A new rank correlation coefficient with application to the consensus ranking problem

The consensus ranking problem has received much attention in the statistical literature. Given m rankings of n objects the objective is to determine a consensus ranking. The input rankings may contain ties, be incomplete, and may be weighted. Two solution concepts are discussed, the first maximizing the average weighted rank correlation of the solution ranking with the input rankings and the second minimizing the average weighted Kemeny–Snell distance. A new rank correlation coefficient called τ_x is presented which is shown to be the unique rank correlation coefficient which is equivalent to the Kemeny‐Snell distance metric. The new rank correlation coefficient is closely related to Kendall's tau but differs from it in the way ties are handled. It will be demonstrated that Kendall's τ_b is flawed as a measure of agreement between weak orderings and should no longer be used as a rank correlation coefficient. The use of τ_x in the consensus ranking problem provides a more mathematically tractable solution than the Kemeny–Snell distance metric because all the ranking information can be summarized in a single matrix. The methods described in this paper allow analysts to accommodate the fully general consensus ranking problem with weights, ties, and partial inputs. Copyright © 2002 John Wiley & Sons, Ltd.     

A Thurstonian Analysis of Preference Change

This paper presents a Thurstonian model for the analysis of preference change. Preferences are expressed in the form of rankings, possibly with ties. A vector-autoregression framework is used to investigate relationships between past and current rankings. It is shown that this approach yields a parsimonious and easily interpretable representation of individual preference differences in time-dependent ranking data. A detailed analysis of the 1992 National Election Study illustrates the proposed approach.     

Optimizing Prediction of Attrition With the U.S. Army's Assessment of Individual Motivation (AIM)

The regression framework is often the method of choice used by psychologists for predicting organizationally relevant outcomes from test scores. However, alternatives to regression exist, and these techniques may provide better prediction of outcomes and a more effective means of classifying examinees for selection and placement. This research describes two of these alternatives—decision tree methodology and optimal appropriateness measurement (OAM)—and how they were used to optimize the prediction of attrition among a sample of first-term enlisted soldiers (N?=?22,537) using a temperament inventory called the Assessment of Individual Motivation (AIM). Results demonstrated that the OAM approach provided better differentiation between “stayers” and “leavers” after 12 months than either the traditional logistic regression or the decision tree methods.     

INFORMANT ACCURACY IN SOCIAL NETWORK DATA II

This paper repeats and confirms the results of Kill worth and Bernard (1976), concerning informants'ability to report their communication accurately. A variety of self-monitoring, or nearly self-monitoring, networks are used for this study. The conclusion again appears that people do not know, with any accuracy, those with whom they communicate. The expanded experimental design permits a variety of other, related questions to be answered: recall of past communication is not significantly more accurate than prediction of future communication; no one set of data is more accurate than any other; the maintenance of personal logs of communication does not improve accuracy; informants do not know if they are accurate or not; there is no reason to choose either rankings or scalings as a data instrument save for convenience. It is suggested that future research should concentrate both on improving the accuracy of data-gathering instruments and on lessening the reliance of data-processing instruments on precise data.     

The average spearman rank criterion correlation when ties are present

This note presents the average Spearman rank correlation betweenm independent rankings and an untied criterion ranking, corrected for ties in any or all of the independent rankings.     

Recognition and categorization of biologically significant objects by rhesus monkeys (Macaca mulatta): the domain of food.

To survive, organisms must be able to identify edible objects. However, we know relatively little about how humans and other species distinguish food items from non-food items. We tested the abilities of semi-free-ranging rhesus monkeys (Macaca mulatta) to learn rapidly that a novel object was edible, and to generalize their learning to other objects, in a spontaneous choice task. Adult monkeys watched as a human experimenter first pretended to eat one of two novel objects and then placed replicas of the objects at widely separated locations. Monkeys selectively approached the object that the experimenter had previously eaten, exhibiting a rapidly induced preference for the apparently edible object. In further experiments in which the same objects were used as tools or were manipulated at the face but not eaten, we fail to observe an approach bias, providing evidence that the monkeys' pattern of approach in the earlier experiments was specific to objects that were eaten. Subsequent experiments tested how monkeys generalized their preference for an edible object by first allowing them to watch a human experimenter eat one of two objects and then presenting them with new objects composed of the same substance but differing from the original, edible object in shape or color. Monkeys ignored changes in the shape of the object and generalized from one edible object to another on the basis of color in conjunction with other substance properties. Finally, we extended this work to infant rhesus monkeys and found that, like adults, they too used color to generalize to novel food objects. In contrast to adults, however, infants extended this pattern of generalization to objects that were acted on in other ways. These results suggest that infant monkeys form broader object categories than adults, and that food categories become sharpened as a function of maturational or experiential factors.     

