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Posts tagged with "re-analysing"

Re-Analysing The Championship Quintel* (Part 2)

This entry leads on from the first part and you may wish to have it open while you read this.

 

Had luck not been a factor, the first half of the season up to and including Britain would have had a table like this:

- Vettel, instead of only taking the title lead as he took the championship in Abu Dhabi, would have started by winning Bahrain and therefore leading the championship from the off. The eventual championship contenders (ignoring interlopers) would have been:

 

1) Vettel

2) Alonso

3) Hamilton

4) Button

5) Webber

 

-  In Australia, Hamilton would have gone from 3rd to 2nd, leapfrogging Alonso. In fact, Button and Alonso would have been tied on 24 points, with Webber far behind holding only 10.

1) Vettel

2) Hamilton

3) Alonso and Button

5) Webber

- Vettel would have had 3 wins from 3 starts by the end of Australia. Webber and Hamilton would be tied for 2nd due to Mark's much improved home race. Due to dropping out of the race, Alonso would be behind even Button.

1) Vettel

2) Webber and Hamilton

4) Button

5) Alonso

- Hamilton would have emerged as Vettel's biggest threat by the end of China. Now Webber and Alonso would be tied and Button starts a drop-back from which he never really recovers.

1) Vettel

2) Hamilton

3) Webber and Alonso

5) Button

- Webber finally managed to get clear of Alonso in Spain by winning. The positions stayed the same for Monaco, but Webber has the momentum...

1) Vettel

2) Hamilton

3) Webber

4) Alonso

5) Button

-  ...and with Turkey he passes Vettel for the lead. In fact, since Vettel caused his own crash, Hamilton gains enough points to pass him too. The top 3 are finely poised by this stage, with 5 points between them. Button and Alonso are cast ever further adrift. At Canada, the new, precarious balance is maintained, though Button edges closer to Alonso and Hamilton closes in on Webber...

1) Webber

2) Hamilton

3) Vettel

4) Alonso

5) Button

-  Valencia may have been one of the least luck-influenced races of the season, but Hamilton ends up taking the lead from Webber. Vettel closes to within 2 points of Hamilton, thus re-taking a position from Webber. The same pattern applies to Britain.

1) Hamilton

2) Vettel

3) Webber

4) Button

5) Alonso

 

What you will see from this is that the gut feeling in the paddock that the Red Bulls were the fastest things out there had merit. For much of the early season, Vettel and Webber led, and they were always occupying two of the top three positions.

It is also difficult to see how the title could involve five protagonists in the end, with Button and Alonso slowly being left behind. One wonders if McLaren would have had its momentum subtly shifted towards Hamilton in this situation (Ferrari is unlikely to have been affected the same way as Alonso would probably still have had more points than Massa, subject to Felipe's own luck being analysed in the same fashion as Fernando's has been).

 

Races with net good and bad luck:

Vettel: 2 good, 3 bad, 5 neutral

Webber: 1  good, 2 bad, 7 neutral

Alonso: 3 good, 1  bad, 6 neutral

Hamilton: 1 good, 4 bad, 5 neutral

Button: 7 good, 2 bad, 1 neutral

 

Everyone's campaign was somewhat dependent on both good and bad luck in the first half of the year. Vettel and Webber were slightly unlucky, though both had some good luck as well. However, the bad luck tended to cost more points than they gained when they were lucky.

Alonso had quite a few more lucky races than unlucky ones, but that was a drop in the water compared to Button, whose early campaign practically relied on being lucky...

 

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Re-Analysing the Championship Quintel* Part 1

Warning! Very long entry alert!

 

I recently cross-posted Re-Analysing the Championship Duel from the old wiki to here, which attempted to calculate what would have happened to the 2008 championship if the drivers had been unaffected by such vagaries as mechanical failures, pit-stop mess-ups and stewarding silliness.

 

2009 didn't really invite that sort of analysis because Jenson Button looked like the deserving champion for most of the year, only getting seriously challenged in a mid-season wobble that temporarily brought Rubens Barrichello and both Red Bull drivers into the championship fight.

