MANOVA

Imagine you love baking cookies and invite your friends over for a cookie party. You want to know how many cookies you should make so you ask your friends about how many cookies they think they will each eat. They respond:

• Francesca: 5 cookies
• Sydney: 3 cookies
• Noelle: 1 cookie
• James: 7 cookies
• Brooke: 2 cookies

We take these numbers and add all of them together to estimate that about 18 cookies will be eaten in total at our party.

Multivariate Multiple Regression is a method of modeling multiple responses, or dependent variables, with a single set of predictor variables. For example, we might want to model both math and reading SAT scores as a function of gender, race, parent income, and so forth. This allows us to evaluate the relationship of, say, gender with each score. You may be thinking, "why not just run separate regressions for each dependent variable?" That's actually a good idea! And in fact that's pretty much what multivariate multiple regression does.