The United States currently lags behind globally in the areas of math and science. In order to compete and meet the skills necessary for the future workforce, it has become necessary to seek out instructional strategies that will increase student achievement in those academic areas. With the wide variety of diversity occurring in public schools…

Background: Cluster-randomized experiments that assign intact groups such as schools or school districts to treatment conditions are increasingly common in educational research. Such experiments are inherently multilevel designs whose sensitivity (statistical power and precision of estimates) depends on the variance decomposition across levels.…