Contrasting hippocampal and perirhinal cortex function using immediate early gene imaging.

The perirhinal cortex and hippocampus have close anatomical links, and it might, therefore, be predicted that they have close, interlinked roles in memory. Lesion studies have, however, often failed to support this prediction, providing dissociations and double dissociations between the two regions on tests of object recognition and spatial memory. In a series of rat studies we have compared these two regions using the expression of the immediate early gene c-fos as a marker of neuronal activity. This gene imaging approach makes it possible to assess the relative involvement of different brain regions and avoids many of the limitations of the lesion approach. A very consistent pattern of results was found as the various hippocampal subfields but not the perirhinal cortex show increased c-fos activity following tests of spatial learning. In contrast, the perirhinal cortex but none of the hippocampal subfields show increased c-fos activity when presented with novel rather than familiar visual objects. When novel scenes are created by the spatial rearrangement of familiar objects it is the hippocampus and not the perirhinal cortex that shows c-fos changes. This double dissociation for gene expression accords with that found from lesion studies and highlights the different contributions of the perirhinal cortex and hippocampus to memory.     

Contrasting hippocampal and perirhinalcortex function using immediate early gene imaging

The perirhinal cortex and hippocampus have close anatomical links, and it might, therefore, be predicted that they have close, interlinked roles in memory. Lesion studies have, however, often failed to support this prediction, providing dissociations and double dissociations between the two regions on tests of object recognition and spatial memory. In a series of rat studies we have compared these two regions using the expression of the immediate early gene c-fosas a marker of neuronal activity. This gene imaging approach makes it possible to assess the relative involve-ment of different brain regions and avoids many of the limitations of the lesion approach. A very consistent pattern of results was found as the various hippocampal subfields but not the peri-rhinal cortex show increased c-fosactivity following tests of spatial learning. In contrast, the perirhinal cortex but none of the hippocampal subfields show increased c-fosactivity when presented with novel rather than familiar visual objects. When novel scenes are created by the spatial rearrangement of familiar objects it is the hippocampus and not the perirhinal cortex that shows c-foschanges. This double dissociation for gene expression accords with that found from lesion studies and highlights the different contributions of the perirhinal cortex and hippocampus to memory.     

Eye movements during the production of nouns and pronouns

Earlier research has established that speakers usually fixate the objects they name and that the viewing time for an object depends on the time necessary for object recognition and for the retrieval of its name. In three experiments, speakers produced pronouns and noun phrases to refer to new objects and to objects already known. Speakers looked less frequently and for shorter periods at the objects to be named when they had very recently seen or heard of these objects than when the objects were new. Looking rates were higher and viewing times longer in preparation of noun phrases than in preparation of pronouns. If it is assumed that there is a close relationship between eye gaze and visual attention, these results reveal (1) that speakers allocate less visual attention to given objects than to new ones and (2) that they allocate visual attention both less often and for shorter periods to objects they will refer to by a pronoun than to objects they will name in a full noun phrase. The experiments suggest that linguistic processing benefits, directly or indirectly, from allocation of visual attention to the referent object.     

On the modelling and estimation of attribute rankings with ties in the Thurstonian framework

A Thurstonian type approach is applied to modelling ranking data with ties. It uses a non‐totally differentiable discriminational process instead of the conventional totally differential one to relate the observed rankings and the underlying subjective values. A Monte Carlo expectation–maximization algorithm is proposed to find the maximum likelihood estimates together with the standard errors of the parameters. The approach is examined numerically by means of an artificial example and a simulation study and is applied to a study of attribute assessment.     

New objects can capture attention without a unique luminance transient

Recent evidence has suggested that new objects capture attention solely because they are typically accompanied by a unique luminance transient. In the present study, we presented a stationary pattern mask after an array of placeholders but before a subsequent search display. This allowed all of the search elements to be presented simultaneously, thereby eliminating the unique luminance transient associated with the appearance of any new objects. Under these circumstances, new objects still captured attention. In another experiment, we jiggled the mask. This caused new objects to lose their advantage. We discuss implications for the importance of new objects, and the attentional consequences of motion.     

