. S. Army Signal Corps. The authors are indebted to L. A. Raphael, Caroline K. Tefft, and F. M. Goode for programming assistance, and to L. W. Staugas for providing other computer services during various stages of this study.     

New essays on old philosophers

In an article in Mind (Vol. 73, No. 291, July 1964) I tried to show that there is a fundamental difference between primary and secondary qualities. The present analysis of perceived size of an object and its relation to the size of the ‘objective’ and the ‘real’ object reveals that my thesis 1 regarding visual primary qualities, viz. size and shape, while true so far as shape is concerned, has to be modified in regard to size. After having criticized the usual view of size constancy, I show by means of a diagram how we may determine the location in physical space of a percept of an object. This diagram reveals at the same time how perceived size decreases gradually with increasing distance of the object from the percipient, but at a much smaller rate than the retinal image of the object. By means of the diagram I show furthermore how the perceived size may in theory vary from person to person. In conclusion a modification of my thesis 1 is suggested.     

The IQ: A Reply

Approach vs. be approached behavioral measures of personal space were taken on 102 fifth and sixth grade children, each of whom was assigned to one of three groups: (a) Model-Close condition, (b) Model Far condition, and (c) No-Model Control group. A male peer served as model (M), and a 41-year-old female served as the object person. Results revealed a strong modeling tendency with both girls and boys tending to stay close or far from the object person as a function of M behavior. Boys and girls tended to behave similarly in the Close and Far modeling groups, but girls used more space in the No-Model Control condition. These findings suggest that modeling had an attenuating effect on sex differences in use of space. It was concluded that modeling theory is a viable conceptual tool for use in personal space research.     

Proxemics,locus of control,anxiety, and type of movement in emotionally disturbed and normal boys

In order to determine the interpersonal distancing requirements for emotionally disturbed and normal children and in order to investigate the relationship of locus of control and anxiety to interpersonal space, 20 emotionally disturbed and 20 normal boys were randomly required to approach an object person and to let the object person approach them until they felt uncomfortable. Results indicated that emotionally disturbed boys required more space than normals; that subjects would approach closer than they would allow the object person to approach them; and that externals required more space than internals. There were no significant differences between high and low anxious subjects, nor between emotionally disturbed children diagnostically classified as overanxious reaction and those with other diagnosis. Finally, neither anxiety nor locus of control explained the significant normal—emotionally disturbed differences in space requirements. Theoretical and practical implications were discussed as well as the relationship between the present and previous research.     

Location representation in enclosed spaces: What types of information afford young children an advantage?

It has been suggested that young children can only reorient, locating a target object, when the geometry of an enclosed space provides distinctive shape information [e.g., Hermer, L., & Spelke, E. (1994). A geometric process for spatial reorientation in young children. Nature, 370, 57-59]. Recently, however, young children were shown to specify location in a square-shaped space, where geometry is uninformative, so long as scale-like information was available on the walls of the space [Huttenlocher, J., & Lourenco, S. F. (2007a). Coding location in enclosed spaces: Is geometry the principle? Developmental Science, 10, 741-746]. Here we build on this work by examining more closely what types of cues afford 18- to 24-month-olds an advantage in locating a target object following disorientation. Their performance was assessed when linear scale-like information was presented either in isolation or in composite form. It was found that, even in isolation, young children searched at the appropriate locations, with added benefit when presented as a composite. We suggest that linear scale-like dimensions, especially when available in composite form, play a critical role in supporting location representation in young children.     

Multiple rectilinear prediction and the resolution into components

It is assumed that a battery ofn tests has been resolved into components in a common factor space ofr dimensions and a unique factor space of at mostn dimensions, wherer is much less thann. Simplified formulas for ordinary multiple and partial correlation of tests are derived directly in terms of the components. The best (in the sense of least squares) linear regression equations for predicting factor scores from test scores are derived also in terms of the components. Spearman's single factor prediction formulas emerge as special cases. The last part of the paper shows how the communality is an upper bound for multiple correlation. A necessary and sufficient condition is established for the square of the multiple correlation coefficient of testj on the remainingn—1 tests to approach the communality of testj as a limit asn increases indefinitely whiler remains constant. Limits are established for partial correlation and regression coefficients and for the prediction of factor scores.I am indebted to Professor Dunham Jackson for helpful criticism of most of this paper.     

