Optimal sequential designs for on-line item estimation

Replenishing item pools for on-line ability testing requires innovative and efficient data collection designs. By generating localD-optimal designs for selecting individual examinees, and consistently estimating item parameters in the presence of error in the design points, sequential procedures are efficient for on-line item calibration. The estimating error in the on-line ability values is accounted for with an item parameter estimate studied by Stefanski and Carroll. LocallyD-optimaln-point designs are derived using the branch-and-bound algorithm of Welch. In simulations, the overall sequential designs appear to be considerably more efficient than random seeding of items.This report was prepared under the Navy Manpower, Personnel, and Training R&D Program of the Office of the Chief of Naval Research under Contract N00014-87-0696. The authors wish to acknowledge the valuable advice and consultation given by Ronald Armstrong, Charles Davis, Bradford Sympson, Zhaobo Wang, Ing-Long Wu and three anonymous reviewers.     

Explicit Instruction With or Without High-<Emphasis Type="Italic">p</Emphasis> Sequences: Which is More Effective to Teach Multiplication Facts?

Basic fact acquisition is an important component for developing higher-order math skills. However, getting students with a history of academic noncompliance to engage in activities related to skills acquisition can be difficult. Prior research demonstrates that engagement increases when nonpreferred activities are preceded by a series of brief activities with a high probability of completion. This technique, called high-p task/request sequences, was not fully explored within the context of skill acquisition. The purpose of this study was to examine the effects of adding high-p sequences to explicit instruction on the math fact acquisition of three elementary-age students in a learning support classroom. Results showed no differences in fact acquisition between explicit instruction and explicit instruction with an added high-p component. However, the high-p sessions took nearly twice as long to complete when compared to explicit instruction alone. Implications for instructional efficiency and limitations of the high-p procedures for acquisition tasks are discussed.     

Logit models and logistic regressions for social networks: III. Valued relations

This paper generalizes thep* model for dichotomous social network data (Wasserman & Pattison, 1996) to the polytomous case. The generalization is achieved by transforming valued social networks into three-way binary arrays. This data transformation requires a modification of the Hammersley-Clifford theorem that underpins thep* class of models. We demonstrate that, provided that certain (non-observed) data patterns are excluded from consideration, a suitable version of the theorem can be developed. We also show that the approach amounts to a model for multiple logits derived from a pseudo-likelihood function. Estimation within this model is analogous to the separate fitting of multinomial baseline logits, except that the Hammersley-Clifford theorem requires the equating of certain parameters across logits. The paper describes how to convert a valued network into a data array suitable for fitting the model and provides some illustrative empirical examples.This research was supported by grants from the Australian Research Council, the National Science Foundation (#SBR96-30754), and the National Institute of Health (#PHS-1RO1-39829-01).     

On relative universality and Q-universality

Adams and Dziobiak proved that any finite-to-finite universal quasivariety must be Q-universal, and then asked whether a somewhat weaker hypothesis could lead to the same conclusion. We show that their original hypothesis cannot be weakened to its naturally extreme form.To Professor Ale Pultr on his 65th birthdayThe authors gratefully acknowledge the support of the NSERC of Canada, of the project LN00A056 of the Czech Ministry of Education, and also of the Grant Agency of Czech Republic under the grant 201/02/0148.Special issue of Studia Logica: Algebraic Theory of Quasivarieties Presented by M. E. Adams, K. V. Adaricheva, W. Dziobiak, and A. V. Kravchenko     

A conservative inverse normal test procedure for combining p-values in integrative research

The use ofp-values in combining the results of independent studies often involves studies that are potentially aberrant either in quality or in actual values. A robust data analysis suggests the use of a statistic that takes these aberrations into account by trimming some of the largest and smallestp-values. We present a trimmed statistic based on an inverse cumulative normal transformation of the orderedp-values, together with a simple and convenient method for approximating the distribution and first two moments of this statistic.The author thanks Ingram Olkin, David Rogosa, Jim Hodges and two anonymous reviewers for providing many useful comments and suggestions.     

A multistage ranking model

In this paper, we propose a (n–1)² parameter, multistage ranking model, which represents a generalization of Luce's model. We propose then×n item-rank relative frequency matrix (p-matrix) as a device for summarizing a set of rankings. As an alternative to the traditional maximum likelihood estimation, for the proposed model we suggest a method which estimates the parameters from thep-matrix. An illustrative numerical example is given. The proposed model and its differences from Luce's model are briefly discussed. We also show some specialp-matrix patterns possessed by the Thurstonian models and distance-based models.     

