# Independence assumption of one-way ANOVA

Let's say that I am interested in how exam test score varies with a person's height. To do this, I take a sample from a school, and then I split this sample into two categories, (1) shorter than 165cm and (2) taller than or equal to 165cm. I then perform a one-way ANOVA test to compare the mean exam test score in the two subgroups.

With this setup, are the observations in the two groups independent?

• You should not binarize the continuous heightvariable. Keep it as is, and use a regression model. – kjetil b halvorsen Dec 6 '19 at 4:08