Whenever a phrase does not convey a complete thought on its own because it is missing the subject, the verb, or both, it is a sentence fragment. In other words, a fragment is a group of words that looks like a sentence but lacks something essential to make sense. An example of a fragment is: Wants to go (there is no subject).
"In every class" is missing both the verb and the subject, meaning it is incapable of expressing a full idea. Therefore, it is a fragment.
We argue that waiting for experiences tends to be more positive than waiting for possessions. Four studies demonstrate that people derive more happiness from the anticipation of experiential purchases and that waiting for an experience tends to be more pleasurable and exciting than waiting to receive a material good.