 In order to understand the structure of the adjectival phrase, let us deal with the construction quite happy with the results. Clearly, quite is a degree adverb which modifies the adjective happy. So the head is the adjective and we get an adjectival phrase. But what if we want to add the prepositional phrase with the results, which we do not analyze any further here but present just as a triangle? Why do we put it? Clearly, it must form a constituent with happy. Just apply the proform test. We can replace quite happy with the results by quite like it or quite so. In other words, we have to redraw the tree. So let's do it. Again, first of all the categorical analysis has to be performed and then the phrasal analysis. As a result, we now have two adjectival phrases. The big one with a degree adverb as a modifier and the small one with a head and an optional extension. So how shall we call the intermediate constituent? The suggestion made by Noam Chomsky in 1970 was a bar. Today more conveniently spelled as a with an apostrophe.