Higher-order approximations to the distributions of fit indexes under fixed alternatives in structural equation models

Higher-order approximations to the distributions of fit indexes for structural equation models under fixed alternative hypotheses are obtained in nonnormal samples as well as normal ones. The fit indexes include the normal-theory likelihood ratio chi-square statistic for a posited model, the corresponding statistic for the baseline model of uncorrelated observed variables, and various fit indexes as functions of these two statistics. The approximations are given by the Edgeworth expansions for the distributions of the fit indexes under arbitrary distributions. Numerical examples in normal and nonnormal samples with the asymptotic and simulated distributions of the fit indexes show the relative inappropriateness of the normal-theory approximation using noncentral chi-square distributions. A simulation for the confidence intervals of the fit indexes based on the normal-theory Studentized estimators under normality with a small sample size indicates an advantage for the approximation by the Cornish–Fisher expansion over those by the noncentral chi-square distribution and the asymptotic normality. The author is indebted to the reviewers for their comments and suggestions, which have led to the improvement of the previous versions of this paper. This work was partially supported by Grant-in-Aid for Scientific Research from the Japanese Ministry of Education, Culture, Sports, Science, and Technology.     

Using High-Probability Request Sequences to Increase Journal Writing

Written expression is a key aspect of academic success. Programs to enhance writing skills often rely on a feedback loop that consists of student production (i.e., get something on paper) and teacher feedback. Unfortunately, some students fail to produce enough written product so that the teacher can give constructive feedback. The purpose of this study was to examine two methods to increase the written word production of four students with difficulties in written expression. In the verbal prompt condition, students were given verbal prompts by their teacher to resume writing in their journals after the student stopped writing for approximately one min. In the high-p request condition, the teacher asked students to write a series of three words that typically occasioned compliance prior to asking the student to resume journal writing. Both interventions were assessed within the context of verbal praise and no verbal praise. Results suggested that both interventions increased the number of words written, particularly in the verbal praise condition. However, the high-p request sequence was more efficient and produced writing behavior that was more persistent across sessions. Results are discussed within the context of the theory of behavioral momentum.     

Network models for social influence processes

This paper generalizes thep* class of models for social network data to predict individual-level attributes from network ties. Thep* model for social networks permits the modeling of social relationships in terms of particular local relational or network configurations. In this paper we present methods for modeling attribute measures in terms of network ties, and so constructp* models for the patterns of social influence within a network. Attribute variables are included in a directed dependence graph and the Hammersley-Clifford theorem is employed to derive probability models whose parameters can be estimated using maximum pseudo-likelihood. The models are compared to existing network effects models. They can be interpreted in terms of public or private social influence phenomena within groups. The models are illustrated by an empirical example involving a training course, with trainees' reactions to aspects of the course found to relate to those of their network partners.This research was supported by grants from the Australian Research Council. The authors would like to acknowledge the help of Stanley Wasserman, Janice Langan-Fox and Larry Hubert, and would like to thank four anonymous reviewers for their helpful comments. Earlier versions of this article were presented at the North American Conference of the Psychometric Society, Lawrence, Kansas, June, 1999, and at the Australasian Mathematical Psychology Conference, Brisbane, Australia, December 1999.     

Optimal Partitioning of a Data Set Based on the p-Median Model

Although the K-means algorithm for minimizing the within-cluster sums of squared deviations from cluster centroids is perhaps the most common method for applied cluster analyses, a variety of other criteria are available. The p-median model is an especially well-studied clustering problem that requires the selection of p objects to serve as cluster centers. The objective is to choose the cluster centers such that the sum of the Euclidean distances (or some other dissimilarity measure) of objects assigned to each center is minimized. Using 12 data sets from the literature, we demonstrate that a three-stage procedure consisting of a greedy heuristic, Lagrangian relaxation, and a branch-and-bound algorithm can produce globally optimal solutions for p-median problems of nontrivial size (several hundred objects, five or more variables, and up to 10 clusters). We also report the results of an application of the p-median model to an empirical data set from the telecommunications industry.     

Finitistic and Frequentistic Approximation of Probability Measures with or without <Emphasis Type="Italic">σ</Emphasis>-Additivity

In this paper a theory of finitistic and frequentistic approximations — in short: f-approximations — of probability measures P over a countably infinite outcome space N is developed. The family of subsets of N for which f-approximations converge to a frequency limit forms a pre-Dynkin system . The limiting probability measure over D can always be extended to a probability measure over , but this measure is not always σ-additive. We conclude that probability measures can be regarded as idealizations of limiting frequencies if and only if σ-additivity is not assumed as a necessary axiom for probabilities. We prove that σ-additive probability measures can be characterized in terms of so-called canonical and in terms of so-called full f-approximations. We also show that every non-σ-additive probability measure is f-approximable, though neither canonically nor fully f-approximable. Finally, we transfer our results to probability measures on open or closed formulas of first-order languages.     

