Parameter estimation in latent trait models

Latent trait models for binary responses to a set of test items are considered from the point of view of estimating latent trait parameters=( ₁, , _n ) and item parameters=( ₁, , _k ), where _j may be vector valued. With considered a random sample from a prior distribution with parameter, the estimation of (, ) is studied under the theory of the EM algorithm. An example and computational details are presented for the Rasch model.This work was supported by Contract No. N00014-81-K-0265, Modification No. P00002, from Personnel and Training Research Programs, Psychological Sciences Division, Office of Naval Research. The authors wish to thank an anonymous reviewer for several valuable suggestions.     

Revisiting the Myth of the Historical Jesus and the Evolution of Consciousness

Hal Childs has written a solid, subtle, and courageous evaluation of the state of Jesus scholarship, focusing on a critique of the work of John Dominic Crossan. The impact of the fact that the scholars in this field are functioning within the limitations of Cartesian epistemology and ontology is addressed throughout this work, but in a subtle and respectful manner. More directly addressed is the fact that the historical Jesus cannot be discovered solely from that perspective; it requires what Childs terms a fundamentally hermeneutic, archetypal and psychological approach (2000, p. 2). The term historical is in quotes because Childs carefully distinguishes the object of the study from what we like to think of as scientific knowledge.     

Distribution of the feature [+animate] in the lexicon of the child

Piaget suggests that animistic thinking is a pervasive feature of children's cognition. To test this notion, 4- to 8-year-old children were shown several inanimate objects and asked to pick those which perform activities characteristic of living organisms. These activities were typified by six verbs: eat, sleep, breathe, grow, die,, and be alive. Fifty percent of the younger children responded animistically, by misattributing life processes to inanimate objects, but only 18% of their total responses were animistic. Twenty percent of the older children responded animistically, but only 20% of their responses were animistic. In Experiment II, children were shown drawings singly and asked if the object could perform activities named by one of the six verbs. Results were similar to those of Experiment I but with somewhat less animism. Experiment III required children to spontaneously name things that are alive. There were no animistic responses. It was concluded that animistic thinking is not a genuine phenomenon but linguistic confusion elicited by novel objects and unfamiliar words.This work was supported by NSF Grant GB 23083.A portion of the data of Experiment I constituted a Bachelor Honors Thesis conducted by the first author under the direction of the second and submitted to Florida State University. These data were presented at the meeting of the Southeastern Psychological Association, New Orleans, April 1973.     

Quantum Logic as a Fragment of Independence-Friendly Logic

The working assumption of this paper is that noncommuting variables are irreducibly interdependent. The logic of such dependence relations is the author's independence-friendly (IF) logic, extended by adding to it sentence-initial contradictory negation ¬ over and above the dual (strong) negation . Then in a Hilbert space turns out to express orthocomplementation. This can be extended to any logical space, which makes it possible to define the dimension of a logical space. The received Birkhoff and von Neumann quantum logic can be interpreted by taking their disjunction to be ¬(A & B). Their logic can thus be mapped into a Boolean structure to which an additional operator has been added.     

Relevant analytic tableaux

Tableau formulations are given for the relevance logics E (Entailment), R (Relevant implication) and RM (Mingle). Proofs of equivalence to modus-ponens-based formulations are vialeft-handed Gentzen sequenzen-kalküle. The tableau formulations depend on a detailed analysis of the structure of tableau rules, leading to certain global requirements. Relevance is caught by the requirement that each node must be used; modality is caught by the requirement that only certain rules can cross a barrier. Open problems are discussed.     

The elimination of de re formulas

It is shown that de re formulas are eliminable in the modal logic S5 extended with the axiom scheme x x.     

A note on syntactical and semantical functions

We say that a semantical function is correlated with a syntactical function F iff for any structure A and any sentence we have A F A .It is proved that for a syntactical function F there is a semantical function correlated with F iff F preserves propositional connectives up to logical equivalence. For a semantical function there is a syntactical function F correlated with iff for any finitely axiomatizable class X the class ^–1X is also finitely axiomatizable (i.e. iff is continuous in model class topology).     

Spirituality in Older Adults: A Cross-Cultural and Interfaith Perspective

The definition of spirituality poses a variety of problems for the development of theory and research, as well as practical problems for persons interested in promoting the spiritual well-being of older adults. Although any definition of spirituality is problematic, a definition is proposed that comes out of the writer's clinical experience and is relevant to his understanding of the aging process in different cultural and religious contexts. Two case studies are presented to illustrate the relevance of the definition to the experience of older persons from different cultural and religious backgrounds. Reflections on the case studies suggest ways that an appropriately trained advocate might have helped the persons in these illustrations make changes in their situations that might have improved the quality of their lives. Material from the case studies is also used to clarify differences among terms such as spirituality, religion, religiosity, and piety. The paper proposes to be a contribution to a theoretical foundation for studying and working with spirituality in older adults.     