 

However, 2010 was a very complicated season. It would be interesting to see how, with luck somewhat more equal, it would have panned out. How much of an effect did Red Bull's reliability had? Would Alonso have been as much of a contender if the FIA hadn't acted as it did? Did luck make any difference at all to the McLaren duo?

 

Firstly, a definition of “luck” for the purposes of this entry:

 

  • mechanical failures are considered unlucky unless they were demonstrably caused by bad driving. Any crash resulting from mechanical failure is also luck. This is meant to be a driver's title we're analysing today...

  • crashes obviously caused by another driver(s). Nobody can legislate for those.

  • slow pit stops. The driver is not in a position to do anything about these.

  • pit stops which go wrong in other ways, provided the reason is not the driver making a mistake. This highly intricate area of racing involves some driver skill, but is largely team-dependent.

  • stewarding decisions which are inconsistent with precedent and/or evidence presented. What can a driver do about poor judicial decisions?

  • Penalty-worthy behaviour by other drivers affecting the driver being analysed's performance. Luck isn't always targeted at the championship contender directly...

  • obvious penalty-worthy driving which garners no interest from the stewards is considered lucky if brought to the attention of the viewing public. (Penalty-worthy driving missed by everyone is the sort of fortune that cannot be analysed in this manner).

 

Things which are not considered “luck” for the purposes of this entry:

 

  • mechanical failures caused by contact with any element of trackside furniture. If you treat the car badly, it will break down on you...

  • crashes obviously caused by the driver being analysed, or only involved that driver because an obvious mistake was made by him. In F1, a certain standard of driving is expected.

  • crashes which are racing incidents. It's difficult to tell who is to blame and its exclusion from “luck” is marginal, but one of the skills of being a F1 driver is avoiding this sort of incident, or at least making sure such involvement doesn't end their race.

  • Pit stops which go wrong because the driver made an error (to name the three to come to mind first, missing the pit box, outbraked/stopped seriously short of the pit box or leaves the pits without being given the signal to do so). Yes, pit stops are difficult, but mastering the driving part of them is one of the key skills of a driver.

  • Penalties which are earned and handed out in the correct manner.

  • Incidents where ambiguity over whether a type of incident merits a penalty exists in precedent; the stewards are given the benefit of the doubt (whether that was for or against a penalty) unless it is clear a penalty was merited but not given or vice versa.

  • Being stuck behind another driver (unless that driver breached the blue flag rule). Overtaking is a driver skill usually necessary to take titles.

  • Poor strategy. Not because a driver is necessarily responsible for these but because the consequences tend to be too large to analyse properly.

  • Differences in driving “if only” some piece of luck had/had not happened. It's tough, but it's beyond pure analytical tools to suggest precisely how being treated properly by fate would have affected a driver's performance. The fans of a given driver are better placed to answer that sort of question.

 

I will go through this analysis race-by-race. The analysis is formatted with the cumulative points after each race title. It will be in the format (VET: x WEB: y ALO: z HAM: a BUT: b), with three-letter abbreviations of each driver's surname used to avoid confusion. At Germany and subsequent races, there is an oblique sign between two figures for each driver, depending on which route the FIA had taken in removing the "luck" of blatant team orders which, despite a guilty verdict, received no sporting penalty and should.

 

The first number by each driver underneath the race titles is the number of points actually scored in that race. After that, there is a modifier to take into account the effects of mechanical failures, pit-stop gremlins, bad stewarding and the effects of all these on drivers who would otherwise have finished in a position affecting their points scores. An explanation of all modifiers is given in brackets.

 

Reminder (primarily to self because even now I'm apt to forget what positions are worth in new money): the current points-scoring system goes 25-18-15-12-10-8-6-4-2-1 for 1st through to 10th.