A longitudinal study of school adjustment in urban,minority adolescents: Effects of a high school transition program

Described an intervention program designed to prepare elementary school (K-8) eighth-grade students for their transition to high school the following year. Participants in the study were 145, predominantly Hispanic, inner-city public school adolescents. The experimental group received an augmented condition, consisting of Education and Peer Support Components. The control group received a minimal condition consisting of only the Education Component. While no group effects were observed, time effects indicated experimental and control students' improved perceptions of school readiness, but deteriorated perceptions of support from both home and school and diminished grade-point averages and attendance. Time effects also revealed variable changes in school perceptions. Findings are discussed in terms of a developmental perspective of the school transition process. Implications for high school transition programming with the target population and directions for future research are also addressed.     

The Laozi Code

The term “dao” (道) has been playing the theoretically paradigmatic role in almost all East Asian philosophies, religions, and cultures. The meanings of the term “dao” in the Dao De Jing and other ancient East Asian texts have remained hermeneutically problematic up to this point in time. This article argues that one of the main causes of this hermeneutical problematic is the failure to establish a theoretically formal typology of the “dao.” It further suggests that a hermeneutically disciplined reading of the 76 uses of the term “dao” in the Dao De Jing accomplishes two important goals: (1) it demonstrates that a typological approach may enhance an understanding of the Laoian Dao, and (2) it provides some good data to begin reconstructing such a theoretically formal dao-typology.     

A Short Story about the Übermensch: Vladimir Solov'ëv's Interpretation of and Response to Nietzsche's Übermensch

From the 1890s on, the atheist philosopher F. Nietzsche exerted a profound and enduring impact on Russian religious, cultural, and social reality. The religious philosopher V.S. Solov'ëv perceived Nietzsche's thought as an actual threat to Russian religious consciousness and his own anthropological ideal of Divine Humanity. He was especially preoccupied with the idea of the Übermensch since sometwo decades before the Nietzschean Übermensch was popularized in Russia, Solov'ëv had already developed his own interpretation of the sverkhchelovek.     

Concurrent Validity Studies of the Facial Discrimination Task

We examined the concurrent validity properties of the Facial Discrimination Task (FDT), an instrument for the assessment of facial emotion recognition by comparing it with the widely used Pictures of Facial Affect (PFA). In Study 1, 100 adults with heterogeneous psychiatric diagnoses were administered items of the FDT Emotion Task, the FDT Age Task, and PFA. In Study 2, 25 normally developing preschool children were instructed to label happy, sad, or neutral facial expressions from the FDT and the PFA. Despite methodological differences between the two studies, very similar and high correlations were found between the FDT and the PFA overall correct scores (r = .79 and r = .77, respectively). The data suggest that the FDT and the PFA measure similar competencies in preschoolers and in adults with psychiatric disorders. This finding is important because it establishes the concurrent validity of the FDT in child and adult populations.     

A Logic is Referential iff it is Selfextensional

The title of this paper is a theorem, which I am going to state and prove. The theorem extends from prepositional to predicate languages the result I presented in [5].     

老庄哲学与上博竹书《恒先》

The bamboo slip essay Hengxian 恒先is historically valuable because it serves to further the ontological understanding and comprehension of issues related to the existence of the universe from the perspective of Laozi’s Daoist thought. Hengxian explores important propositions such as how “Qi originated and activated itself” and “they came out of the same source but differed in nature” from several aspects. The idea that “Hengxian is ‘being’ without any definiteness” responds to the issue of the relationship of difference and identity of all things in the world, and thus examines the interdependent relationships between subjects and objects. It proposes that humans can further understand the existence of the universe through cognitive activities and practices such as “analysis and comparison” in which objective realities are checked. The issues discussed in Hengxian are consistent with Laozi’s Dao de jing, the works of Zhuangzi, Huangdi sijing 黄帝四经 (The Four Classics from the Emperor Yellow) and other Daoist works, and deserve significant attention. Translated by Huang Deyuan from Daojia wenhua yanjiu 道家文化研究 (Research of Daoist Culture), 2007, (22): 539–563