"For eons man has found itself in a quandry: are pretzels, chocolate, cheez-its, popcorn, or bannas more addictive? A ragtag team of disenfranchised researchers think that cheez-its are substantially more addictive than any of the other options. They run a laboratory test with 2000 students who came for free food, and give each of the students the 5 kinds of food in a randomized order. They then test the addictivity of the food through a number of measures, including a questionaire, a phisiological assessment of how much distress the students were under from not being able to eat more of the food, and a video camera monitoring the students' expressions. The researchers compile all the tests, and produce a single ""addictivity value"" towards each of the foods, on a 1-10 scale. What test would the researchers use to test their hypothesis?"
Between Subjects One-Way ANOVA