On the spectrum? None of your business
Abed is strongly implied to have Asperger Syndrome, an autism spectrum condition.
Although nearly every aspect of his character points to it, an Asperger diagnosis has never been explicitly stated.
This article explores the nature of characters with Asperger Syndrome. It discusses both the officially diagnosed characters and the ones in whom the condition is implied.
Included in the latter category, along with Abed, is Sheldon Cooper from The Big Bang Theory.
The characters are very similar in a number of ways, and the shows' respective writers have both stated that they prefer to withhold any direct reference to Aspergers so that Abed and Sheldon can develop on their own terms rather than be beholden to labels and diagnoses.
This line could be considered Abed’s response to those who want an official diagnosis for the character. It suits him well, since he is well-known to withdraw from the immediate plotline of the show and play jump rope with the fourth wall.
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