A latent trait theory via a stochastic learning theory for a knowledge space

To capture the cognitive organization of a set of questions or problems pertaining to a body of information, Doignon and Falmagne have proposed, and analyzed in a number of papers, the concept of aknowledge space, that is, a distinguished collection of subsets of questions, representing the possibleknowledge states. This collection of sets is assumed to satisfy a number of conditions. Since this concept is a deterministic one, the problem of empirical testing arises. A stochastic version of a knowledge space is developed in this paper, in which the knowledge states are considered as possible epochs in a subject's learning history. The knowledge space is decomposed as a union of a number of possible learning paths, calledgradations. The model specifies how a subject is channelled through and progresses along a gradation. A probabilistic axiom of the local indepencence type relates the knowledge states to the observable responses. The predictions of this model are worked out in details in the case of parametric assumptions involving gamma distributions. An application of the model to artificial data is described, based on maximum likelihood methods. The statistical analysis is shown to be capable of revealing the combinatoric core of the model.This work was supported by NSF grant IST-8418860 and ARI grant DAAG29-84-G-0083 to New York University. I am grateful to Jean-Paul Doignon, Mathieu Koppen, Geoff Iverson and Michael Landy for their reactions to previous drafts of this paper, to Michael Villano for carrying out the computer simulation and the analysis of the simulated data, and especially to one referee for his very useful comments.     

Equivalence classes generated by sequence training

In Experiment 1, 3, adult females were taught with verbal instructions and contingencies to select, in sequence, three arbitrary visual stimuli from an array of five stimuli. After four different sequences were taught, match-to-sample tests assessed emergent conditional relations among all stimuli that had been selected in the same order in the sequences. Subjects' performances indicated development of four stimulus classes, three based on ordinal position and one based on nonselection. Next, match-to-sample training established conditional relations between each of four novel figures and one member of each of the ordinal stimulus classes. Tests confirmed that the classes were equivalence classes, each expanded by one new member. In subsequent sequence tests, the new stimuli were selected in a sequence that was consistent with ordinal class membership. Experiment 2 replicated Experiment 1 with 2 different adult females, but the verbal instructions were omitted. Results were similar to Experiment 1, except that extensive review and retesting were required before expansion of the ordinal classes with the novel figures was observed.     

The Origins of Life: What One Needs to Know

Many solar systems in the universe may be expected to contain rocky planets that have accreted organic compounds. These compounds are likely to be universally found. In addition, the chemistry of sulfur, phosphorus, and iron is likely to dominate energy transductions and monomer activation, leading to the eventual emergence of polymers. Proteins and polynucleotides provide living matter with function, structure, and information. The conceptual puzzle regarding their emergence is discussed. The fitness of various elements to serve various roles is analyzed from the viewpoint of electron orbitals. Elements with d orbitals are of central importance.     

Note on two generalizations of coefficient alpha

An important relationship is given for two generalizations of coefficient alpha, Rajaratnam, Cronbach and Gleser's generalizability formula for stratified-parallel tests and Raju's coefficient beta.The author gratefully acknowledges the generous assistance given by reviewers and the editor.     

Lumen Gentium No. 8, and Subsistit in, Again

Francis A. Sullivan says that the one Church of Christ continues to exist perfectly in the Catholic Church, and is present imperfectly in other churches and ecclesial communities. However, he thinks Lumen Gentium 8 also enables us to say that the many churches, non-Catholic and Catholic, are all in the one Church of Christ, since to say the one Church of Christ subsists in the Catholic Church means no more than "continues to exist in" the Catholic Church. In this way, he denies the identity of the one Church of Christ and the Catholic Church. We point out that magisterial documents since Vatican II have consistently refused this proposal, and have instead spoken only of the one Church being present or operative, according to degrees, in non-Catholic churches and communities. We argue that while it is true there is "ecclesial reality" outside the Catholic Church, in that there are elements of truth and sanctification outside of her, the one Church of Christ of which Vatican II expressly speaks is the Church with all the gifts of unity and instruments for salvation with which Christ endowed it. The Catholic Church is not contained in any larger divinely willed and dominically instituted ecclesial reality, and it is without qualification the one Church of Christ and the one Church of Christ is without qualification the Catholic Church.     

Social representations of refugees: Place of origin as a delineating resource

This study investigated social understandings of refugees from Africa in a regional town in NSW, Australia. Drawing from Social Representations Theory (Moscovici, 1984 ), the study investigated whether place of origin (Africa) mediated understandings held about refugees. Two studies were conducted. In the first study, a between‐subjects manipulation using word association tasks revealed that the super‐ordinate term Refugees, and Refugees from Africa shared a common core of elements (poor, war). Although sharing a core, these representations were differentiated by peripheral elements which concurred with social understanding of Africa (e.g. disease), and media portrayal of refugees/asylum seekers (e.g. boat). The salience of these meanings in the community was further explored using a self‐report questionnaire. Results suggested that place of origin, manifested as peripheral representational elements, may play an important role in differentiating, orientating and linking specific refugee groups to particular socio‐political contexts. Further, we contend that place of origin may be understood as a discursive resource, deployed for rhetorical ends. Copyright © 2009 John Wiley & Sons, Ltd.     

