Concurrent disjoint and reciprocal classification by Cebus apella in seriation tasks: evidence for hierarchical organization

We report the results of a 4-year-long study of capuchin monkeys (Cebus apella ) on concurrent three-way classification and linear size seriation tasks using explicit ordering procedures, requiring subjects to select icons displayed on touch screens rather than manipulate and sort actual objects into groups. The results indicate that C. apella is competent to classify nine items concurrently, first into three disjoint classes where class exemplars are identical to one another, then into three reciprocal classes which share common exemplar (size) features. In the final phase we compare the relative efficiency of executive control under conditions where both hierarchical and/or linear organization can be utilized. Whilst this shows a superiority of categorical based size seriation for a nine item test set suggesting an adaptive advantage for hierarchical over linear organization, Cebus nevertheless achieved high levels of principled linear size seriation with sequence lengths not normally achieved by children below the age of six years.     

Using the conditional grade-of-membership model to assess judgment accuracy

Consider the case whereJ instruments are used to classify each ofI objects relative toK nominal categories. The conditional grade-of-membership (GoM) model provides a method of estimating the classification probabilities of each instrument (or judge) when the objects being classified consist of both pure types that lie exclusively in one ofK nominal categories, and mixtures that lie in more than one category. Classification probabilities are identifiable whenever the sample of GoM vectors includes pure types from each category. When additional, relatively mild, assumptions are made about judgment accuracy, the identifiable correct classification probabilities are the greatest lower bounds among all solutions that might correspond to the observed multinomial process, even when the unobserved GoM vectors do not include pure types from each category. Estimation using the conditional GoM model is illustrated on a simulated data set. Further simulations show that the estimates of the classification probabilities are relatively accurate, even when the sample contains only a small percentage of approximately pure objects.The authors thank Max A. Woodbury, Kenneth G. Manton and H. Dennis Tolley for their help and four anonymous Psychometrika reviewers (including an associate editor) for their beneficial expository and technical suggestions. This work was supported by the Dean's Fund for Summer Research, Owen Graduate School of Management, Vanderbilt University.     

Anxiety as a Predictor and Outcome Variable in the Multimodal Treatment Study of Children with ADHD (MTA)

Initial moderator analyses in the Multimodal Treatment Study of Children with ADHD (MTA) suggested that child anxiety ascertained by parent report on the Diagnostic Interview Schedule for Children 2.3 (DISC Anxiety) differentially moderated the outcome of treatment. Left unanswered were questions regarding the nature of DISC Anxiety, the impact of comorbid conduct problems on the moderating effect of DISC Anxiety, and the clinical significance of DISC Anxiety as a moderator of treatment outcome. Thirty-three percent of MTA subjects met DSM-III-R criteria for an anxiety disorder excluding simple phobias. Of these, two-thirds also met DSM-III-R criteria for comorbid oppositional-defiant or conduct disorder whereas one-third did not, yielding an odds ratio of approximately two for DISC Anxiety, given conduct problems. In this context, exploratory analyses of baseline data suggest that DISC Anxiety may reflect parental attributions regarding child negative affectivity and associated behavior problems (unlike fearfulness), particularly in the area of social interactions, another core component of anxiety that is more typically associated with phobic symptoms. Analyses using hierarchical linear modeling (HLM) indicate that the moderating effect of DISC Anxiety continues to favor the inclusion of psychosocial treatment for anxious ADHD children irrespective of the presence or absence of comorbid conduct problems. This effect, which is clinically meaningful, is confined primarily to parent-reported outcomes involving disruptive behavior, internalizing symptoms, and inattention; and is generally stronger for combined than unimodal treatment. Contravening earlier studies, no adverse effect of anxiety on medication response for core ADHD or other outcomes in anxious or nonanxious ADHD children was demonstrated. When treating ADHD, it is important to search for comorbid anxiety and negative affectivity and to adjust treatment strategies accordingly.     

Item selection methods with exposure and time control for computerized classification test

Computerized classification testing (CCT) commonly chooses items maximizing information at the cut score, which yields the most information for decision-making. However, a corollary problem is that all examinees will be given the same set of items, resulting in high test overlap rate and unbalanced item bank usage, which threatens test security. Moreover, another pivotal issue for CCT is time control. Since both the extremely long response time (RT) and large RT variability across examinees intensify time-induced anxiety, it is crucial to reduce the number of examinees exceeding the time limitation and the differences between examinees' test-taking times. To satisfy these practical needs, this paper proposes the novel idea of stage adaptiveness to tailor the item selection process to the decision-making requirement in each step and generate fresh insight into the existing response time selection method. Results indicate that a balanced item usage as well as short and stable test times across examinees can be achieved via the new methods.     

