Right, I've had a bit of time to go over the paper. The math may well be sound, but the torturous method used to get to the numbers are flawed.
I'll pick a case in point.
According to the paper, Schumacher was rated highly, until his Mercedes days when Rosberg beat him.
Michael Schumacher, who holds the record for the most championships and race victories of any driver in Formula 1, comes in a relatively modest eighth place. This is in part because those victories were won in an excellent car, but also because his ranking is dragged down by his more recent post-retirement performances (2010-2012) when he performed less well than in the main part of his career and crucially was generally outperformed by his Mercedes teammate Nico Rosberg. Thus, we re-ran the analysis with the latter section of Schumacher’s career treated as a separate driver. In this formulation, pre-2006 Schumacher’s ranking rises to 3rd and Nico Rosberg’s ranking falls from 13th to 49th. This is because Schumacher’s high standing as a driver in the model effectively deflated 2010-2012 Mercedes’ team ranking in the first model, meaning Rosberg’s performances appeared more impressive. When treated as separate drivers, post-retirement Schumacher performed less well, the Mercedes team effect appears greater, and so Rosberg’s performances no longer stand out compared to his team
There was no mention of 3 critical factors.
Age, and the fact Schumacher was 41 years old on his return.
Retirement in 2006, leaving him out of the game for 3 years.
Rule changes, which left the Formula very different from the last time he'd raced.
Not being Schumacher's biggest fan, I'm all for displacing his status in the all timers list.
But I cannot do so without being dishonest.
All 3 have not been accommodated in the comparisons, leaving Schumacher in a lowly 8th if the math is to be believed.
My opinion, based on what I've seen and the numbers MS generated, is that he has got to be in the top 3/4 drivers if not maybe higher.
It is not anomalous that he is absent from the top 5, it is because the wrong parameters were set in achieving this lists outcome.
Yes he benefited from some wondrous machinery, but then so has every world champion.
So why is it the math is skewed to accommodate this fact for MS but not others?
Additionally, it adds that drivers who perform better at "street tracks" and in "certain weather conditions" bore out stronger points due to less dependency on the car.
Again it falls flat....
Schumacher won at Monaco 5 times, and was renowned as the "regenmeister" in "certain weather conditions", some of these victories labelled amongst the greatest of all time.
So lets look at who they have labelled the greatest. Christian Fittipaldi. I'll focus on points finishes and "street tracks".
Note, I do not intend to denigrate Fittipaldi here...just adding some perspective.
His first points came in Japan in 1992. He finished 6th, and just for perspective the legendary Aguri Suzuki finishing in 8th and Ukyo Katayama 11th on the same lap.
https://en.wikipedia.org/wiki/1992_Japanese_Grand_Prix
Christian Fittipaldi finished 8th in Monaco in 1992, behind a Larousse Lamborghini of a fairly average Bertrand Gachot.
https://en.wikipedia.org/wiki/1992_Monaco_Grand_Prix
And then creditably, finished 5th in 1993, albeit being an attritional race with 5 of the 7 of the drivers finishing behind him having either qualified behind him or involved in race incidents.
https://en.wikipedia.org/wiki/1993_Monaco_Grand_Prix
In 1994 he was running in 4th before his pitstop, and retired due to a gearbox issue some laps later while running in 5th.
Michele Alboreto running in a Minardi Ford finished in 6th at this race....
https://en.wikipedia.org/wiki/1994_Monaco_Grand_Prix
At Kyalami in 1993, Fittipaldi finished 4th out of a total 5 classified finishers, with the 5th being JJ Lehto in a damaged Sauber. It was a wet race.
https://en.wikipedia.org/wiki/1993_Sout ... Grand_Prix
At the Pacific GP in 1994 he finished a creditable 4th, Erik Comas finished in 6th having qualified 6 places lower.
It should be noted that higher qualified cars suffered mechanical failures at a very high rate at this race.
https://en.wikipedia.org/wiki/1994_Pacific_Grand_Prix
In the German GP of 1994, he finished in 4th again with his teammate(Morbidelli) in 5th 8 seconds down the road, and that man Erik Comas again in a Larousse in 6th.
It did help that 10 cars were wiped of the grid in the first lap due to an almighty collision, and a further 8 cars suffered mechanical failures.
https://en.wikipedia.org/wiki/1994_German_Grand_Prix
So by my reckoning, what is borne out of this is that Fittipaldi was a bit better than Morbidelli, who himself scored an unlikely podium in Aus in 1995(In a Footwork!) at a street circuit in pretty much identical circumstances to Fittipladi's points results.
Further, what is apparent in both cases is the results are formed on the basis of attritional races whereby finishing was the most rewarded aspect. In most these races the car also qualified higher(not universally) than the cars it beat in the race(that finished or suffered an issue and finished). Luck opportunism etc are factors also unaccounted for.
So it's with the respect to Fittipaldi, that I say this list is innacurate, and to the creators of the list, that I say this needs recalibration, re-jigging, reworking, reformatting and rethinking to be taken seriously.
And if Fittipaldi comes out on top again, you know, you just know....you have been asking the maths to calculate the wrong questions.