Psychological reactance and the attractiveness of unobtainable objects: Sex differences in children's responses to an elimination of freedom

This study examined possible sex and age differences in children's perceptions of the attractiveness of unobtainable and obtained objects. Using an experimental paradigm developed by Hammock and J. Brehm (1966), half of the male and female first-grade and sixth-grade subjects were led to expect to choose between two objects; the other half were told they would be given one of two objects, but were not led to expect to choose between these objects. After subjects ranked an array of 10 objects, all subjects were given their third-ranked object and denied their fourth-ranked object. No subject was given any opportunity to indicate a preference or make a choice between these two alternatives. As predicted, subjects' subsequent rankings of the objects differed according to sex. Male subjects behaved in accordance with theoretical predictions based on J. Brehm's theory of psychological reactance and, thus, replicated the results obtained by Hammock and Brehm. The behavior of female subjects did not conform to the reactance theory model. No age differences were predicted and none were obtained. The implications of these results for predicting whether an unobtainable object will become more or less attractive, and for the nature and extent of sex differences in children's responses to the loss of behavioral freedoms, are discussed.     

Determining the Propensity for Academic Dishonesty Using Decision Tree Analysis

This article investigates the propensity for academic dishonesty by university students using the partitioning method of decision tree analysis. A set of prediction rules are presented, and conclusions are drawn. To provide context for the decision tree approach, the partition process is compared with results of more traditional probit regression models. Results of the decision tree analysis complement the probit models in terms of predictive accuracy and confirm results previously found in the literature. In particular, students’ moral character—whether they believe cheating is acceptable—is found to be the most important factor in determining the propensity for academic dishonesty.     

Are there lexicons?

Many models of the processing of printed or spoken words or objects or faces propose that systems of local representations of the forms of such stimuli—lexicons—exist. This is denied by partisans of the distributed-representation connectionist approach to cognitive modelling. An experimental paradigm of key theoretical importance here is lexical decision and its analogue in the domain of objects, object decision. How does each theoretical camp account for our ability to perform these two tasks? The localists say that the tasks are done by matching or failing to match a stimulus to a local representation in a lexicon. Advocates of distributed representations often do not seek to explain these two tasks; however, when they do, they propose that patterns of activation evoked in a semantic system can be used to discriminate between words and nonwords, or between real objects and false objects. Therefore the distributed-representation account of lexical and object decision tasks predicts that performance on these tasks can never be normal in patients with an impaired semantic system, nor in patients who cannot access semantics normally from the stimulus domain being tested. However, numerous such patients have been reported in the literature, indicating that semantic access is not needed for normal performance on these tasks. Such results support the localist form of modelling rather than the distributed-representation approach.     

Generalizing disposability: Residential mobility and the willingness to dissolve social ties

Four studies examined whether residential mobility (RM) leads people to view objects as disposable and, in turn, view social ties as disposable. Study 1 showed that tendencies to dispose of objects and social ties are related. Study 2 demonstrated that a history of RM increases the willingness to dispose of objects and, through that, dispose of social ties. Study 3 showed that increasing the sense of RM increases the willingness to dispose of objects and, through this, dispose of social ties. Study 4 showed that the relational aspect of RM is crucial in affecting relational disposability. Our findings extend research on RM and support Lewin's (1936) conceptualization of mobility being associated with ease of disposing social ties.     

Identification of disoriented objects: effects of context of prior presentation

Half of the subjects in the training phase of Experiment 1 named objects shown in a number of orientations, whereas the other half named objects shown upright only. All subjects named objects seen in a number of different orientations in the transfer phase. Half of the objects in the transfer phase were the ones they had seen in the training phase (old objects), whereas the other half were objects they had not seen before (new objects). Mean naming time in the transfer phase increased more as the objects were rotated further from the upright for new objects than for old objects when the old objects had been seen in a variety of orientations. In contrast, a substantial and equivalent orientation effect on identification time was obtained for old and new objects when the old objects had been seen upright only. These results suggest that the extraction and use of orientation-invariant attributes to identify objects is not a "default" identification strategy employed by the human visual system. In Experiment 2, half of the objects named in the training phase were shown upright only, whereas the other half were shown in a number of orientations. Both types of objects (upright vs. rotated) were presented in a mixed fashion from trial to trial. The results revealed that prior naming of the objects in this context resulted in equivalent reductions in the magnitude of the orientation effect on identification time for both sets of objects (upright and rotated). Together, the results of these two experiments suggest that markedly different representations of objects are encoded, depending on the context in which objects are seen. Implications for models of pattern recognition are discussed.     

