Is it possible to see the popularity based on response from social media? Yes sort of. Using keywords and hashtags gathered from twitter, there is an "Anime Social Graph" from ANIMEMAP.
The graphs only take anime series that air from this spring season 2012, therefore other ongoing ones from previous seasons are not accounted for.
Second season of Fate/Zero has consistent peaks whenever it's near the airing time (or shortly the time after), and the peaks tend to increase as the series come closer to a showdown with the penultimate episode aired last weekend generating the most talk on twitter.
Haiyore! Nyaruko-san has a bit of ups and downs, with a couple of episodes causing some peaks before slowly descending down.
Hyouka, on the other hand, seems to be talked much less than the two mentioned above, with the most talked during the first episode.
While these are interesting observations, they don't necessarily represent a very clear popularity of this season's anime, as only tweets with specific keywords and hashtags are collected (see here for table and data). Other common methods are by view rates as well as DVD/BD sales thereafter, but taking a look at people mentioning the anime they watch on places like twitter is an interesting one as the series airs over the season. You can see the individual graphs of each anime series by clicking on their one-letter/kana name at the top of the table.
What are you watching in this season right now? I'm only watching Fate/Zero and Nyaruko-san at the moment, but I may pick up Accel World as well later on (graph here for those who are interested).
But of course, these don't always necessarily tell you which are better anime over the others; one may like those that don't seem to stand out or talked as much as the big ones out there. It's really down to our personal tastes and preferences at the end of the day~ ^^
All images are from ANIMEMAP via Gigazine
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