Composition of brain oscillations and their functions in the maintenance of auditory,visual and audio–visual speech percepts: an exploratory study

In the present exploratory study based on 7 subjects, we examined the composition of magnetoencephalographic (MEG) brain oscillations induced by the presentation of an auditory, visual, and audio-visual stimulus (a talking face) using an oddball paradigm. The composition of brain oscillations were assessed here by analyzing the probability-classification of short-term MEG spectral patterns. The probability index for particular brain oscillations being elicited was dependent on the type and the modality of the sensory percept. The maintenance of the integrated audio-visual percept was accompanied by the unique composition of distributed brain oscillations typical of auditory and visual modality, and the contribution of brain oscillations characteristic for visual modality was dominant. Oscillations around 20 Hz were characteristic for the maintenance of integrated audio-visual percept. Identifying the actual composition of brain oscillations allowed us (1) to distinguish two subjectively/consciously identical mental percepts, and (2) to characterize the types of brain functions involved in the maintenance of the multi-sensory percept.     

Synthesis of a single phase of high-entropy Laves intermetallics in the Ti–Zr–V–Cr–Ni equiatomic alloy

The high-entropy Ti–Zr–V–Cr–Ni (20 at% each) alloy consisting of all five hydride-forming elements was successfully synthesised by the conventional melting and casting as well as by the melt-spinning technique. The as-cast alloy consists entirely of the micron size hexagonal Laves Phase of C14 type; whereas, the melt-spun ribbon exhibits the evolution of nanocrystalline Laves phase. There was no evidence of any amorphous or any other metastable phases in the present processing condition. This is the first report of synthesising a single phase of high-entropy complex intermetallic compound in the equiatomic quinary alloy system. The detailed characterisation by X-ray diffraction, scanning and transmission electron microscopy and energy-dispersive X-ray spectroscopy confirmed the existence of a single-phase multi-component hexagonal C14-type Laves phase in all the as-cast, melt-spun and annealed alloys. The lattice parameter a = 5.08 Å and c = 8.41 Å was determined from the annealed material (annealing at 1173 K). The thermodynamic calculations following the Miedema’s approach support the stability of the high-entropy multi-component Laves phase compared to that of the solid solution or glassy phases. The high hardness value (8.92 GPa at 25 g load) has been observed in nanocrystalline high-entropy alloy ribbon without any cracking. It implies that high-yield strength (~3.00 GPa) and the reasonable fracture toughness can be achieved in this high-entropy material.     

心理理论的ERP研究:基于多重成分框架的视角

心理理论是社会认知的核心能力之一。现有的心理理论ERP研究以心理理论较为公认的4个成分信念、愿望、意图和情绪为框架,表现出了一些一致性的规律:心理理论相关的脑电成分根据不同的心理理论成分而有所区分;不同心理理论成分诱发的相关脑电出现的位置表现出跨任务的一致性;心理理论的ERP发展研究在儿童身上表现出与成人类似的结果,但也具有时间窗口更长,位置分布更宽广的特性。未来的研究需要设计出更符合ERP研究技术要求的任务范式,并注意心理理论概念结构的完整性,还应探寻心理理论各成分加工的共同电生理基础。     

Comparing Knowledge of β-Thalassemia in Samples of Italians,Italian-Americans,and Non-Italian-Americans

The purpose of this study was to determine the level of β-thalassemia awareness among Italians living on the eastern side of Sicily (Bronte, Catania, and Tortorici, Messina), Italian-Americans, and Americans of other ethnic backgrounds (Other-Americans). A questionnaire was developed which asked respondents knowledge questions about both β-thalassemia and Down Syndrome. Five hundred questionnaires were distributed, and 456 were ultimately returned and analyzed (150 Italians, 156 Italian-Americans, 150 Other-Americans). Italians answered an average of 55% of the β-thalassemia correctly compared to scores of 17 and 24% for the Italian-Americans and Other-Americans, respectively. The groups did not differ in their knowledge of Down Syndrome (all answered between 58 and 60% of the questions correctly on average). Over 80% of the Italian respondents had heard of β-thalassemia compared to only 19% of the Italian-Americans. β-Thalassemia education programs in Italy appear to have dramatically increased awareness of the disorder. Similar programs need to be developed for at-risk populations in the United States.