Chapter 12 - Analysis of Variance

# **12-1 One-Way ANOVA**

* The analysis of variance (ANOVA) methods of this chapter require the F distribution
* The **F distribution** has the following properties:
* The F distribution is NOT symmetric. It is skewed right.
* Values of the F distribution cannot be negative
* The exact shape of the F distribution depends on the 2 different degrees of freedom
* **One way analysis of variance (ANOVA)** is a method of testing the equality of three or more population means by analyzing sample variances. One way analysis of variance is used with data categorized with one factor (or treatment), so there is one characteristic used to separate the sample data into different categories
* Understand that a small p-value (