Directed projects in a mathematical statistics course

Abstract

In this chapter we present a model for using case studies for the core of an undergraduate theoretical statistics course. These case studies have more depth than most examples found in typical mathematical statistics texts. Each case study provides a real-world question to be addressed as well as background information on the question, data to address the problem, and suggestions for investigating the problem. An important goal is to encourage and develop statistical thinking. This chapter provides both a sample case study on quality control and analysis of variance and a directed project on experimental design that includes a discussion of how we have changed the class to fit these activities into the course. In essence, the case studies become the centerpiece of the course, and as a result, the curriculum, lectures, and assignments are significantly different from a traditional mathematical statistics course.