Online prediction of others' actions: the contribution of the target object, action context and movement kinematics

Previous research investigated the contributions of target objects, situational context and movement kinematics to action prediction separately. The current study addresses how these three factors combine in the prediction of observed actions. Participants observed an actor whose movements were constrained by the situational context or not, and object-directed or not. After several steps, participants had to indicate how the action would continue. Experiment 1 shows that predictions were most accurate when the action was constrained and object-directed. Experiments 2A and 2B investigated whether these predictions relied more on the presence of a target object or cues in the actor's movement kinematics. The target object was artificially moved to another location or occluded. Results suggest a crucial role for kinematics. In sum, observers predict actions based on target objects and situational constraints, and they exploit subtle movement cues of the observed actor rather than the direct visual information about target objects and context.     

Atypical shape bias and categorization in autism: Evidence from children and computational simulations

The shape bias, a preference for mapping new word labels onto the shape rather than the color or texture of referents, has been postulated as a word‐learning mechanism. Previous research has shown deficits in the shape bias in children with autism even though they acquire sizeable lexicons. While previous explanations have suggested the atypical use of color for label extension in individuals with autism, we hypothesize an atypical mapping of novel labels to novel objects, regardless of the physical properties of the objects. In Experiment 1, we demonstrate this phenomenon in some individuals with autism, but the novelty of objects only partially explains their lack of shape bias. In a second experiment, we present a computational model that provides a developmental account of the shape bias in typically developing children and in those with autism. This model is based on theories of neurological dysfunctions in autism, and it integrates theoretical and empirical findings in the literature of categorization, word learning, and the shape bias. The model replicates the pattern of results of our first experiment and shows how individuals with autism are more likely to categorize experimental objects together on the basis of their novelty. It also provides insights into possible mechanisms by which children with autism learn new words, and why their word referents may be idiosyncratic. Our model highlights a developmental approach to autism that emphasizes deficient representations of categories underlying an impaired shape bias.     

Framing pictures: the role of knowledge in automatized encoding and memory for gist

In general, frame theories are theories about the representation and use of knowledge for pattern recognition. In the present article, the general properties of frame theories are discussed with regard to their implications for psychological processes, and an experiment is presented which tests whether this approach yields viable predictions about the manner in which people comprehend and remember pictures of real-world scenes. Normative ratings were used to construct six target pictures, each of which contained both expected and unexpected objects. Eye movements were then recorded as subjects who anticipated a difficult recognition test viewed the targets for 30 sec each. Then, the subjects were asked to discriminate the target pictures from distractors in which either expected or unexpected objects had been changed. One consequence of the embeddedness of frame systems is that global frames may function as "semantic pattern detectors," so that the perceptual knowledge in them could be used for relatively automatic pattern recognition and comprehension. Thus, subjects might be able to identify expected objects by using automatized encoding procedures that operate on global physical features. In contrast, identification of unexpected objects (i.e., objects not represented in the currently active frame) should generally require more analysis of local visual details. These hypotheses were confirmed with the fixation duration data: First fixations to the unexpected objects were approximately twice as long as first fixations to the expected objects. On the recognition test, subjects generally noticed only the changes that had been made to the unexpected objects, despite the fact that the proportions of correct rejections were made conditional on whether the target objects had been fixated. These data are again consistent with the idea that local visual details of objects represented in the frame are not neccesary for identification and are thus not generally encoded. Further, since subjects usually did not notice when expected objects were deleted or replaced with different expected objects, it was concluded that if two events instantiate the same frame, they may often be indistinguishable, as long as any differences between them are represented as arguments in the frame. Thus, for the most part, the only information about an event that is episodically "tagged" is information which distinguishes that particular event from others of the same general class. The data reinforce the utility of a frame theory approach to perception and memory.     

Do new objects capture attention?

The visual system relies on several heuristics to direct attention to important locations and objects. One of these mechanisms directs attention to sudden changes in the environment. Although a substantial body of research suggests that this capture of attention occurs only for the abrupt appearance of a new perceptual object, more recent evidence shows that some luminance-based transients (e.g., motion and looming) and some types of brightness change also capture attention. These findings show that new objects are not necessary for attention capture. The present study tested whether they are even sufficient. That is, does a new object attract attention because the visual system is sensitive to new objects or because it is sensitive to the transients that new objects create? In two experiments using a visual search task, new objects did not capture attention unless they created a strong local luminance transient.