Generalized fiducial inference is a powerful tool for many difficult problems. Based on an extension of R. A. Fisher's work, we used generalized fiducial inference for two extreme value problems and a multiple comparison procedure. The first extreme value problem is dealing with the generalized Pareto distribution. The generalized Pareto…

Learning about statistics is a lot like learning about science: the learning is more meaningful if you can actively explore. This fifth installment of "Explorations in Statistics" revisits power, a concept fundamental to the test of a null hypothesis. Power is the probability that we reject the null hypothesis when it is false. Four…

According to Adams's Thesis, the acceptability of an indicative conditional sentence goes by the conditional probability of its consequent given its antecedent. We test, for the first time, whether this thesis is descriptively correct and show that it is not; in particular, we show that it yields the wrong predictions for people's judgments of the…

Tsetsos, Usher, and Chater (2010) presented several criticisms of decision field theory (DFT) involving its distance function, instability under externally controlled stopping times, and lack of robustness to various multialternative choice scenarios. Here, we counter those claims with a specification of a distance function based on the…

In this article, the authors describe an inexpensive and simple way to make students intuitively experience the probabilistic nature and nonorientated motion of diffusing particles. This understanding allows students to realize why diffusion works so well over short distances and becomes increasingly and rapidly less effective as the distances…

The challenge of retaining teachers in the profession of agricultural education is a prevalent and growing problem in the United States. The purpose of this study was to determine the primary factors contributing to intention to leave the profession among Georgia agriculture teachers. Teacher-participants responded to a web-based survey which…

This article by Elizabeth Reeve and Kim Beswick illustrates how primary children may engage with the Statistics and Probability content contained in the Australian Curriculum. Technology has opened up many possibilities for young children to engage with statistics. In the process the children learned a great deal more than just mathematics.

The purpose of the current investigation was to develop and provide initial validation of the "Social and Academic Behavior Risk Screener" (SABRS). Research was conducted in southeast elementary schools with 54 teacher and 243 student participants. An initial item pool was created through review of developmental research on the…

In this study, we examine the development of student engagement in relation to dropout. We focus on different growth trajectories of engagement between groups of students and on whether these trajectories lead to differences in the survival of the student. The development of behavioural and emotional engagement of 4063 graduates and 541 (11.7%)…

The debate about whether making a risky choice is based on a weighting and adding process has a long history and is still unresolved. To address this long-standing controversy, we developed a comparative paradigm. Participants' eye movements in 2 risky choice tasks that required participants to choose between risky options in single-play and…

The Advanced Placement Program® (AP®) was created to provide access to rigorous, college-level curricula to motivated and prepared high school students. This study evaluated whether the AP Exam scores from the summative exams associated with 10 courses were valid for the placement of students into higher-level college courses in the subject area…

From an intergenerational perspective, the U.S. income distribution is sticky at both ends. Affluence and poverty are both partially inherited. Policy and research has focused on upward mobility, especially from the bottom. But relative intergenerational upward mobility is only possible with equivalent rates of downward mobility, where much less…

The purpose of this study is to contribute insights into how collaborative activity can help promote students' mathematical understanding. A group of six high school students (15- to 16-year olds) worked together on a challenging probability task as part of a larger, after-school, longitudinal study on students' development of mathematical ideas…

Participation in risky sexual behaviors has many deleterious consequences and is a source of concern for parents as well as practitioners, researchers, and public policy makers. Past research has examined the effect of family structure and supportive parenting on risky sexual behaviors among emerging adults. In the present study, we attempt to…

This paper considers the determinants of student participation in Michigan's large inter-district open enrollment system, known as Schools of Choice (SoC). Employing a rich dataset from the Michigan Department of Education, we examine the population of public school students in resident and non-resident school districts between the 2005-06 and…