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#327498
I developed a quantitative measure that captures the extent to which the Top 8 drivers transform qualifying results into good race results.

The measure is fairly complicated since it is designed to measure the relative difficulty of transforming one qualifying result into a good race result.

For example, moving from 10th to 9th counts for a lot less than moving from 2nd to 1st. In fact, moving from 2nd to 1st wins you 5 times as many points as moving from 10th to 9th.

And moving from 2nd to 1st wins you 10 times as many points as moving from 20th to 19th.

The idea behind this is that for the top cars it shouldn't be that difficult to overtake the lower-tier cars in midfield so the measure shouldn't reward them for qualifying 15th, beating the Toro Rossos and finishing 12th as much as it rewards them for finishing 3rd, beating a top competitor and finishing 1st.

But there is another caveat:

Since driving at the sharp end of the grid usually = cleaner air and fewer backmarkers to work through, losing one of the Top 3 positions should be heavily penalized.

In fact, my measure penalizes losing pole position the most. If you are in pole and you finish 10th you lose 9 times as many points as you would lose if you started 10th and finished 20th.

Another reason for this is that if you have the car on pole, it should be fast enough to get a good race result. If you fail to get a fast car to get you a good race result you should be heavily penalized. I designed the measure to capture this intuition.

With all that in mind, here is a ranking of the top drivers in terms of how well they did in producing good race results out of their qualifying results through the 1st 10 races of the year:

1. Fernando Alonso

2. Mark Webber

3. Kimi Raikkonen

4. Nico Rosberg

5. Jenson Button

6. Romain Grosjean

7. Seb Vettel (very heavily penalized for failing to score points from pole in 1 race)

8. Lewis Hamilton (heavily penalized for losing 1st from pole position twice and failing to score points from 2nd once)


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I think this is very telling. In the 1st 10 races McLaren really screwed Hamilton up. There were two races in which he fell from pole and one in which he fell from 2nd all the way to 8th. These results are heavily penalized.

Same for Vettel. His score is particularly low after he retired from pole in one of the races. Such a result really wrecks your ranking according to my measure.

I think that's sensible since it's as bad as it gets- you had the car to get it on pole, you had the clean air at the start and you failed to even score a point- massive hit there.

On the flip side, Alonso and Ferrari nailed it. They worked their way up during the races and made very few errors.

I think this is pretty much the story of the 1st half of the season: awesome race performances by Ferrari despite a slow car/poor qualifying, while McLaren failed to capitalize on their remarkable pace early on.

The measure shows exactly this.
#327504
But if you start on pole and end in 10th then you have lost 9 places to good cars, where as if you start 10th and end 20th you have lost 10 places to bad cars but loose less points :-S that does not make sense to me.

Also when you take into account The Grosjean effect, that is not really a drivers fault for a poor showing from that race.
#327508
But if you start on pole and end in 10th then you have lost 9 places to good cars, where as if you start 10th and end 20th you have lost 10 places to bad cars but loose less points :-S that does not make sense to me.

Also when you take into account The Grosjean effect, that is not really a drivers fault for a poor showing from that race.


Not sure if I agree with this and I'd rather not get tangled up in dissecting one part of a multi-dimensional criterion, but I'd say this:

If you qualify 1st, it's likely that your car is faster than the cars behind you. If you qualify 10th, your car is likely faster than the cars behind you. Either way you are losing places to theoretically slower cars, at least in most cases. But that's not even the main point.

When you qualify 10th you face all manner of obstacles that may drop you down the grid- driving in traffic that could result you getting stuck behind a slow car and screwing up your strategy, getting damaged by Kobayashi, getting sprayed with water by the cars ahead of you when it's raining, etc.

When you qualify 1st, the world is yours and screwing up is almost always 100% your/the team's fault. You have clean air, no one slows you down, you are in control of the race pace, you have maximum flexibility with strategy. If you fail to capitalize, you should be punished.

Also, dropping from 1st to 3rd leads to a much larger loss in points relative than dropping from, say, 7th to 10th. Hence, if you drop from 1st to 3rd you have effectively given up a much larger potential reward.

That's the route I chose to go with this measure.

And it can't be perfect. You can tweak with stuff like this all you want. I came up with a general approach- you are rewarded if you beat the strong cars and capitalize on good positions. You are screwed when things are going your way and you/the team messes things up.

So that's the lens through which my rankings should be interpreted. If you would prefer to reward/punish other things or in different ways, you can create a different measure that takes into account the things you think are relevant.
#327553
this doesn't really account for guys qualifying 10th, when their car is capable of at least 3rd. these guys will be credited for moving up the grid when in fact they should have started up the grid. And vice versa. the guy who qualifies on pole with a car that in reality was good for 4th at best. He's dragged the car above its level but will be hard pushed to stay there, he'll get penalised for that. So Im not sure what picture these statistics are giving really.
#327557
I have come to the conclusion that as F1 is a numbers based sport (everyone and everything has to do with mathermatics) as soon as someone says about statistics everyone see's holes in whatever system they come up with.

as zpetrov is finding out at the moment, I like the premise but as I found out resently when I posted some statistics and got shot down it is very annoying.
#327561
Yes credit to zpetrov for coming up with this, I couldn't do anything like that with maths. And it's good to discuss it, maybe see things that weren't immediately aparent.

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