 

I calculate the following fortune-correction for Vettel, Webber, Alonso, Hamilton and Button:

 

Bahrain (VET: 25 WEB: 4 ALO: 18 HAM: 12 BUT: 6)

 

Vettel: 12 + 13 = 25 (spark plug problem slowed him down a lot)

Webber: 4 + 0 = 4 (uneventful race)

Alonso: 25 – 7 = 18 (Vettel slowed due to car trouble)

Hamilton:  15 – 3 = 12 (Vettel slowed due to car trouble)

Button: 6 + 0 = 6 (uneventful race)

 

Australia (VET: 50 WEB: 10 ALO: 24 HAM: 27 BUT: 24)

 

Vettel: DNF + 25 = 25 (brake failure while leading)

Webber: 2 + 6 = 8 (hit by Hamilton twice, Vettel's brakes denied win)

Alonso: 12 - 6 = 6 (clouted by Button, Vettel's brakes denied win, Webber and Hamilton would have been ahead had they been more fortunate concerning crashes)

Hamilton: 8 + 7 = 15 (hit Webber through mechanical failure, hit Webber second time through own fault, Vettel's brakes denied win)

Button: 25 - 7 = 18 (clouted Alonso and Schumacher, surprised pits, Vettel's brakes denied win)

 

Malaysia (VET: 75 WEB: 35 ALO: 24 HAM: 35 BUT: 26)

 

Vettel: 25 + 0 = 25 (uneventful victory)

Webber: 18 + 0 = 25 (uneventful victory)

Alonso: 13/DNF + 0 = 0 (bad quali down to poor strategy, engine failed passing Button)

Hamilton: 8 + 0 = 8 (bad quali down to poor strategy)

Button: 4 - 2 = 2 (bad quali down to poor strategy, Alonso would have beaten him had engine held)

 

China (VET: 81 WEB: 39 ALO: 39 HAM: 70 BUT: 36)

 

Vettel: 6 + 0 = 6 (racing incident with Hamilton, helped force Hamilton wide but possibly caused by Button)

Webber: 4 + 0 = 4 (forced off-track by Hamilton was a third party (Button's fault); ultimately only Button gained)

Alonso: 12 + 3 = 15 (jump-start own fault, but had Button been penalised correctly for Safety Car, a place would have been gained)

Hamilton: 18 + 7 = 25 (racing accident with Vettel, took to grass to avoid hitting Button and Vettel; would have won if Button penalised correctly)

Button: 25 - 15 = 10 (Safety Car bunching-up done erratically and should have been penalised)

 

Spain (VET: 91 WEB: 64 ALO: 57 HAM: 85 BUT: 44)

 

Vettel: 12 – 2 = 10 (Hamilton would have finished ahead without puncture)

Webber: 25 + 0 = 25 (straightforward victory)

Alonso: 18 + 0 = 18 (smooth second)

Hamilton: 14/DNF + 15 = 15 (crash due to puncture while 3rd)

Button: 10 - 2 = 8 (Hamilton would have finished ahead without puncture)

 

Monaco (VET: 109 WEB: 89 ALO: 65 HAM: 95 BUT: 50)

 

Vettel: 18 + 0 = 18 (straighforward second)

Webber: 25 + 0 = 25 (straighforward victory)

Alonso: 8 + 0 = 8 (poor quali own fault)

Hamilton: 10 + 0 = 10 (uneventful fifth)

Button: DNF + 6 = 6 (blocked cooling denies a finish; was behind Schumacher at the time)

 

Turkey (VET: 109 WEB: 114 ALO: 69 HAM: 113 BUT: 65)

 

Vettel: DNF + 0 = 0 (crash own fault)

Webber: 15 + 10 = 25 (hit by Vettel, losing victory)

Alonso: 4 + 0 = 4 (nothing done in the race fits the definition of “luck” given)

Hamilton: 25 – 7 = 18 (Webber would have won if Vettel hadn't hit him)

Button: 18 – 3 = 15 (Webber would have won if Vettel hadn't hit him)

 

Canada (VET: 119 WEB: 132 ALO: 81 HAM: 128 BUT: 80)

 

Vettel: 12 – 2 = 10 (Webber would have finished ahead without the gearbox change)

Webber: 10 + 8 = 18 (5-place gearbox penalty; originally qualified behind Hamilton)

Alonso: 15 – 3 = 12 (Webber would have finished ahead without the gearbox change)

Hamilton: 25 + 0 = 25 (unchallengable victory)

