The AP Statistics course is designed to mimic a traditional college-level introductory statistics class. Students are expected to use z-tests for proportions, t-tests for means and slopes, and chi-square tests for distributions of categorical data. There are at least three good reasons to incorporate simulation-based inference methods in the AP course, however.[pullquote]Doing these simulations takes time up-front, but helping students understand the logic of inference through simulation saves time in the long-run.[/pullquote]
Josh Tabor, Canyon del Oro High School
Short answer: I teach with simulation-based methods because I believe they make it easier for students to understand the logic of inference and see statistics as a complete investigative process from asking questions to drawing conclusions.
I settled on two guiding principles that would inform the way I designed the course:
- Emphasize that Statistics is an investigative process, not a set of isolated skills.
- Stay focused on the logic of inference.