Equality of opportunity and complex equality: The special place of schooling

This paper is an engagement with Equality by John Baker, Kathleen Lynch, Judy Walsh and Sara Cantillon. It identifies a dilemma for educational egalitarians, which arises within their theory of equality, arguing that sometimes there may be a conflict between advancing equality of opportunity and providing equality of respect and recognition, and equality of love care and solidarity. It argues that the latter values may have more weight in deciding what to do than traditional educational egalitarians have usually thought.     

非英语专业大学生CET4成绩影响因素的结构模型

以501名参加过CET4的非英语专业大学生为研究对象,通过英语自我效能感问卷（ESEQ）、英语学习焦虑量表（ELAS）和英语学习策略量表（ELSI）的测量,探讨CET4成绩与其主要影响因素性别、英语自我效能感、英语学习焦虑和英语学习策略之间的结构关系模型。结果显示：（1）非英语专业大学生的英语学习焦虑存在显著的性别差异（女生低于男生）;（2）性别除与英语学习策略不存在直接路径作用外,与CET4成绩、英语自我效能感、英语学习焦虑间均存在直接路径作用;（3）英语学习焦虑对CET4成绩既存在直接路径作用,又通过英语自我效能感、英语学习策略和英语自我效能感的中介产生问接路径作用;（4）英语学习策略仅通过英语自我效能感的中介对CET4成绩产生间接路径作用。研究还表明英语自我效能感在CET4成绩影响因素的结构模型中起着瓶颈作用。     

A Unified Nonparametric IRT Model for <Emphasis Type="Italic">d</Emphasis>-Dimensional Psychological Test Data (<Emphasis Type="Italic">d</Emphasis>-ISOP)

The (univariate) isotonic psychometric (ISOP) model (Scheiblechner, 1995) is a nonparametric IRT model for dichotomous and polytomous (rating scale) psychological test data. A weak subject independence axiom W1 postulates that the subjects are ordered in the same way except for ties (i.e., similarly or isotonically) by all items of a psychological test. A weak item independence axiom W2 postulates that the order of the items is similar for all subjects. Local independence (LI or W3) is assumed in all models. With these axioms, sample-free unidimensional ordinal measurements of items and subjects become feasible. A cancellation axiom (Co) gives, as a result, the additive isotonic psychometric (ADISOP) model and interval scales for subjects and items, and an independence axiom (W4) gives the completely additive isotonic psychometric (CADISOP) model with an interval scale for the response variable (Scheiblechner, 1999). The d-ISOP, d-ADISOP, and d-CADISOP models are generalizations to d-dimensional dependent variables (e.g., speed and accuracy of response). The author would like to thank an Associate Editor and two anonymous referees and also Professor H.H. Schulze for their very valuable suggestions and corrections.     

Measuring misinformation in repeat trial pick 1 of 2 tests

An extension is described to a product testing model to account for misinformation among subjects. A misinformed subject is one who associates the taste of product A with product B and vice-versa; thus, the subject would tend to perform incorrectly on pick 1 of 2 tests. A likelihood ratio test for the presence of misinformation is described. The model is applied to a data set, and misinformation is found to exist. Biases due to model misspecificationand other implications for product testing are discussed.The first author is currently on leave from Carnegie Mellon University.     

Statistical inference based on latent ability estimates

The quality of approximations to first and second order moments (e.g., statistics like means, variances, regression coefficients) based on latent ability estimates is being discussed. The ability estimates are obtained using either the Rasch, or the two-parameter logistic model. Straightforward use of such statistics to make inferences with respect to true latent ability is not recommended, unless we account for the fact that the basic quantities are estimates. In this paper true score theory is used to account for the latter; the counterpart of observed/true score being estimated/true latent ability. It is shown that statistics based on the true score theory are virtually unbiased if the number of items presented to each examinee is larger than fifteen. Three types of estimators are compared: maximum likelihood, weighted maximum likelihood, and Bayes modal. Furthermore, the (dis)advantages of the true score method and direct modeling of latent ability is discussed.     

Correspondence analysis and association models constrained by a conditional independence graph

The manner in which the conditional independence graph of a multiway contingency table effects the fitting and interpretation of the Goodman association model (RC) and of correspondence analysis (CA) is considered.Estimation of the row and column scores is presented in this context by developing a unified framework that includes both models. Incorporation of the conditional independence constraints inherent in the graph may lead to equal or additive scores for the corresponding marginal tables, depending on the topology of the graph. An example of doubly additive scores in the analysis of a Burt subtable is given.Thanks are due to anonymous referees who substantially improved the original draft of this paper.     

A bayesian estimation of factor score in confirmatory factor model with polytomous, censored or truncated data

The posterior analysis in estimating factor score in a confirmatory factor analysis model with polytomous, censored or truncated data is investigated in this paper. For the above three types of data, posterior distributions of the factor score are studied, and the estimators of the factor score are obtained to be the location parameters of the posterior distributions. The accuracy of Bayesian estimates is studied via simulation studies.This research was supported by a Hong Kong UGC grant.     

Unbiased estimators of ability parameters,of their variance,and of their parallel-forms reliability

Given known item parameters, unbiased estimators are derived i) for an examinee's ability parameter and for his proportion-correct true score, ii) for the variances of and across examinees in the group tested, and iii) for the parallel-forms reliability of the maximum likelihood estimator .This work was supported in part by contract N00014-80-C-0402, project designation NR 150-453 between the Office of Naval Research and Educational Testing Service. Reproduction in whole or in part is permitted for any purpose of the United States Government.     

REALISM AND OPENNESS IN SCIENTIFIC INQUIRY

Abstract. Intrinsic to rigorous knowledge of God is the recognition that positive theological concepts and statements about God arising under the compelling claims of God's reality upon the human mind must have an open revisable structure. A similar combination of critical realism and ontological openness is apparent in the profound change that has taken place in the rational structure of rigorous science from the radical dualism and closed causal system of classical mechanics to the unifying world view and open dynamic field-theories of modern physics. It is argued that the intersection of theological and natural science in their epis-temological foundations can enhance their ontological commitment and heuristic thrust.