What better way to interest students in mathematics than using a Super Bowl® commercial? A Prudential® insurance commercial aired during the Super Bowl in 2013 was the impetus for this lesson (see it here on You-Tube™: http://www.youtube.com/ watch?v=IsNiKGMSHUQ). In the commercial, four hundred people were polled on "How Old Is the Oldest…

Although Sloutsky agrees with our interpretation of our data, he argues that the totality of the evidence supports his claim that children make inductive generalisations on the basis of similarity. Here we take issue with his characterisation of the alternative hypotheses in his informal analysis of the data, and suggest that a thorough Bayesian…

In this paper I present a class of discrete choice models for ordinal response variables based on a generalization of the stereotype model. The stereotype model can be derived and generalized as a random utility model for ordered alternatives. Random utility models can be specified to account for heteroscedastic and correlated utilities. In the…

Evaluates arguments concerning the generality and statistical analysis of single-subject data. Considers the role of philosophy of science in evaluating research methodology. Single-subject data have special relevance for psychologists and educators who focus on the individual but statistical techniques for analyzing data have numerous…

In this paper we propose two interpretations for the discrimination parameter in the two-parameter logistic model (2PLM). The interpretations are based on the relation between the 2PLM and two stochastic models. In the first interpretation, the 2PLM is linked to a diffusion model so that the probability of absorption equals the 2PLM. The…

In the context of a discussion of the use of meta-analysis techniques, two articles take issue with the findings of Casto and Mastropieri concerning effects of early intervention, in particular age-at-start parent involvement, conceptual and methodological problems. The authors of the original article provide rebuttals to the critiques. (JW)

Dismissing research that is not theory driven, hypothesis testing, or generalization producing does injustice to the variety of contributions that qualitative research can make. Studies conducted through qualitative approaches are reviewed to summarize the desirable outcomes that can result. No research model has a monopoly on quality. (SLD)