In the branch of probability called "large deviations," rates of convergence (e.g. of the sample mean) are considered. The theory makes use of the moment generating function. So, particularly for sums of independent and identically distributed random variables, the theory can be made accessible to senior undergraduates after a first course in…

What makes some explanations better than others? This paper explores the roles of simplicity and probability in evaluating competing causal explanations. Four experiments investigate the hypothesis that simpler explanations are judged both better and more likely to be true. In all experiments, simplicity is quantified as the number of causes…

In the present work we treat the problem of a particle in a uniform magnetic field along the symmetric gauge, so chosen since the wavefunctions present the required cylindrical symmetry. It is our understanding that by means of this work we can make a contribution to the teaching of the present subject, as well as encourage students to use…

The thermodynamic concepts of First and Second Laws with respect to the entropy function are described using atoms and molecules and probability as manifested in statistical mechanics. The First Law is conceptually understood as [Delta]U = Q + W and the Second Law of Thermodynamics and the entropy function have provided the probability and…

This article engages students in a simulation of the Coat Check problem, in which four women check their coats only to have them returned at random. Students examine the experimental and theoretical probability of at least one woman getting her own coat back.

Previous methodological and applied studies that used binary logistic regression (LR) for detection of differential item functioning (DIF) in dichotomously scored items either did not report an effect size or did not employ several useful measures of DIF magnitude derived from the LR model. Equations are provided for these effect size indices.…

The existence of recurrent synaptic connections in CA3 led to the hypothesis that CA3 is an autoassociative network similar to the Hopfield networks studied by theorists. CA3 undergoes gamma frequency periodic inhibition that prevents a persistent attractor state. This argues against the analogy to Hopfield nets, in which an attractor state can be…

The Monty Hall three-door, "Let's Make a Deal" game, named after the 1970s television show, is used widely in economics, econometrics, statistics, and game-theory-based teaching, as well as in many other disciplines. Its solutions and underlying assumptions arouse great passion and argument, in both the academic and popular press. Most economists…

Alternative measures of "confirmation" or "evidential support" have been proposed to express the impact of ascertaining one event on the credibility of another. We report an experiment that compares the adequacy of several such measures as descriptions of confirmation judgment in a probabilistic context.

Ecuador's 2008 Constitution--and a subsequent law on higher education passed in its wake--effectively suspended student fees for public universities. The goal of this reform was to increase equality of opportunity. In this article I use newly-available individual-level retrospective information from the 2001 Census to explore gender and ethnic…

Suggests that sociolinguistic theory with a probability base does not provide a means of saying anything about such questions as social meaningfulness of behavior or communicative competence in any other way than an uninteresting one. Believes a partially empirically based sociolinguistic theory is the least restrictive alternative to a largely…

Lipinski and Gupta (2005) report the results of 12 experiments and numerous analyses that attempted to examine further the effects of phonotactic probability originally reported in Vitevitch and Luce (1998, and further explored in Vitevitch & Luce 1999). They suggested that Vitevitch and Luce's results were due to differences in the duration of…

This article considers some probability calculations for a television game show.

Often the differences students see in science and mathematics classrooms are in perspective, approach, or application. Understanding those differences can help teachers to present a unified picture of mathematics and science to their students. In this article, the science teacher is given a glimpse of the treatment of topics shared by both…

The first exam in a typical first-semester general chemistry course is used to identify students at risk of failing the course. The performance at Hunter College of 667 students on the first exam in general chemistry in seven different classes between fall 2000 and fall 2005 was correlated with the students' final score in the course. The…