In an increasingly data-driven world, it is more important than ever for students as well as professionals to better understand basic statistical concepts. 100 Questions (and Answers) About Statistics addresses the essential questions that students ask about statistics in a concise and accessible way. It is perfect for instructors, students, and practitioners as a supplement to more comprehensive materials, or as a desk reference with quick answers to the most frequently asked questions.

# What Is Factorial Analysis of Variance, and What Is an Example of How It Is Used?

### What Is Factorial Analysis of Variance, and What Is an Example of How It Is Used?

While simple analysis of variance examines differences between groups on a single factor, factorial analysis of variance examines more than one factor at a time. For each factor examined, a main effect for all factors and an interaction effect are tested.

For example, a simple analysis of variance would look at differences in average language skills among third, fifth, and seventh graders. Factorial analysis of variance, on the other hand, might examine average language skills among the same three groups as well as gender. Three levels of language skills and two levels of gender (male and female) would comprise a 2 × 3 research design. The number of factors ...