Button: 18 – 3 = 15 (Webber would have finished ahead without the gearbox change)

 

Europe (VET: 144 WEB: 132 ALO: 85 HAM: 146 BUT: 90)

 

Vettel: 25 + 0 = 25 (hit Hamilton)

Webber: DNF + 0 = 0 (crash due to misjudgement)

Alonso: 4 + 0 = 4 (unaffected by chaos round him)

Hamilton: 18 + 0 = 18 (hit by Vettel but didn't lose places, overtaking Safety Car own fault)

Button: 15 - 5 = 10 (should have received a 20s penalty for being too quick under the Safety Car according to Article 16, not 5s)

 

Britain (VET: 159 WEB: 157 ALO: 85 HAM: 164 BUT: 100)

 

Vettel: 6 + 9 = 15 (puncture due to light clash with Hamilton)

Webber: 25 + 0 = 25 (straightforward victory)

Alonso: 0 + 0 = 0 (off own mistake, then pushed off due to Kubica and penalised, hit Liuzzi to get puncture. The bad luck cost him 2 places, but not enough to return Fernando to the points)

Hamilton: 18 + 0 = 0 (uneventful second)

Button: 12 - 2 = 10 (hit Vettel lightly; Vettel would have finished ahead had it not been for the puncture)

 

Germany (VET: 174/177 WEB: 165/167 ALO: 103/85 HAM: 176/179 BUT: 110/112)

 

Vettel: 15 + 0 = 15/18 (boring third)

Webber: 8 + 0 = 8/10 (uneventful sixth)

Alonso: 25 - 7 = 18/0 (only passed Massa through team orders. Correct penalty unclear but pass should not have happened. Therefore 2 numbers given; one if the pass had been reversed and the other if Alonso had been disqualified as the stewards were entitled to do.)

Hamilton: 12 + 0 = 12/15 (uneventful fourth)

Button: 10 + 0 = 10/12 (straightforward fifth)

 

Hungary (VET: 182/185 WEB: 190/192 ALO: 121/103 HAM: 191/194 BUT: 114/116)

 

Vettel: 15 - 7 = 8 (crossed grass verge in pitlane entry and should have been penalised; exceeding maximum gap to Safety Car own fault)

Webber: 25 + 0 = 25 (luck had nothing to do with victory)

Alonso: 18 + 0 = 18 (straightforward second)

Hamilton: DNF + 15 = 15 (gearbox failure; was behind Alonso at the time)

Button: 4 + 0 = 4 (quiet eighth)

 

Belgium (VET: 182/185 WEB: 208/210 ALO: 121/103 HAM: 216/219 BUT: 129/131)

 

Vettel: 0 + 0 = 0 (collisions with Button and Liuzzi own fault)

Webber: 18 + 0 = 18 (straightforward second)

Alonso: DNF + 0 = 0 (T-boned by Barrichello, but walloped barrier by himself later)

Hamilton: 25 + 0 = 25 (win nothing to do with luck)

Button: DNF + 15 = 15 (blameless in collision with Vettel; ahead of Kubica at the time)

 

Italy (VET: 194/197 WEB: 218/220 ALO: 146/128 HAM: 216/219 BUT: 147/149)

 

Vettel: 12 + 0 = 12 (engine issue didn't seem to affect him in the long run)

Webber: 8 + 2 = 10 (held up by Hulkenburg, who should have been penalised for chicane-cutting and wasn't)

Alonso: 25 + 0 = 25 (straightforward win)

Hamilton: DNF + 0 = 0 (caused own crash)

Button: 18 + 0 = 18 (straightforward second)

 

Singapore (VET: 212/215 WEB: 233/235 ALO: 171/153 HAM: 216/219 BUT: 159/161)

 

Vettel: 18 + 0 = 18 (lost no places when anti-stall kicked in during the pitstop)

Webber: 15 + 0 = 15 (racing incident with Hamilton)

Alonso: 25 + 0 = 25 (easy win)

Hamilton: DNF + 0 = 0 (racing incident colliding with Webber)

