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

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

A simple analysis of variance (or ANOVA) is used to test for the significance of differences between two or more means from the same or different groups. These differences are called main effects. The analysis is termed simple because it tests only one dimension or factor. The obtained F value is a ratio. The numerator, or top number in the ratio, reflects the magnitude of differences between groups. The denominator, or bottom number in the ratio, reflects the magnitude of variability within each group. As the difference between means gets larger or the variability within groups gets smaller, the F ratio increases and becomes less likely to occur ...