This article presents a latent class model for multilevel data to identify latent subgroups and estimate heterogeneous treatment effects. Unlike sequential approaches that partition data first and then estimate average treatment effects (ATEs) within classes, we employ a Bayesian procedure to jointly estimate mixing probability, selection, and…

Policymakers have grown increasingly interested in how experimental results may generalize to a larger population. However, recently developed propensity score-based methods are limited by small sample sizes, where the experimental study is generalized to a population that is at least 20 times larger. This is particularly problematic for methods…

A primary purpose of cognitive diagnosis models (CDMs) is to classify examinees based on their attribute patterns. The Q-matrix (Tatsuoka, 1985), a common component of all CDMs, specifies the relationship between the set of required dichotomous attributes and the test items. Since a Q-matrix is often developed by content-knowledge experts and can…

The federal government's Race to the Top competition has promoted the adoption of test-based value-added measures (VAMs) of performance as a component of teacher evaluations throughout many states, but the validity of these measures has been controversial among researchers and widely contested by teachers' unions. A key concern is the extent to…

Many students graduate from high school unprepared for the rigorous reading required in entry-level college and career work. This brief builds on a recent report (Wilkins et al. 2010) that used the Lexile measure (a method for measuring the reading difficulty of prose text and the reading capability of individuals) to estimate the proportion of…

On January 8, 2002, the federal Elementary and Secondary Education Act (ESEA) was reauthorized as the No Child Left Behind Act (NCLB). NCLB required states to establish a single accountability system that includes every school and district. Rhode Island proposed an accountability model incorporating NCLB requirements to the US Department of…

Parents can encourage their children to become better mathematical thinkers. The article describes how to assist children with problem solving and presents activities that develop specific skills (estimating, counting, sorting, volume, fractions, multiplication, money, story problems, patterning, averaging, computation, magic squares, plane…

Provides a bibliography of children's literature exploring mathematical concepts: classification; place value and numeration systems; counting, addition, and subtraction; multiplication and division; fractions; estimation; big numbers; geometry; measurement; and games and puzzles. Highlights one book for each concept, suggests class activities,…