So what court does have the highest rate?
I smell somebody playing games with statistics here. For example, over what period of time are the writers of the article measuring reversal rate? As per this national review article from 2014: http://www.nationalreview.com/bench-memos/373273/ninth-circuit-leading-pack-most-reversed-jonathan-keim
the 9th Circuit does have the highest reversal rate.
What's missing in the politifact article, is the number of cases from each circuit that make it to the USSC in the first place. In the NR article you posted, they point out that the 9th Circus has historically had many more cases reversed at the USSC, than other courts even had
before the USSC.
So, for example, if the Xth Circuit has one case before the USSC and it gets reversed, they have a 100% reversal rate.
And if (as in 2010) the 9th Circus has 24 cases before the USSC and 19 of them are reversed, that's only a 79% reversal rate.
Which court is truly the "most reversed?"
If each Circuit handles roughly the same number of cases yearly, and one of them a) gets more cases appealed to the USSC, and b) most of those get reversed .... then
that is how one could call the 9th Circuit the "most reversed."
Even so, the 9th Circuit handles dozens and dozens of cases every year, and the number that get overturned by the USSC is a very small fraction of that.