Interesting question - sometimes I wonder if I were to develop AF , which group of drugs I would chose.
Anticoagulation in AF may be with the newer drugs - apixaban, dabigatran etexilate, rivaroxaban (Factor Xa antagonists) or a vitamin K antagonist - warfarin.
The great advantage of the newer agents is that no routine monitoring is required, and they seem to work as well as warfarin in preventing strokes. Indeed some trials suggest they work a little better.
However it's important to remember that the risk of bleeding (for the newer drugs) is roughly the same as that of warfarin; however unlike warfarin there is no antidote should bleeding occur.
Looking at your results they are nearly all within the therapeutic range of INR 2.0 - 3.0. The 3.8 result was a bit out, but came back by the next test.
Poor control would be indicated by 2 INR greater than 5, or 2 INR less than 1.5 in any six month period.
The best thing to do would be to discuss with your GP whether you fit the criteria for rivaroxaban as it is not suitable for everyone....
http://www.nice.org.uk/guidance/TA256