Yes,Virginia, Lemons are Yellow

This paper discusses a number of themes and arguments in The Quest for Reality: Stroud's distinction between philosophical and ordinary questions about reality; the similarity he finds between the view that coloris unreal and the view that it is subjective; his argument against thesecondary quality theory; his argument against the error theory; and the disappointing conclusion of the book.     

Least-squares theory based on general distributional assumptions with an application to the incomplete observations problem

The linear regression modely=x+ is reanalyzed. Taking the modest position that x is an approximation of the best predictor ofy we derive the asymptotic distribution ofb andR ², under mild assumptions.The method of derivation yields an easy answer to the estimation of from a data set which contains incomplete observations, where the incompleteness is random.     

An effective fixed-point theorem in intuitionistic diagonalizable algebras

Summary Within the technical frame supplied by the algebraic variety of diagonalizable algebras, defined by R. Magari in [2], we prove the following:LetT be any first-order theory with a predicate Pr satisfying the canonical derivability conditions, including Löb's property. Then any formula inT built up from the propositional variables q, p₁, ..., p_n, using logical connectives and the predicate Pr, has the same fixed-points relative to q (that is, formulas (p₁ ..., p_n) for which for all p₁, ..., p_n T((p₁, ..., p_n), p₁, ..., p_n) (p₁, ..., p_n)) of a formula ^* of the same kind, obtained from in an effective way.Moreover, such ^* is provably equivalent to the formula obtained from substituting with ^* itself all the occurrences of q which are under Pr. In the particular case where q is always under Pr in , ^* is the unique (up to provable equivalence) fixedpoint of .Since this result is proved only assumingPr to be canonical, it can be deduced that Löb's property is, in a sense, equivalent to Gödel's diagonalization lemma.All the results are proved more generally in the intuitionistic case.The algebraization of the theories which express Theor, IXAllatum est die 19 Decembris 1975     

Some aspects of eloquence in Descartes's works

In Descartes's philosophy, communicating scientific and philosophical truth does not represent a problem that can be traced back to humanistic rhetoric, meant as the art of persuasion. Descartes states his belief in the eloquence of reason: a clear, precise, and adequately expressed thought cannot fail to convince the listener. This is the measure of the distance between the level of truth and the level of opinion. However, the moment of confrontation with the public is also the very moment when the truth of the new knowledge enters into conflict with other, different conceptions. Education and history influence communication with the result that the distinction between intellectual conviction and persuasion becomes less straightforward. Rational eloquence, as Descartes is well aware, must be articulated in such a way as to avoid any possible language equivocation and to adopt exposition strategies ensuring effective access to readers. The aim of this paper is to illustrate some aspects of this tension as expressed by the writer Descartes with reference to a number of texts (from the Regulae to the Meditationes) that were essential for the elaboration and dissemination of his philosophy.     

Context and strategy in acquiring temporal connectives

There has been considerable debate over the role of comprehension strategies in the acquisition of temporal connectives. This study examined the role of caluse logic and interpretational strategies in the acquisition of temporal words; age-related changes were also considered. Thirty-two children between 3 and 5 years of age served as subjects. Sentences with a variety of temporal words were used to tap children's comprehension of before, after, when, while, just before that, and and after that. Clause logic was found to significantly improve the understanding of these sentences. However, the order of mention and main clause first strategies were used infrequently. Apparently, when children respond to sentences that describe information in a way that is consistent with that they normally hear, these strategies are seldom applied.I wish to express my thanks to Janice Bogen, who assisted in data collection, and to Erika Hoff-Ginsberg, who assisted in some of the data analysis.     

Feminism versus minority group identity: Not for black woman only

An analytical review of the literature revealed four basic hypotheses that have been adopted by researchers investigating Black women and their relationships. The hypotheses have been identified by the author as follows: The weakening hypothesis, the double whammy hypothesis, the Black matriarchy hypothesis, and the Black racism hypothesis. In addition, a discussion of the implication that the hypotheses have for Black and White researchers was given. Finally, suggestions for new approaches and directions that future research should take were included.     

Probabilism and beyond

Richard Jeffrey has labelled his philosophy of probability radical probabilism and qualified this position as Bayesian, nonfoundational and anti-rationalist. This paper explores the roots of radical probabilism, to be traced back to the work of Frank P. Ramsey and Bruno de Finetti.     

