The article by W. K. Estes marks a turning point in the mathematical learning theory movement. The central constructs were stimulus variability, stimulus sampling, and stimulus response association by contiguity, in a framework enabling prediction of response probability and latency. (SLD)

Develops mathematical models to characterize the probability of continued use of an integrated office automation system and tests these models on longitudinal data collected from 210 individuals using the IBM Professional Office System (PROFS) at the University of California at Berkeley. Analyses using survival functions and proportional hazard…

A Bayesian solution is suggested to the problem of jointly estimating "k is greater than 1" binomial parameters in conjunction with the problem of testing, in a Bayesian sense, the hypothesis "H" of parametric homogeneity. Applications of the estimates are illustrated with several types of data, including ophthalmological…

Examines research on the observed values of retrieval effectiveness obtained in searches of files of nearest neighbor document clusters. Results show interdocument similarities used to generate nearest-neighbor clusters are significantly different from randomly generated clusters. (Contains 14 references.) (EAM)

Presents results of simulations that were conducted to test the effects of errors in estimation of individual term probabilities on the performance of a probabilistic information retrieval (PIR) system. Assigning index terms to documents is described; an information retrieval system called Helpnet is explained; and relevance, ranking, and…

Given a Masters partial credit item with n known step difficulties, conditions are stated for the existence of a set of (locally) independent Rasch binary items such that their raw score and the partial credit raw score have identical probability density functions. (Author/SLD)

Four indexes of agreement between ratings of a person that correct for chance and are interpretable as intraclass correlation coefficients for different analysis of variance models are investigated. Relationships among the estimators are established for finite samples, and the equivalence of these estimators in large samples is demonstrated. (SLD)

Recounts a teacher's experiences with a small group of elementary school students as they explore different forms of the combinatorics problem of choosing two out of five objects. Describes how students examine the connections between the problems and a proof of the relationship. (MDH)

The ability of the NORMIX algorithm to recover overlapping population structures was compared to the OVERCLUS procedure and another clustering procedure in a Monte Carlo study. NORMIX is found to be more accurate than other procedures in recovering overlapping population structure when appropriate implementation options are specified. (SLD)

Presents a problem for students in grades 1-6 concerning the concept of probability. Discusses the student problem-solving process, and provides some responses to the problem published in the January 1998 issue of this journal. (ASK)

Illustrates how the Academy Awards can provide an excellent motivational tool in teaching probability and statistics and presents related activities. (ASK)

Describes ways of thinking about probability and some common student misconceptions. Suggests ways of addressing students' misconceptions and illustrates these ideas with an example. (ASK)

Proves price index (proportion of references within the last five years of literature) is not a pure function of the mean or median reference age, but a well-defined relation in the form of a typical cloud of points. Compares models for analyzing price index (decreasing exponential and lognormal aging) and explains cloud using results from…

Creates graphs to see how the relative frequency of an event tends to approach the probability of that event as the number of trials increases. Uses a simulation of a poker machine to provide context for this subject. (ASK)

Describes and analyzes a learning episode in which two children in year 4 interact with each other and their teacher while playing a probability game involving chocolate M&Ms. Children developed key ideas in probability from a game that was designed to produce cognitive conflict. (ASK)