Further considerations of a general d′ in multidimensional space

Thomas (Psychonom. Bull. Rev. 6 (1999) 224) proposed a generalization of d′,d_g′ for multidimensional distributions and demonstrated that it is not equivalent to Euclidean distance as had been assumed in some previous studies. In this note, it is further shown not to be a metric in the general sense as it fails the triangle inequality. Also, a rigorous proof is offered of the claim (found in Thomas, Psychonom. Bull. Rev. 6 (1999) 224) that in order for the definition of d_g′ to correspond to the quantity that is estimated from data in the traditional way (using hits and false alarms) one must assume a distance classifier (proved in the case of equal covariance matrices). If one assumes optimal responding instead, then the estimated d′ corresponds to (the square root of) Mahalanobis distance. This latter observation clears up an apparent paradox between the fact that d_g′ is not a metric and Ashby and Perrin's (Psychol. Rev. 95 (1988) 124) statement relating the weighted Euclidean scaling model and a signal detection model of similarity that would yield a distance classifier.     

Toward a multidimensional definition of sportsmanship

Abstract

One major problem with research conducted on sportsmanship is the absence of an accepted definition. The purpose of this study was to attempt to derive a definition of sportsmanship by applying premises from social psychological theories and research. A major assumption of this perspective is that sportsmanship meanings and labels attached to given behaviors are learned through interpersonal interactions with various sport participants and that eventually a consensual agreement develops regarding the nature of sportsmanship. It thus follows that a meaningful definition of sportsmanship should be obtained through the athletes themselves. In this study, 1056 male and female athletes completed a questionnaire which contained various items pertaining to sportsmanship. Results from a factor analysis revealed the presence of 5 factors corresponding to the respect and concern for: a) one's full commitment toward sport participation, b) the rules and officials. c) social conventions, d) the opponent, as well as e) a negative approach toward sport participation. Implications of this multidimensional definition for future sportsmanship research are drawn.     

Analyzing aphasia data in a multidimensional symptom space

The utility of single-case vs. group studies has been debated in neuropsychology for many years. The purpose of the present study is to illustrate an alternative approach to group studies of aphasia, in which the same symptom dimensions that are commonly used to assign patients to classical taxonomies (fluency, naming, repetition, and comprehension) are used as independent and continuous predictors in a multivariate design, without assigning patients to syndromes. One hundred twenty-six Italian-speaking patients with aphasia were first classified into seven classic aphasia categories, based on fluency, naming, auditory comprehension, and repetition scales. There were two goals: (1) compare group analyses based on aphasia types with multivariate analyses that sidestep classification and treat aphasic symptoms as continuous variables; (2) present correlation-based outlier analyses that can be used to identify individuals who occupy unusual positions in the multivariate "symptom space." In the service of the first goal, group performance on an external validation measure (the Token Test) was assessed in three steps: analyses of variance based on aphasia type, regressions using the same cut-offs for fluency, naming, comprehension and repetition as independent but dichotomous predictors, and regressions using the same subscales as continuous predictors (with no cut-offs). More variance in Token Test performance was accounted for when symptoms were treated as continuous predictors than with the other two methods, though use of independent but dichotomous predictors accounted for more variance than aphasia taxonomies. Thus, if we by-pass classical taxonomies and treat patients as points in a multidimensional symptom space, better predictions are obtained. Outlier analyses show that group results depend on heterogeneity among patients, which can be used as a search tool to identify potentially interesting dissociations. Hence this multivariate group approach is complementary to and compatible with single-case methods.     

Assessing the multidimensional and hierarchical structure of SERVQUAL

Parasuraman, Zeithaml, and Berry introduced SERVQUAL in 1998 as a scale to measure service quality. Since then, researchers have proposed several variations. This study examines the development of the tool. Marketing researchers have first challenged the conceptualization of a perceptions-expectations gap and have concluded that the performance-based measures are adequate to capture consumers' perception of service quality. Some researchers have argued that the five dimensions of the SERVQUAL scale only focus on the process of service delivery and have extended the SERVQUAL scale into six dimensions by including the service outcome dimension. Others have proposed that service quality is a multilevel construct and should be measured accordingly. From a sample of 467 undergraduate students data on service quality toward up-scale restaurants were collected. Using the structural equation approach, two measurement models of service quality were compared, the extended SERVQUAL model and the restructured multilevel SERVQUAL model. Analysis suggested that the latter model fits the data better than the extended one.     