Factor Analytic Modeling of Within Person Variation in Score Profiles

A profile is a vector of scores for one examinee. The mean score in the vector can be interpreted as a measure of overall profile height, the variance can be interpreted as a measure of within person variation, and the ipsatized vector of score deviations about the mean can be said to describe the pattern in the score profile. A within person pattern interpretation of orthogonal factor loadings is developed. A statistic is proposed to index the amount of within person variation accounted for by an orthogonal factor. The statistic can be used to determine whether a factor warrants a within person pattern interpretation. A factor model with a random coefficient intercept is proposed for the study of within person score patterns accounting for within person variation. Two examples, one involving items from the Life Orientation Test and the other involving subscales of the Strong Vocational Interest Inventory, illustrate application of the factor model with an intercept, the within person variation statistic, and the profile pattern interpretation of factor loadings. With empirical support from the examples, it is conjectured that theoretically important traits often manifest themselves through within person score patterns.     

Attunement and Affordance Learning in Infants

ABSTRACT

From a perceptual learning perspective, infants use social information (like gaze direction) in a similar way as other information in our physical environment (like object movements) to specify action possibilities. In the current study, we assumed that infants are able to learn an affordance upon observing an adult failing to act out that affordance, without appreciating object-directed intentions, or, communicative intent towards the infant. Using a variation of the Re-enactment procedure, we found that when the attention of infants (N = 46, M_age = 20 months) was drawn towards the eyes of the person before she acted out the failed attempt, either by ostensive cues or non-ostensive cues, infants achieved more affordances than when their attention was not directed towards the eyes. As directing the attention of infants to the eyes of another person frequently results in gaze following, this suggests that infants use the gaze direction of another person in order to learn what affordance that other person is trying to realize. In addition, the results of a spatiotemporal analysis on the eye-movements of infants suggest that the gaze and the object movements of the person facilitate learning by directing the attention of infants towards important object-directed actions on crucial moments during the failed attempt demonstrations. These results are discussed in terms of perceptual attunement and affordance learning.     

Girls in detail,boys in shape: Gender differences when drawing cubes in depth

The current study tested gender differences in the developmental transition from drawing cubes in two‐ versus three dimensions (3D), and investigated the underlying spatial abilities. Six‐ to nine‐year‐old children (N = 97) drew two occluding model cubes and solved several other spatial tasks. Girls more often unfolded the various sides of the cubes into a layout, also called diagrammatic cube drawing (object design detail). In girls, the best predictor for drawing the cubes was Mental Rotation Test (MRT) accuracy. In contrast, boys were more likely to preserve the optical appearance of the cube array. Their drawing in 3D was best predicted by MRT reaction time and the Embedded Figures Test (EFT). This confirmed boys' stronger focus on the contours of an object silhouette (object shape). It is discussed whether the two gender‐specific approaches to drawing in three dimensions reflect two sides of the appearance–reality distinction in drawing, that is graphic syntax of object design features versus visual perception of projective space.     

Multicomponent latent trait models for ability tests

A major research direction for ability measurement has been to identify the information-processes that are involved in solving test items through mathematical modeling of item difficulty. However, this research has had limited impact on ability measurement, since person parameters are not included in the process models. The current paper presents some multicomponent latent trait models for reproducing test performance from both item and person parameters on processing components. Components are identified from item subtasks, in which performance is a logistic function (i.e., Rasch model) of person and item parameters, and then are combined according to a mathematical model of processing on the composite item.The author would like to thank David Thissen for his invaluable insights concerning this model and an anonymous reviewer for his suggestion about the sample space for the model.This research was partially supported by National Institute of Education grant number NIE-6-7-0156 to Susan E. Whitely, principal investigator. However the opinions expressed herein do not necessarily reflect the position or policy of the National Institute of Education, and no official endorsement by the National Institute of Education should be referred. Part of this paper was presented at the annual meeting of thePsychometric Society, Monterey, California: June, 1979.     

Deranging the Mental Lexicon

This paper offers a defense of Davidson’s conclusion in ‘A Nice Derangement of Epitaphs’, focusing on the psychology and epistemology of language. Drawing on empirical studies in language acquisition and sociolinguistics, I problematize the traditional idealizing assumption that a person’s mental lexicon consists of two distinct parts—a dictionary, comprising her knowledge of word meanings proper, and an encyclopedia, comprising her wider knowledge of worldly affairs. I argue that the breakdown of the dictionary–encyclopedia distinction can be given a cognitive and functional explanation: facts regarding language learning and the challenges of coping with linguistically diverse environments require that dictionary and encyclopedia remain deeply integrated rather than categorically distinct dimensions of the mental lexicon. This argument provides support for a psychologized version of Davidson’s conclusion in ‘Derangement’: there is no such thing as a language, in the sense that there is no diachronically stable and uniquely specifiable object that could constitute the language which a person knows. I then apply this conclusion to the question of whether the concept of a public language—understood as a more or less stable body of conventions shared by a group of speakers—could nonetheless retain an important explanatory role in philosophy of language and linguistics.     

