The adaptive learning problem concerns how to create an individualized learning plan (also referred to as a learning policy) that chooses the most appropriate learning materials based on a learner's latent traits. In this article, we study an important yet less-addressed adaptive learning problem--one that assumes continuous latent traits.…

The literature on teachers' unions is relatively silent about the role of union strength in affecting important outcomes, due in large part to the difficulty in measuring union strength. In this article, we illustrate a method for obtaining valid, reliable, and replicable measures of union strength through the use of a Partial Independence Item…

For RCTs of education interventions, it is often of interest to estimate associations between student and mediating teacher practice outcomes, to examine the extent to which the study's conceptual model is supported by the data, and to identify specific mediators that are most associated with student learning. This article develops statistical…

There is increased interest in value-added models relying on longitudinal student-level test score data to isolate teachers' contributions to student achievement. The complex linkage of students to teachers as students progress through grades poses both substantive and computational challenges. This article introduces a multivariate Bayesian…

The authors propose a strategy for studying the effects of time-varying instructional treatments on repeatedly observed student achievement. This approach responds to three challenges: (a) The yearly reallocation of students to classrooms and teachers creates a complex structure of dependence among responses; (b) a child's learning outcome under a…

The relationship between hierarchical linear modeling (HLM) notation and mixed model notation is illustrated by explicitly mapping the parameters across notations for a concrete example involving the hierarchical modeling of change. (Author/SLD)

Provides a general mathematical framework is provided that can be specialized to four different reliability coefficients. Consideration of this general framework makes it easier to convey to students the individual character of the formulations of reliability and the extent of their underlying similarity. (SLD)

This article describes the construction of instruments for evaluating statistics texts that are grounded in the statistical education and text evaluation literatures. Student, instructor, and expert evaluator instruments were piloted with 36 graduate students and 5 faculty members. Results suggest the usefulness of the developed instruments. (SLD)

Across Ohio students enter school with great disparity in skills and knowledge. The real challenge for schools is how to add "value" to ensure that students received at least one year of growth for one year of schooling. By focusing on the needs of each individual student we can make certain they receive the type of instruction they…

Inference for causal effects is a critical activity in many branches of science and public policy. The field of statistics is the one field most suited to address such problems, whether from designed experiments or observational studies. Consequently, it is arguably essential that departments of statistics teach courses in causal inference to both…

A review of 501 articles and 29 dissertations on teaching statistics found that less than 30% reported the results of empirical studies. A large part of the nonempirical literature is devoted to descriptions of statistics courses and lessons that, although untested, can be a resource for teaching. (SLD)

Robinson interviews Howard Wainer, a scientist, who graduated from Rensselaer Polytechnic Institute in 1965 and Princeton in 1968 with degrees in mathematics and psychometrics, respectively. He taught at Temple University and The University of Chicago before moving to the Bureau of Social Science Research during the Carter Administration. Wainer…

Several classroom demonstrations are described that have sparked student involvement in undergraduate courses in probability and statistics. These demonstrations involve experimentation using exams and statistical analysis and adjustment of exam scores. (Author/SLD)