Increased importance is being placed on statistics at both the K-12 and undergraduate level. Research divulging effective methods to teach specific statistical concepts is still widely sought after. In this paper, we focus on best practices for teaching topics in nonparametric statistics at the undergraduate level. To motivate the work, we…

Using a novel design approach, a randomized experiment (RE) was embedded within a regression discontinuity (RD) design (R-RE-D) to evaluate the impact of developmental mathematics at a large midwestern college ("n" = 2,122). Within a region of uncertainty near the cut-score, estimates of benefit from a prospective RE were closely…

This study was conducted with 93 freshmen and 82 senior prospective mathematicians and mathematics teachers in order to investigate how they construct and evaluate proofs and whether there are any significant differences in their proof construction (with respect to department and grade) and proof evaluation (with respect to department)…

A family of integrals over infinite intervals appears frequently in the statistical literature on non-parametric regression. This note presents two simple transform methods, based on beta function and Parseval identity, to explicitly evaluate these integrals. These methods will benefit researchers and practitioners working in non-parametric…

This is the second half of the course described in SE 013 166. The chapter headings are: (10) Sample surveys; (11) Analysis of variance; (12) Use of analysis of variance for adjustment of data; (13) Exploratory data analysis; (14) Plotting and computing; (15) Logit regression for binary data; (16) Transformations and distribution-free inference;…

NCES (1996) reported that almost one-third of all students entering colleges and universities are unprepared for college coursework and therefore required to enroll in developmental courses. This study focused on developmental and regular mathematics courses at the University of Arkansas at Monticello. Using final mathematics grades from the…