This study considers probability models as tools for both making informal statistical inferences and building stronger conceptual connections between data and chance topics in teaching statistics. In this paper, we aim to explore pre-service mathematics teachers' use of probability models for a chance game, where the sum of two dice matters in…

The Scientific Method is the series of processes by which hypotheses, ideas and theories are shown to be true beyond a reasonable scientific doubt. Most science "fact" is expressed in terms of probabilities rather than certainties. Thus, by means of statistical calculations, researchers aim to determine whether an observed association…

This article addresses performance assessments that involve collaboration among students. We apply the Hawkes process to infer whether the actions of one student are associated with increased probability of further actions by his/her partner(s) in the near future. This leads to an intuitive notion of engagement among collaborators, and we consider…

This study tested a theory of planned behavior (TPB)-based model in predicting human papillomavirus (HPV) vaccination intentions and series completion among university students. A nonexperimental, cross-sectional design was utilized with a convenience sample of 281 university students, including 40.9% nonvaccinees, 19.6% vaccine initiators, and…

This report provides an analysis of employer-supported training in Australia. Employer-supported training is the largest share of adult education and training in all Organisation for Economic Co-operation and Development (OECD) countries. It has benefits for individuals, firms, and society. Cross-country studies have shown a positive association…

In a highly systematic literature, researchers have investigated the manner in which people make feature inferences in paradigms involving uncertain categorizations (e.g., Griffiths, Hayes, & Newell, 2012; Murphy & Ross, 1994, 2007, 2010a). Although researchers have discussed the implications of the results for models of categorization and…

Classification consistency and accuracy are viewed as important indicators for evaluating the reliability and validity of classification results in cognitive diagnostic assessment (CDA). Pattern-level classification consistency and accuracy indices were introduced by Cui, Gierl, and Chang. However, the indices at the attribute level have not yet…

We walk through a module intended for undergraduates in mathematics, with the focus of finding the best strategies for competing in the Showcase Showdown on the game show "The Price Is Right." Students should have completed one semester of calculus, as well as some probability. We also give numerous suggestions for further questions that…

We propose an introduction to the Laplace transform in which Riemann sums are used to approximate the expected net change in a function, assuming that it quantifies a process that can terminate at random. We assume only a basic understanding of probability.

Theories of relational concept acquisition (e.g., schema induction) based on structured intersection discovery predict that relational concepts with a probabilistic (i.e., family resemblance) structure ought to be extremely difficult to learn. We report four experiments testing this prediction by investigating conditions hypothesized to facilitate…

Recently, Stephen Gorard has outlined strong objections to the use of significance testing in social research. He has argued, first, that as the samples used in social research are almost always non-random it is not possible to use inferential statistical techniques and, second, that even if a truly random sample were achieved, the logic behind…

We analyzed 2010 US National Emergency Department Sample data and ran regression models to test the hypotheses that individuals with ASD are more likely to have non-traumatic dental condition (NTDC)-related emergency department (ED) visits and to incur greater costs for these visits than those without ASD. There were nearly 2.3 million…

The effective evaluation of correctional programs is critically important. However, research in corrections rarely allows for the randomization of offenders to conditions of the study. This limitation compromises internal validity, and thus, causal conclusions can rarely be drawn. Increasingly, researchers are employing propensity score matching…

Anxiety prepares an organism for dealing with threats by recruiting cognitive resources to process information about the threat, and by engaging physiological systems to prepare a response. Heightened trait anxiety is associated with biases in both these processes: high trait-anxious individuals tend to report heightened risk perceptions, and…

The 2001 No Child Left Behind Act (NCLB) increased accountability pressure in U.S. public schools by threatening to impose sanctions on Title-1 schools that failed to make adequate yearly progress (AYP) in consecutive years. Difference-in-difference estimates of the effect of failing AYP in the first year of NCLB on teacher effort in the…