From theory to implementation: Building a multidimensional space for face recognition

The purpose of the present study was to empirically construct a multidimensional model of face space based upon Valentine’s [Valentine, T. (1991). A unified account of the effects of distinctiveness, inversion, and race in face recognition. Quarterly Journal of Experimental Psychology, 43A, 161-204; Valentine, T. (2001). Face-space models of face recognition. In M. J. Wenger, & J. T. Townsend, (Eds.). Computational, geometric, and process perspectives on facial cognition: Contexts and challenges. Scientific psychology series (pp. 83-113). Mahwah, NJ: Erlbaum] metaphoric model. Two-hundred and ten participants ranked 200 faces on a 21-dimensional space composed of internal facial features. On the basis of these dimensions an index of distance from the center of the dimensional space was calculated. A factor analysis revealed six factors which highlighted the importance of both featural and holistic processes in face recognition. Testing the model in relation to facial distinctiveness and face recognition strengthened its validity by emphasizing the relevance of the constructed multidimensional space for face recognition. The data are discussed within the framework of theoretical models of face recognition.     

Language and space: some interactions

Is language linked to mental representations of space? There are several reasons to think that language and space might be separated in our cognitive systems, but they nevertheless interact in important ways. These interactions are evident in language viewed as a means of communication and in language considered a form of representation. In communication, spatial factors may be explicit in language itself, such as the spatial-gestural system of American Sign Language. Even the act of conversing with others is a spatial behavior because we orient to the locations of other participants. Language and spatial representations probably converge at an abstract level of concepts and simple spatial schemas.     

Escher in color space: Individual-differences multidimensional scaling of color dissimilarities collected with a gestalt formation task

The structure of color perception can be examined by collectingjudgments about color dissimilarities. In the procedure used here, stimuli are presented three at a time on a computer monitor and the spontaneous grouping of most-similar stimuli into gestalts provides the dissimilarity comparisons. Analysis with multidimensional scaling allows such judgments to be pooled from a number of observers without obscuring the variations among them. The anomalous perceptions of color-deficient observers produce comparisons that are represented well by a geometric model of compressed individual color spaces, with different forms of deficiency distinguished by different directions of compression. The geometrical model is also capable of accommodating the normal spectrum of variation, so that there is greater variation in compression parameters between tests on normal subjects than in those between repeated tests on individual subjects. The method is sufficiently sensitive and the variations sufficiently large that they are not obscured by the use of a range of monitors, even under somewhat loosely controlled conditions.     

Individual differences in perceptual space for tactile textures: evidence from multidimensional scaling

Ratio scaling was used to obtain from 5 subjects estimates of the subjective dissimilarity between the members of all possible pairs of 17 tactile surfaces. The stimuli were a diverse array of everyday surfaces, such as corduroy, sandpaper, and synthetic fur. The results were analyzed using the multidimensional scaling (MDS) program ALSCAL. There was substantial, but not complete, agreement across subjects in the spatial arrangement of perceived textures. Scree plots and multivariate analysis suggested that, for some subjects, a two-dimensional space was the optimal MDS solution, whereas for other subjects, a three-dimensional space was indicated. Subsequent to their dissimilarity scaling, subjects rated each stimulus on each of five adjective scales. Consistent with earlier research, two of these (rough/smooth and soft/hard) were robustly related to the space for all subjects. A third scale, sticky/slippery, was more variably related to the dissimilarity data: regressed into three-dimensional MDS space, it was angled steeply into the third dimension only for subjects whose scree plots favored a nonplanar solution. We conclude that the sticky/slippery dimension is perceptually weighted less than the rough/smooth and soft/hard dimensions, materially contributing to the structure of perceptual space only in some individuals.     

A multidimensional phenomenal space for pain: structure,primitiveness, and utility

Phenomenology and the Cognitive Sciences - Pain is often used as the paradigmatic example of a phenomenal kind with a phenomenal quality common and unique to its instantiations. Philosophers have...     

Jerusalem: The problems and responsibilities of sacred space

Focusing on the central role the city of Jerusalem plays in Christianity, Judaism and Islam, this paper addresses the question of what makes particular cities 'holy' and sacred to people, the meaning and responsibilities that this 'sacredness' entails and whether this 'sacredness' in fact affects the conduct of politicians when determining the fate of a sacred city such as Jerusalem. Answers to these questions are found deep in the human psyche, in what historians of religion have called a 'sacred geography' and in the sense of exile from a holy place that makes it that much more precious to the people attached to it.     

Escher in color space: individual-differences multidimensional scaling of color dissimilarities collected with a gestalt formation task.

