Page 223 - Statistics II for Dummies

Chapter 12

Regression and ANOVA:

Surprise Relatives!

In This Chapter
▶ Rewriting a regression line as an ANOVA model
▶ Connecting regression equations to the ANOVA table

o you’re motoring on in your Stats II course, working your way through
Sregression (where you estimate y using one or more x variables; see
Chapter 4). Then you hit a new topic, ANOVA, which stands for analysis of
variance and refers to comparing the means of several populations (see
Chapter 9). That seems to be no problem. But wait a minute; now your pro-
fessor starts talking about how ANOVA is related to regression, and suddenly
everything starts to spin out of control. How do you reconcile two techniques
that appear to be as different as apples and oranges? That’s what this chap-
ter is all about.

Think of this chapter as your bridge across the gap between simple linear
regression and ANOVA, allowing you to walk smoothly across, answering
any questions that a professor may throw your way. Keep in mind that you
don’t actually apply these two techniques in this chapter (you can find that
information in Chapters 4 and 9); the goal of this chapter is to determine and
describe the relationship between regression and ANOVA so they don’t look
quite so much like an apple and an orange.

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