Introduces and discusses the rationale and procedures of two nonparametric approaches to estimating the operating characteristic of a discrete item response, or the conditional probability, given the latent trait, that the examinee's response be that specific response. (SLD)

Presents a game designed as a chance-and-data activity that can be used to illustrate the use of probability-tree diagrams and multiplication and addition rules of probability. (ASK)

Attempts to show how genes and environments cooperate in the construction of organisms, focusing on how genes require environmental and behavioral inputs to function appropriately during the normal course of human development. The discussion is related to a model of probabilistic epigenesis. (SLD)

Discusses the commercial for Skittles candies and asks the question "How many flavor combinations can you find?" Focuses on the modeling for a Skittles exercise which includes a brief outline of the mathematical modeling process. Guides students in the use of the binomial theorem and Pascal's triangle in this activity. (ASK)

Examined how 6- to 9-year-olds and adults judged expected value of complex gambles in which alternative outcomes had different prizes. Found that participants at all ages used multiplication rule for integrating probability and value of each individual outcome, and based judgment of overall expected value on alternative outcomes. Even youngest…

Two versions of the Smoking Consequences Questionnaire for adults were developed and tested with 407 smokers and nonsmokers. The version with probability items appeared to have greater construct validity than the version with subjective expected utility items. The scale reflects the refinement of smokers' outcome expectancies with experience. (SLD)

Generalizing Boolean matrix decomposition to a larger class of matrix decomposition models is demonstrated, and probability matrix decomposition (PMD) models are introduced as a probabilistic version of the larger class. An algorithm is presented for the computation of maximum likelihood and maximum a posteriori estimates of the parameters of PMD…

Presents several theoretical solutions to a geometry problem involving circles and probability. Includes simulation procedures to estimate the solutions. (MKR)

Decribes a variation on Bingo that provides a non-routine probability investigation through which students develop concepts of chance. (Author/CCM)

In Experiment 1, 10 pigeons were exposed to a successive symbolic matching-to-sample procedure in which the sample was generated by the pigeons' own behavior. Each trial began with both response keys illuminated white, one being the "correct" key and the other the "incorrect" key. The pigeons had no way of discriminating which key was correct and…

Darwinian selection by consequences was instantiated in a computational model that consisted of a repertoire of behaviors undergoing selection, reproduction, and mutation over many generations. The model in effect created a digital organism that emitted behavior continuously. The behavior of this digital organism was studied in three series of…

Using Microsoft Excel, several interactive, computerized learning modules are developed to demonstrate the Central Limit Theorem. These modules are used in the classroom to enhance the comprehension of this theorem. The Central Limit Theorem is a very important theorem in statistics, and yet because it is not intuitively obvious, statistics…

An eye-movement monitoring experiment was carried out to examine the effects of the difficulty of the problem (simple versus complex problems) and the type of figure (figure 1 or figure 4) on the time course of processing categorical syllogisms. The results showed that the course of influence for these two factors is different. We found early…

Objective: The Strengths and Difficulties Questionnaire is a 25-item instrument developed to assess emotional and behavioral problems. The current study attempted to replicate previous European structural analyses and to describe the latent dimensions that underlie responses to the parent-reported version of the Strengths and Difficulties…

This paper analyses the effects of the size of school districts on educational attainment of students after compulsory school in Denmark. Using administrative microdata for individual students and their parents, logit models for the probability of obtaining different levels of education are estimated where the explanatory variables include…