Multivariate normal integrals and contingency tables with ordered categories

Ak-dimensional multivariate normal distribution is made discrete by partitioning thek-dimensional Euclidean space with rectangular grids. The collection of probability integrals over the partitioned cubes is ak-dimensional contingency table with ordered categories. It is shown that loglinear model with main effects plus two-way interactions provides an accurate approximation for thek-dimensional table. The complete multivariate normal integral table is computed via the iterative proportional fitting algorithm from bivariate normal integral tables. This approach imposes no restriction on the correlation matrix. Comparisons with other numerical integration algorithms are reported. The approximation suggests association models for discretized multivariate normal distributions and contingency tables with ordered categories.The contingency-table approach occurred to me while I was collaborating with Paul Holland of the Educational Testing Service in 1985 on bivariate dependence functions. Holland maintains a belief that the continuous can learn from the discrete. This work is a reassertion of his claim.This research was sponsored by the National Science Council, Republic of China.     

Tail-measurability in monotone latent variable models

We consider latent variable models for an infinite sequence (or universe) of manifest (observable) variables that may be discrete, continuous or some combination of these. The main theorem is a general characterization by empirical conditions of when it is possible to construct latent variable models that satisfy unidimensionality, monotonicity, conditional independence, andtail-measurability. Tail-measurability means that the latent variable can be estimated consistently from the sequence of manifest variables even though an arbitrary finite subsequence has been removed. The characterizing,necessary and sufficient, conditions that the manifest variables must satisfy for these models are conditional association and vanishing conditional dependence (as one conditions upon successively more other manifest variables). Our main theorem considerably generalizes and sharpens earlier results of Ellis and van den Wollenberg (1993), Holland and Rosenbaum (1986), and Junker (1993). It is also related to the work of Stout (1990).The main theorem is preceded by many results for latent variable modelsin general—not necessarily unidimensional and monotone. They pertain to the uniqueness of latent variables and are connected with the conditional independence theorem of Suppes and Zanotti (1981). We discuss new definitions of the concepts of true-score and subpopulation, which generalize these notions from the stochastic subject, random sampling, and domain sampling formulations of latent variable models (e.g., Holland, 1990; Lord & Novick, 1968). These definitions do not require the a priori specification of a latent variable model.The authors made equivalent contributions to the results of this article. Ellis' research was supported by the Dutch Interuniversitary Graduate School of Psychometrics and Sociometrics. Junker's research was supported by ONR Grant N00014-87-K-0277, NIMH Grant MH15758, and a Carnegie Mellon University Faculty Development Grant. In addition Junker would like to acknowledge the hospitality of the Nijmegen Institute for Cognition and Information during his visit to the University of Nijmegen in August 5–10, 1993.     

Measures of interobserver agreement: Calculation formulas and distribution effects

Seventeen measures of association for observer reliability (interobserver agreement) are reviewed and computational formulas are given in a common notational system. An empirical comparison of 10 of these measures is made over a range of potential reliability check results. The effects on percentage and correlational measures of occurrence frequency, error frequency, and error distribution are examined. The question of which is the best measure of interobserver agreement is discussed in terms of critical issues to be considered     

Behavioral correlates of self-control at 33 months

Self-control behavior of 48 33-month-old children was examined during two delay-of-gratification tasks. Children were categorized as high, medium, and low in self-control on the basis of their cumulative delay time. Instances of attention shifts, body movements, as well as social and object-referencing were coded throughout the two delay periods. Results showed significant group differences in behavioral tactics. Children in the low group looked at and touched the forbidden object more often; members of the medium group used more social referencing, and those in the high group were more likely to reference nonforbidden objects. Findings also suggested that high controllers were more likely to use self-distraction tactics involving shifts in attention from one object to another during the delay period. Separate analyses for each task indicated that the observed delay tactics were stable from one context to the other. These findings substantiate results from other research on self-control with 3-year-old children and also document different behavioral styles of self-regulation during delay of gratification.     

汉语相似启动中的偏好效应

使用2-AFC任务,对汉语相似启动中的偏好效应进行研究。结果表明：与联想相比,语义相似对产生启动更有帮助;相似启动中存在偏好效应,但偏好方向发生了改变。     

文本阅读中预期推理激活与编码的语境条件研究

本研究通过三个实验考察了语义联系和因果制约对文本阅读中预期推理激活和编码的贡献。结果表明,预期语境与预期事件间的语义联系不能使预期推理在文本阅读过程中得到激活和编码,语境与预期事件间的强因果关系是文本阅读过程中预期推理激活与编码的必要条件;提示阅读过程中的预期是因果预期而非联想预期。结果为建构主义推理观提供了实验依据。     

Finger counting habit and spatial–numerical association in children and adults

Sensory-motor experiences are known to build up concrete and abstract concepts during the lifespan. The present study aimed to test how finger counting habits (right-hand vs. left-hand starters) could influence the spatial–numerical representation in number-to-position (explicit) and digit-string bisection (implicit) tasks. The subjects were Italian primary school children (N = 184, from the first to the fifth year) and adults (N = 42). No general preference for right- or left-starting in the finger counting was found. In the explicit task, right- or left-starting did not affect performance. In the implicit task, the right-hand starters shifted from the left to the right space when bisecting small and large numbers respectively, while the left-hand starters shifted from the right to the left space with higher leftward bias for large numbers. The finger configuration in Italian children and adults influences the spatial–numerical representation, but only when implicit number processing is required by the task.