If you are level 11 (or above) and you take the Extra Rogue Talent feat (as rogue), can you pick an advanced talent instead of just a normal rogue talent?
It is unclear
The Rogue Talent class ability says:
As a rogue gains experience, she learns a number of talents that aid her and confound her foes. Starting at 2nd level, a rogue gains one rogue talent. She gains an additional rogue talent for every 2 levels of rogue attained after 2nd level.
The feat Extra Rogue Talent says:
Benefit: You gain one additional rogue talent. You must meet all of the prerequisites for this rogue talent.
Finally, the Advanced Talents class ability says:
At 10th level, and every two levels thereafter, a rogue can choose one of the following advanced talents in place of a rogue talent.
I bolded the relevant parts, which state that the rogue talents gained every 2 levels can be advanced talents, and you replace a talent normally gained at those levels by an advanced talent instead. This is controversial, however, and I have never seen any developer comment stating whether the Extra Talent should allow you to get advanced talents or not.
The only reference of rogue talents and advanced talents being different is on the (optional) retraining rules:
Rogue: Retrain one rogue talent or advanced rogue talent.
For the feat to work for advanced talents, it would have to mention something about it, similar to the wording about how Paladins add new Mercies to their list of options as they level up instead of modifying the Mercy class ability to allow you to pick more options every n levels.
However, I know that many GMs allow you to pick a new Advanced Talent when taking that feat after 11th level, just like allowing Major and Grand hexes for witches, or Master tricks for ninja, etc. The game doesn't really break apart because of that, and those classes (except the witch) should get some help to be competitive at later levels.
The Extra Amplification talent, for instance, says that this extra phrenic amplification cannot be a Major Amplification. The psychic class mechanic is similar to the Rogue's talents ability, except they are gained every 3 levels.
You gain one additional phrenic amplification. This can’t be a major amplification.
With this in mind, I personally would allow you to take Extra Talent to add an extra advanced talent to your character.