On superintuitionistic logics as fragments of proof logic extensions

Coming fromI andCl, i.e. from intuitionistic and classical propositional calculi with the substitution rule postulated, and using the sign to add a new connective there have been considered here: Grzegorozyk's logicGrz, the proof logicG and the proof-intuitionistic logicI set up correspondingly by the calculiFor any calculus we denote by the set of all formulae of the calculus and by the lattice of all logics that are the extensions of the logic of the calculus, i.e. sets of formulae containing the axioms of and closed with respect to its rules of inference. In the logiclG the sign is decoded as follows: A = (A & A). The result of placing in the formulaA before each of its subformula is denoted byTrA. The maps are defined (in the definitions of x and the decoding of is meant), by virtue of which the diagram is constructedIn this diagram the maps, x and are isomorphisms, thereforex ^–1 = ; and the maps and are the semilattice epimorphisms that are not commutative with lattice operation +. Besides, the given diagram is commutative, and the next equalities take place: ^–1 = ^–1 and = ^–1 x. The latter implies in particular that any superintuitionistic logic is a superintuitionistic fragment of some proof logic extension.     

A Chemically Induced “Shadow”?

Stevenson's classic yarn, Dr. Jekyll and Mr. Hyde, is explored as a vivid, insightful story of addiction. In spite of clinical temptations to chase deeper issues connected with the dark side, this article suggests that pastoral counselors and psychotherapists need to first ask whether a client's shadow may be chemically induced.     

On finite approximability of ψ-intermediate logics

The aim of this note is to show (Theorem 1.6) that in each of the cases: = {, }, or {, , }, or {, , } there are uncountably many -intermediate logics which are not finitely approximable. This result together with the results known in literature allow us to conclude (Theorem 2.2) that for each : either all -intermediate logics are finitely approximate or there are uncountably many of them which lack the property.     

Untersuchungen über Zusammenhänge zwischen drei Leistungsfaktoren und Antworten auf Fragebogenitems

Zusammenfassung 90 Oberschüler beantworteten 214 Fragebogenitems und bearbeiteten 41 Leistungsaufgaben, die zusammen drei in einer faktorenanalytischen Untersuchung von Jäger gefundene Faktoren repräsentieren. Die Zusammenhänge zwischen Fragen- und Aufgabengruppen wurden korrelations- und faktorenanalytisch untersucht. Die Leistungen in den den Faktor Anschauungsgebundenes Denken repräsentierenden Aufgaben korrelierten positiv mit durch Fragebogenitems definierten Verhaltensdimensionen Hinwendung zum Konkreten und Wohlbefinden-Emotionale Stabilität-Leistungszuversicht. Die Leistungen in Einfallsreichtum und Produktivität korrelierten positiv mit Überlegenheitsgefühl-Leistungszuversicht-Emotionale Stabilität-Wohlbefinden, sowie mit Spontaneität, Selbständigkeit und Flexibilität. Die Leistungen in einem dritten Faktor, der Tempo-Motivation bei einfach strukturierten Aufgaben benannt werden könnte, korrelierten positiv mit Soziale Zuwendung-Extraversion und scheint darüberhinaus mit einem Merkmal kompensatorischer Leistungsehrgeiz in Beziehung zu stehen. Die Ergebnisse werden diskutiert und Hypothesen zur Überprüfung und Ausweitung der Befunde formuliert.

---

Summary 90 subjects answered 214 questionnaire and 41 ability test items, tbe latter representing three factors found by Jäger in an extensive factor analytic investigation. The relations between all the variables were analyzed by correlational and factor analytic methods. It was found that the ability called vision-related thinking is positively correlated with questionnaire-defined behavioral dimensions called reality orientation and well-being-emotional stability-achievement confidence. The ability fluency and productivity is positively correlated with superiority feeling-achievement confidence-emotional stability-well-being, with spontaneity, independence, and flexibility. Speed-motivation in simple tasks is positively correlated with social participation-extraversion and seems to be related to a trait called compensatory achievement orientation. The findings are discussed and hypotheses for subsequent test and extension formulated.

---

---

Wir danken Herrn Dr. A. O. Jäger für die freundliche Erlaubnis, Aufgaben und Ergebnisse aus seiner Forschungsarbeit vor deren Veröffentlichung zu verwerten. Herrn Dipl.-Math. P. Schnell vom Deutschen Rechenzentrum in Darmstadt für die Durchführung der Berechnungen, unseren Kollegen, den Dipl.-Psychologen K. Althoff, Ch. Balzert, K. D. Stoll und P. Wolff für freundliche Mithilfe, nicht zuletzt unseren Vpn für ihren Einsatz und den Herrn Oberstudiendirektoren Jung, Hadamar, Dr. Keller, Montabaur, und Sauer, Limburg, für die Erlaubnis zur Durchführung der Untersuchungen an ihren Schulen.