I did say "Error caused by new physical effect. P = 0.15" right in the first comment in this thread. It's just that we don't know enough about the design of the experiment to say much about it. Do you know how the neutrinos were generated/detected?
The neutrino generation is somewhat indirect. Protons are accelerated into graphite, and then the resulting particles are accelerated further in the correct direction so that they decay into muons and muon neutrinos. The muons are quickly lost (muons don't like to interact with much but a few kilometers of solid rock will block most of them). The detector itself is setup to detect specifically the neutrinos which have oscillated into tau neutrinos.
The detector itself is a series of lead plates with interwoven layers of light-sensitive material which has t...
http://www.nature.com/news/2011/110922/full/news.2011.554.html
http://arxiv.org/abs/1109.4897v1
http://usersguidetotheuniverse.com/?p=2169
http://news.ycombinator.com/item?id=3027056
Perhaps the end of the era of the light cone and beginning of the era of the neutrino cone? I'd be curious to see your probability estimates for whether this theory pans out. Or other crackpot hypotheses to explain the results.