You don't obtain the data, and then decide what statistic to use. That is one of the cardinal rules of statistics.
I didn't see you watching over my shoulder as I wrote this article.
How did you do that? 
The statistics are chosen based upon the criteria many people pick when judging overtaking.
Passing a HRT 23 times (in Vettel's case) is pretty irrelevant and uninspiring, so I factor in what's more telling.
Again, if you think it unreasonable, please provide me with what you consider better criteria.
That's why it cuts down more and more to which level of car was overtaken in which circumstances.
For instance, I more value Hamilton's overtake on Hülkenberg on pretty equal tires in Spain for 11th, then Button's overtake on Räikkönen for third, with the Lotus tires' having fallen off the cliff.
You're posting your discussion in the thread as you do it. I don't need to be looking over your shoulder. Your discussion shows a classic case of someone who doesn't understand how to handle statistics.
If you collect your data, and then say what if I calculated the statistics this way, or that way, would it be more accurate, you're doing it in the knowledge of what the data is. Hence there's no way you can distinguish yourself whether or not you're looking for methods of calculating the statistic that are "better", or whether you are simply finding statistics that meet your preconceived notions of who is the better overtaker or what the order is. There is plenty of research that shows that people do this, and it is often subconscious, so there's no way you can say whether you are doing this or not.
If you think that just counting the overtakes isn't the most accurate way of calculating a statistic that represents how good a driver is at overtaking, then work out how it should be calculated, make sure that it can be calculated with no subjective interpretation necessary, publish it openly, then use it on the data collected from the races in 2013. That's the way to do things. Because in that way there is no possibility that the choice of the most "accurate" statistic out of many was chosen because it matches your (or various groups of people) preconceptions.
Exactly, there are so many problems related to trying to divide the true, factual, inarguable statistics into non-statistical manipulation of numbers. There are too many factors that have an input that cannot be ignored such as:
- Certain tracks lend themselves to overtaking, others do not. An example of this would be that it may be relatively simply for, say, a McLaren to overtake a Toro Rosso at Austin, but not at Monaco. So what is of more value if indicating a better overtaker? 4 passes on track at Monaco or 6 passes on track at Austin?
- Different track conditions / temperatures etc. suit certain cars, which can have real deviation of performance dependent on these factors. So an overtake on a Lotus at one track may be easier or harder than the next track depending on those conditions.
- Some tracks favour engine power whilst others favour aero design. See above for example.
- Different levels of car evolution throughout the season.
-Two or three uncharacteristically poor qualifying positions in a season can make a lot of overtakes possible in few races, skewing the statistics dependent on the data gathered.
These are fun for having a look at and a bit of discussion about, but to repeat again, I am not comfortable with these different sets of data being described as 'statistics', because they're not really.
As I've always said, a true quantitative statistic will tell you the
existence of a phenomena whereas qualitative analysis is what will tell you the
reason for the existence of that phenomena. Quantitative and qualitative analysis are useless in isolation, as it relates to F1 anyway. You
need both to tell the full story, as you do in any non-spec series (and even in a spec series you have set-up deviation so quantitative analysis on its own is still only of limited use).
Favourite racing series: F1, Indycar, NASCAR, GP2, F3, Formula E, Trophee Andros, DTM, WTCC, BTCC, World Endurance... etc. etc.