An extension is proposed for the network algorithm introduced by C.R. Mehta and N.R. Patel to construct exact tail probabilities for testing the general hypothesis that item responses are distributed according to the Rasch model. A simulation study indicates the efficiency of the algorithm. (SLD)

Discusses a game to present middle-grade students that involves both choice and chance to help them understand the significance and usefulness of mathematical probability. Discusses winning versus self-improvement and provides a student worksheet to help students in thinking about the game. (MKR)

This essay introduces a series of studies developing a statistical theory of elementary learning processes. An attempt is made to derive relations among commonly used measures of behavior and quantitative expressions describing simple learning phenomena. Laws of the theory state probability relations between momentary changes in behavioral and…

Reviews research indicating that students' cognitive models hold random events to be equiprobable Examined 87 students between the ages of 15 and 17 to determine whether masking a random event using geometric figures would affect the students' view of the event as equiprobable. Results indicated that masking overcame the equiprobable bias of the…

Discusses query formulation in information retrieval systems within the framework of adaptive linear models. User preference is emphasized, acceptable ranking strategies are described, query formulation and inductive learning are discussed, relevance feedback and probabilistic approaches are examined, and problems encountered in the design of an…

Describes the development and testing of a model to help schools assess their likelihood of successfully implementing health education innovations. Illustrates the model, developed using an integrative group-process technique that captures experts' qualitative and quantitative judgments as a subjective Bayesian probability model, with 100…

A detailed multisite evaluation of instructional software, the ConStatS package, designed to help students conceptualize introductory probability and statistics, yielded patterns of error on several assessment items. Results from 739 college students demonstrated 10 misconceptions that may be among the most difficult concepts to teach. (SLD)

Presentation of quantitative research on the family often suffers from a tendency to interpret findings on a statistical rather than substantive basis. Advocates the use of data analysis that lends itself to an intuitive understanding of the nature of the findings, the strength of the association, and the import of the result. (JPS)

Describes how multicultural children's literature was used to launch a series of lessons to help children gain insights into a wide range of mathematics concepts and cultures. (ASK)

Studies determinants of university dropouts, using a longitudinal data set on student enrollments at the University of Montreal. Variables explaining persistence and dropouts are related to a nontraditional class-size effect in first-year required courses and to type of university program. Strong academic performance influences student…

Purpose: We examined differential effects of cognitive impairment on each of the activities of daily living (ADL) and instrumental activities of daily living (IADL) tasks. Design and Methods: In a 3-year follow-up of community-dwelling elderly persons in Azuchi, Japan, we assessed cognition by using the Hasegawa Dementia Scale. We examined (a) the…

The crux in psychometrics is how to estimate the probability that a respondent answers an item correctly on one occasion out of many. Under the current testing paradigm this probability is estimated using all kinds of statistical techniques and mathematical modeling. Multiple evaluation is a new testing paradigm using the person's own personal…

Two new methods have been proposed to determine unexpected sum scores on sub-tests (testlets) both for paper-and-pencil tests and computer adaptive tests. A method based on a conservative bound using the hypergeometric distribution, denoted p, was compared with a method where the probability for each score combination was calculated using a…

The randomized response (RR) technique is often used to obtain answers on sensitive questions. A new method is developed to measure latent variables using the RR technique because direct questioning leads to biased results. Within the RR technique is the probability of the true response modeled by an item response theory (IRT) model. The RR…

Although differential item functioning (DIF) theory traditionally focuses on the behavior of individual items in two (or a few) specific groups, in educational measurement contexts, it is often plausible to regard the set of items as a random sample from a broader category. This article presents logistic mixed models that can be used to model…