The Importance of Written,Verbal, and Nonverbal Communication Factors in Employment Interview Decisions

This study explored dimensions of influential factors in employment interviewing from the recruiter's (N = 423) perspective in hiring new college graduates for an entry-level position. A factor analysis of 28 communication items was conducted. Study results suggest that there are six dimensions of influential communication factors in employment interviews.     

The relation between hierarchical and euclidean models for psychological distances

In one well-known model for psychological distances, objects such as stimuli are placed in a hierarchy of clusters like a phylogenetic tree; in another common model, objects are represented as points in a multidimensional Euclidean space. These models are shown theoretically to be mutually exclusive and exhaustive in the following sense. The distances among a set ofn objects will be strictly monotonically related either to the distances in a hierarchical clustering system, or else to the distances in a Euclidean space of less thann — 1 dimensions, but not to both. Consequently, a lower bound on the number of Euclidean dimensions necessary to represent a set of objects is one less than the size of the largest subset of objects whose distances satisfy the ultrametric inequality, which characterizes the hierarchical model.This work was supported in part by Grant GB-13588X from the National Science Foundation. I would like to thank L. M. Kelly and A. A. J. Marley for their helpful comments and suggestions.     

Gaze cuing and affective judgments of objects: I like what you look at

When we see another person look somewhere, we automatically attend to the same location in space. Thisjoint attention emerges early in life and has a great impact on social interactions in development and in everyday adult life. The direction of another’s gaze indicates what object is of current interest, which may be the target for a subsequent action. In this study, we found that objects that are looked at by other people are liked more than objects that do not receive the attention of other people (Experiment 1). This suggests that observing averted gaze can have an impact on the affective appraisals of objects in the environment. This liking effect was absent when an arrow was used to cue attention (Experiment 2). This underlines the importance of other people’s interactions with objects for generating our own impressions of such stimuli in the world.     

An inductive exploration of the social effectiveness construct space

ABSTRACT There is no agreement regarding the nature or number of dimensions that make up the social effectiveness domain. We inductively explore the relationships between a set of social effectiveness measures with the intention of identifying an initial set of dimensions. An exploratory factor analysis of the Social Competence Inventory (SCI, Schneider, 2001 ) resulted in the identification of four factors: Social Potency, Social Appropriateness, Social Emotional Expression, and Social Reputation. A joint factor analysis between the SCI and a set of extant measures resulted in the identification of the same four factors. A fifth factor emerged when a set of scales from an emotional intelligence measure was included in the analysis, suggesting that emotional intelligence is not captured within the common factor space defined by measures of social effectiveness. This study represents a first step in the establishment of a set of common social effectiveness dimensions.     

婴儿指示性手势与其语言学习的关系

指示性手势是指明空间中某个物体、处所或事件的手部动作,在婴儿1岁时出现,与婴儿的语言学习存在着较强的相关,然而目前尚不清楚为什么会存在此相关。可能存在两种内在机制:(1)指示性手势影响婴儿的学习环境——引发了适时的语言输入;(2)影响学习者本身——帮助婴儿创造有效的学习状态并示意给他人。未来的研究需要探讨这两种机制如何交互作用,以及如何将指示性手势作为诊断或干预工具,用于识别和帮助有语言障碍风险的个体。     

Cognition in moral space: A minimal model

We describe moral cognition as a process occurring in a distinctive cognitive space, wherein moral relationships are defined along several morally relevant dimensions. After identifying candidate dimensions, we show how moral judgments can emerge in this space directly from object perception, without any appeal to moral rules or abstract values. Our reductive “minimal model” (Batterman & Rice, 2014) elaborates Beal’s (2020) claim that moral cognition is determined, at the most basic level, by “ontological frames” defining subjects, objects, and the proper relation between them. We expand this claim into a set of formal hypotheses that predict moral judgments based on how objects are “framed” in the relevant dimensions of “moral space.”     

Person‐factors in the California Adult Q‐Set: closing the door on personality trait types?

To investigate recent hypotheses of replicable personality types, we examined data from 1540 self‐sorts on the California Adult Q‐Set (CAQ). Conventional factor analysis of the items showed the expected Five‐Factor Model (FFM). Inverse factor analysis across random subsamples showed that none of the previously reported person‐factors were replicated. Only two factors were replicable, and, most importantly, these factors were contaminated by mean level differences in item endorsement. Results were not due to sample size or age heterogeneity. Subsequent inverse factor analysis of standardized items revealed at least three replicable factors; when five person‐factors were extracted, they could be aligned precisely with the dimensions of the FFM. The major factors of person similarity can be accounted for entirely in terms of the FFM, consistent with the hypothesis that there are no replicable personality types in the CAQ. Published in 2006 John Wiley & Sons, Ltd.