THE AIMS OF TYPOLOGIES AND A TYPOLOGY OF METHODS

Typologies like Ian Barbour's have been widely used—and critiqued—in religion-and-science. Several alternatives have been proposed by, for example, John Haught, Willem Drees, Mikael Stenmark, and Shoaib Ahmed Malik. However, there has been a surprising deficit in discussion of what we wish typologies to do in religion and science in the first place. In this article, I provide a general analysis of typologies in religion-and-science by (1) providing a classification of existing typologies as conclusion- or concept-oriented; (2) showing that typologies are used, or expected to be used, as first-order categorizations of how religion and science are related and as second-order classifications of scholars/scholarly works; (3) discussing several aims which we might want typologies to achieve in their second-order usage; and (4) presenting a new kind of typology focused on the methods used by scholars which achieves those aims in a unique way.     

GOD OF THE GAPS OR THE GOD OF “DESIGN AND DOMINION”? RE-VISITING NEWTON'S THEOLOGY

Starting with Gottfried Leibniz, Isaac Newton's theology has often been caricatured as putting forward a “God of the gaps” argument for God's existence and continued involvement in the world. Peter Harrison has pointed out that this characterization of Newton's theology is “not entirely clear.” A closer look at Newton's letters and the drafts to the Opticks reveals that, rather than arguing God's providential ordering and care over the world, he takes these for granted and is reluctant to specify instances of this order and care based on his physical research. He certainly believes in gaps in mechanical causes but is more eager to fill those gaps with nonmechanical natural causes than with God. Further, his system does not exhibit the two most prevalent weaknesses attributed to “God of the gaps” theologies: (1) that by describing God as intervening in natural causes his skill as a designer is maligned and (2) that by describing the physical details of God's involvement in the world one puts too much weight on theories likely to be replaced as science advances. Newton avoids the former weakness because it is only God's masterfulness as designer that he ties in any way to his theories of the physical world. He avoids the latter because he never points to God as the direct cause of any specific physical processes. Newton hoped that his system would cause his readers to marvel not only at God's providence but also at humankind's inability to sufficiently understand it.     

Proof-Theoretic Modal PA-Completeness II: The Syntactic Countermodel

This paper is the second part of the syntactic demonstration of the Arithmetical Completeness of the modal system G, the first part of which is presented in [9]. Given a sequent S so that ⊢_GL-LIN S, ⊬_G S, and given its characteristic formula H = char(S), which expresses the non G-provability of S, we construct a canonical proof-tree T of ~ H in GL-LIN, the height of which is the distance d(S, G) of S from G. T is the syntactic countermodel of S with respect to Gand is a tool of general interest in Provability Logic, that allows some classification in the set of the arithmetical interpretations. This revised version was published online in June 2006 with corrections to the Cover Date.     

The classification of neuropsychological deficit

The study involves classification of neuropsychiatric patients on the basis of neuropsychological and intelligence test performance. One hundred twenty-five hospitalized male neuropsychiatric patients with various diagnoses were administered the Halstead-Reitan and Luria-Nebraska neuropsychological test batteries, as well as the Wechsler Adult Intelligence Scale. A cluster analysis was performed for each of those three procedures utilizing Ward's method. It was found in all cases that clusters were determined on the basis of level rather than pattern of performance. Relationships were found between cluster membership and age, education, and presence or absence of structural brain damage but were not found for diagnoses of schizophrenia or alcoholism. Schizophrenic and alcoholic patients were found in all clusters in the case of all three test procedures. Differences in clustering among the three test procedures were noted, with the WAIS being relatively more sensitive to educational differences while the Halstead-Reitan was more sensitive to age differences. The clinical utility of classifying patients on the basis of neuropsychological and cognitive test performance was discussed.Acknowledgement is made to the Veterans Administration for support of this research.     

Six types of fallaciousness: Toward a realistic theory of logical criticism

I begin by formulating the problem of the nature of fallacy in terms of the logic of the negative evaluation of argument, that is, in terms of a theory of logical criticism; here I discuss several features of my approach and several advantages vis-à-vis other approaches; a main feature of my approach is the concern to avoid both formalist and empiricist excesses. I then define six types of fallaciousness, labeled formal, explanatory, presuppositional, positive, semantical, and persuasive; they all involve arguments whose conclusion may be said not to follow from the premises, that is, they involve the logical evaluation of relationships among propositions. I also provide a set of data consisting of four historical cases or nine specific instances of fallacious arguments; these all pertain to the Copernican controversy about the earth's motion in the seventeenth century. I end with a discussion of further problems and inquiries that deserve attention.