Definitely don't follow the ADC notes and join the analog and digital ground planes at the ADC. That works OK for demo boards where the ADC is the only important chip on the PCB, but not for most realistic circuits.
Basically, you should treat an ADC as an analog part. Both the AGND and DGND pins should be connected together and to the (analog) ground plane right at the ADC.
In the ideal situation, you would not use split ground planes. As short circuit said, ot is easier to get wrong that right, and when you get it right the advantage is normally small compared to the same layout without the split ground plane. The best general purpose solution is to use a single ground plane but keep the analog and digital signals separated, relying on the natural tendency of current to follow the path of least inductance to keep the ground currents from interfering. This is much easier with multi layer boards both because you have more freedom in routing and because the signal layers are much closer to the ground/power planes, so the currents are much better confined.
If you do split ground planes the AGND and DGND plane should usually be joined near the power supply -- not the ADC. ADCs and DACs should be located in the analog section. The digital signals from the mixed signal devices need special care. You want to keep them from crossing a break in the ground plane. The ideal situation it to run the back towards the power supply where the ground planes are connected.