In this short note, the difference between improbable and unexpected outcomes is demonstrated via an example that uses the hypergeometric distribution.

An exact permutation test is provided for the tetrachoric correlation coefficient. Comparisons with the conventional test employing Student's t distribution demonstrate the necessity of using the permutation approach for small sample sizes and/or disproportionate marginal frequency totals. (Contains 4 tables.)

Swift and Greenberg (2012) observed that variables influencing the decision to drop out fluctuate according to the primary presenting problem, the amount of structure in therapy, the length of treatment, and the clinical setting. Due to these reports, researchers may focus on predictors of premature termination (PT) in treatment settings where the…

U.S. social programs, set up to address important problems, often fall short by funding specific models/strategies ("interventions") that are not effective. When evaluated in scientifically-rigorous studies, social interventions in K-12 education, job training, crime prevention, and other areas are frequently found ineffective or…

Although activity in premotor and motor cortices is commonly observed in neuroimaging studies of spoken language processing, the degree to which this activity is an obligatory part of everyday speech comprehension remains unclear. We hypothesised that rather than being a unitary phenomenon, the neural response to speech perception in motor regions…

Although peer influence is a salient predictor of delinquency, how it operates in the etiology of runaway behavior is not fully understood. Using data from the National Longitudinal Study of Adolescent Health, this study demonstrates the importance of taking peers into account in understanding the etiology of running away. The findings suggest…

When playing percussion instruments, the main activity is done with the help of a motion or motor skills; to perform it, developed fine motor skills are necessary: the speed and precision of fingers, hands and palms. The aim of the research was to study and test the development of young adults' fine motor skills while learning to play percussion…

Most students love to play games. Ernest (1986) believed that games could be used to teach mathematics effectively in four areas: motivation, concept development, reinforcement of skills, and practice of problem-solving strategies. Fifteen is an interesting and thought-provoking game that helps students learn mathematics at the same time. Playing…

Research on teaching high school mathematics shows that the topic of percentages often causes learning difficulties. This article describes a method of teaching percentages that the authors used in university bridging courses. In this method, the information from a word problem about percentages is presented in a two-way table. Such a table gives…

A challenging problem in some developing countries such as Nigeria is inadequate training of students in effective problem solving using the core concepts of their disciplines. Related to this is a disconnection between their learning and socio-economic development agenda of a country. These problems are more vivid in statistical education which…

Audit studies testing for discrimination have been criticized because applicants from different groups may not appear identical to employers. Correspondence studies address this criticism by using fictitious paper applicants whose qualifications can be made identical across groups. However, Heckman and Siegelman (1993) show that group differences…

We investigate short and long-term effects of early childhood education using variation created by a unique policy experiment in British Columbia, Canada. Our findings imply starting Kindergarten one year late substantially reduces the probability of repeating the third grade, and meaningfully increases in tenth grade math and reading scores.…

This dissertation contains several projects, each addressing different questions with different techniques. In chapter 1, I argue that they are unified thematically by their goal of "scaling up psycholinguistics"; they are all aimed at analyzing large data-sets using tools that reveal patterns to propose and test mechanism-neutral hypotheses about…

Statistical theory and its application provide the foundation to modern systematic inquiry in the behavioral, physical and social sciences disciplines (Fisher, 1958; Wilcox, 1996). It provides the tools for scholars and researchers to operationalize constructs, describe populations, and measure and interpret the relations between populations and…

Often, quantitative and mathematical models are used to study complex dynamic systems--where collections of individual components interact to produce an emergent pattern of behavior. To interpret such models involves 'unpacking' the collective behaviors and interactions that underlie a given pattern. We investigate what representational supports…