We study different ways of determining the mean distance (r[subscript n]) between a reference point and its nth neighbour among random points distributed with uniform density in a D-dimensional Euclidean space. First, we present a heuristic method; though this method provides only a crude mathematical result, it shows a simple way of estimating…

The title of this article comes from a remark made by a Y10 girl in response to a question about repetition in her mathematics lessons. When asked why she thought that teachers returned to the same topic in different year groups, she replied: "So that it's, like, branded in our brains, so that we know it forever". Her comment stands in…

We determined if the "relative age" effect, wherein older students in an age cohort in early grades do better academically, extends to birthdates of applicants to medical schools, and if birthdates are related to the success of their applications. We examined birthdays of applicants from Michigan to Wayne State University's School of…

During the last 25 years, prospect theory and its successor, cumulative prospect theory, replaced expected utility as the dominant descriptive theories of risky decision making. Although these models account for the original Allais paradoxes, 11 new paradoxes show where prospect theories lead to self-contradiction or systematic false predictions.…

Controversy surrounds the ranking of crime seriousness of white-collar crimes relative to street crimes, with early research suggesting the general public is indifferent to crimes of the elite, whereas more recent research indicates that the public thinks certain types of white-collar crime are serious. Building on prior research limitations and…

This paper investigates the role of resource allocation as a source of processing difficulty in human sentence comprehension. The paper proposes a simple information-theoretic characterization of processing difficulty as the work incurred by resource reallocation during parallel, incremental, probabilistic disambiguation in sentence comprehension,…

Above-average and below-average effects appear to be common and consistent across a variety of judgment domains. For example, several studies show that individual items from a high- (low-) quality set tend to be rated as better (worse) than the other items in the set (e.g., E. E. Giladi & Y. Klar, 2002). Experiments in this article demonstrate…

In response to the increasing cost of college, colleges and universities are leveraging financial aid and academic support services to implement access and success programs intended to help financially disadvantaged students afford and persist through a baccalaureate degree program. This research is a study of the efficacy of one such program at a…

Purpose: The purpose of this study was to determine whether children exposed to 2 languages would benefit from the phonotactic probability cues of a single language in the same way as monolingual peers and to determine whether crosslinguistic influence would be present in a fast-mapping task. Method: Two groups of typically developing children…

This study examines the differential effects on student subgroups of using the ACT® College Readiness Assessment Composite (ACTC) score and high school grade point average (HSGPA) for making admission decisions. The subgroup characteristics investigated include race/ethnicity, gender, and income. For each student subgroup, we examine the effect of…

My dissertation utilizes an explanatory, sequential mixed-methods research design to assess factors influencing community college students' transfer probability to baccalaureate-granting institutions and to present promising practices in colleges and states directed at improving upward transfer, particularly for low-income and first-generation…

A heuristic approach to explaining of the Black-Scholes option pricing model in undergraduate classes is described. The approach draws upon the method of protocol analysis to encourage students to "think aloud" so that their mental models can be surfaced. It also relies upon extensive visualizations to communicate relationships that are…

When linguistic input provides inconsistent evidence for grammatical structures, children tend to regularize. For example, children learning languages from parents who are imperfect users of the language regularize their parents' inconsistent usages (Singleton & Newport, 2004). Previous studies (Hudson Kam & Newport, 2005, 2009) have examined this…

The purpose of the recently proposed "p[subscript rep]" statistic is to estimate the probability of concurrence, that is, the probability that a replicate experiment yields an effect of the same sign (Killeen, 2005a). The influential journal "Psychological Science" endorses "p[subscript rep]" and recommends its use…

The sense that replicability is an important aspect of empirical science led Killeen (2005a) to define "p[subscript rep]," the probability that a replication will result in an outcome in the same direction as that found in a current experiment. Since then, several authors have praised and criticized 'p[subscript rep]," culminating…