Sometimes the ANOVA can be difficult for students to understand. Have students go to http://web.utah.edu/stat/introstats/anovaflash.html. Basically this is an ANOVA applet that is designed to help people understand the concept of ANOVAs without having to use numbers. After enabling the flash player on your computer for the applet to work, have the students become familiar with the Visual ANOVA.
Use the plus and minus buttons to increase and decrease the within-group variance of each of the groups. Then drag the red buttons for each of the groups to decrease or increase the between-groups variance of the groups. Have your students contemplate the two following questions:
1. What happens to the F statistic when you increase the within-group variance?
2. What happens to the F statistic when you increase the between-groups variance?
After the students become familiar with how the Visual ANOVA works, have the students read the Visual ANOVA directions and complete the activity.