The structure of color perception can be examined by collecting judgments about color dissimilarities. In the procedure used here, stimuli are presented three at a time on a computer monitor and the spontaneous grouping of most-similar stimuli into gestalts provides the dissimilarity comparisons. Analysis with multidimensional scaling allows such judgments to be pooled from a number of observers without obscuring the variations among them. The anomalous perceptions of color-deficient observers produce comparisons that are represented well by a geometric model of compressed individual color spaces, with different forms of deficiency distinguished by different directions of compression. The geometrical model is also capable of accommodating the normal spectrum of variation, so that there is greater variation in compression parameters between tests on normal subjects than in those between repeated tests on individual subjects. The method is sufficiently sensitive and the variations sufficiently large that they are not obscured by the use of a range of monitors, even under somewhat loosely controlled conditions.     

Monotone mapping of similarities into a general metric space

A method of “maximum variance nondimensional scaling” is described and tested that transforms similarity measures into distances that meet just three conditions: (C1) they exactly satisfy the metric axioms, (C2) they are, as nearly as possible, monotonically related to the similarity measures, (C3) they have maximum variance possible under the two preceding conditions. By achieving an appropriate balance between the last two conditions, one can determine the true underlying distances and the form of the unknown monotone function relating the similarity measures to those distances without assuming that the underlying space has any particular Euclidean, Minkowskian, or even dimensional strucutre. The method appears to have potential applications, e.g., to studies of stimulus generalization and the structure and processing of semantic information.     

MCMC estimation and some model-fit analysis of multidimensional IRT models

A Bayesian procedure to estimate the three-parameter normal ogive model and a generalization of the procedure to a model with multidimensional ability parameters are presented. The procedure is a generalization of a procedure by Albert (1992) for estimating the two-parameter normal ogive model. The procedure supports analyzing data from multiple populations and incomplete designs. It is shown that restrictions can be imposed on the factor matrix for testing specific hypotheses about the ability structure. The technique is illustrated using simulated and real data. The authors would like to thank Norman Verhelst for his valuable comments and ACT, CITO group and SweSAT for the use of their data.     

Behavioral history: A definition and some common findings from two areas of research

Behavioral history research includes studies that (a) permit assessment of a prior experimental condition on a subsequent one, (b) show either short-lived or permanent effects, and (c) produce effects that are observable in ongoing behavior or that may be unobservable until special test conditions are introduced. We review experiments within both the conventional experimental analysis of behavior and behavioral pharmacology in order to identify commonalities and differences in the outcomes of conceptually similar experiments. We suggest that a deeper understanding of the necessary and sufficient conditions for producing history effects will emerge from these complementary research efforts.     

Assessing emotion sensitivity in female offenders with borderline personality symptoms: results from a fear-potentiated startle paradigm

An instructed fear-conditioning paradigm was used to measure fear-potentiated startle (FPS) in a sample of 80 Caucasian, female offenders assessed using the Personality Assessment Inventory-Borderline Features Scale (Morey, 1991). As predicted, women with higher levels of Borderline Personality Disorder (BPD) symptoms showed significantly greater FPS than women with lower levels when required to focus attention on the threat-relevant dimension of the experimental stimuli. However, FPS was not greater for women with higher levels of BPD symptoms in the two conditions that required participants to direct attention away from the threat-relevant dimension. These results highlight the importance of attention for moderating the association between BPD symptoms and exaggerated responses to threat-relevant information and may, therefore, help to resolve the inconsistent evidence on emotional reactivity in BPD. Moreover, the potential importance of attentional factors in BPD may shed new light on prominent symptoms of the disorder and existing theoretical perspectives on BPD.     

Epistemological development in adolescence and adulthood: a multidimensional framework

Theories of epistemological development are reviewed. A framework describing variations in adolescents' and adults' intuitive conceptions of knowledge is proposed. Within the proposed framework, naive epistemologies are conceptualized in terms of their assumptions concerning (a) the nature of the knowledge acquisition process, (b) the degree of correspondence between knowledge and reality, (c) the certainty of knowledge, (d) the commensurability of knowledge across individuals, (e) the degree to which knowledge forms or inheres in a coherent system of thought, (f) the nature of meaning, (g) the appropriate procedures for evaluating competing beliefs, (h) the nature and role of authorities as sources of knowledge and justification, and (i) the nature of reality. This framework is used to describe possible developmental changes in adolescents' and adults' concepts of knowledge and to suggest how future researchers might address core issues concerning epistemological development.