Button: 12 + 0 = 12 (quiet 4th)

 

Japan (VET: 237/240 WEB: 251/253 ALO: 183/165 HAM: 231/234 BUT: 167/171)

 

Vettel: 25 + 0 = 25 (straightforward win)

Webber: 18 + 0 = 18 (quiet second)

Alonso: 15 – 3 = 12 (Hamilton would have beaten him without the gearbox penalty)

Hamilton: 10 + 5 = 15 (5-place grid drop; qualified behind Webber)

Button: 12 – 2 = 10 (Hamilton would have beaten him without the gearbox penalty)

 

Korea (VET: 255/258 WEB: 251/253 ALO: 198/180 HAM: 246/249 BUT: 167/171)

 

Vettel: DNF + 18 = 18 (Alonso would have beaten him if it weren't for a stuck wheel nut, but ahead of everyone else when engine blew)

Webber: DNF + 0 = 0 (crashed by himself)

Alonso: 25 + 0 = 25 (stuck wheel nut only reason wasn't ahead of Vettel when Sebastian's engine blew)

Hamilton: 18 – 3 = 15 (Vettel's engine blew)

Button: 0 - 0 (Vettel's engine blew, but Button was already out of the points by then)

 

Brazil (VET: 280/283 WEB: 269/271 ALO: 213/192 HAM: 258/261 BUT: 177/179)

 

Vettel: 25 + 0 = 25 (luck didn't affect any of the championship contenders this race)

Webber: 18 + 0 = 18 (ditto)

Alonso: 15 + 0 = 15 (ditto)

Hamilton: 12 + 0 = 12 (ditto)

Button: 10 + 0 = 10 (ditto)

 

Abu Dhabi (VET: 305/308 WEB: 273/275 ALO: 219/198 HAM: 276/279 BUT: 193/195)

 

Vettel: 25 + 0 = 25 (straightforward victory)

Webber: 4 + 0 = 4 (hit barrier that necessitated tyre change through own error)

Alonso: 6 + 0 = 6 (poor strategy outside scope of analysis)

Hamilton: 18 + 0 = 18 (straightforward second)

Button: 15 + 0 = 15 (uneventful third)

 

I will complete the analysis (and correct this one if need be) tomorrow.

 

* - Until someone comes up with a proper word for the five-man equivalent of “duel”, this will have to do.

 

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Re-Analysing The Championship Duel

Warning! Long entry alert!

This entry was inspired by a question asked by Lonny at F1 Insight. He wondered if Felipe Massa would have been champion if his engine failures and pit lane problem in Singapore had been taken into account, irrespective of the stewarding against Hamilton. As promised, I decided to do the maths.

I started doing a reply and then realised that it was much too long to work as a comment.

The analysis is formatted with the cumulative points after each race title. The original one is given first, then the modified one. A corrected analysis of Singapore changed the results towards the end; while the original is left in for historical purposes, the latter number should be taken as the more accurate final points count. Hamilton's score is always given before Massa's.

The first number by each driver underneath the race titles is the number of points actually scored in that race. After that, there is a modifier to take into account the effects of mechanical failures, pit-stop gremlins, bad stewarding and the effects of all these on drivers who would otherwise have finished in a position affecting their points scores. An explanation of all modifiers is given in brackets.

I calculate the following fortune-correction for Massa and Hamilton:

Australia (10-0 becomes 10-2)

Hamilton 10 + 0 (easy victory)

Massa 0 + 2 (engine failure while in 7th)

Malaysia (14-0 becomes 16-2)

Hamilton 4 + 2 (lost 15 seconds in botched McLaren pit stop)

Massa 0 + 0 (spun off on his own accord)

Bahrain (14-10 becomes 16-12)

Hamilton 0 + 0 (he clouted Alonso himself)

Massa 10 + 0 (easy victory)

Spain (20-18 becomes 22-20)

Hamilton 6 + 0 (uneventful third)

Massa 8 + 0 (uneventful second)

Turkey (28-28 becomes 30-30)

Hamilton 8 + 0 (uneventful second)

Massa 10 + 0 (easy victory)

Monaco (38-34 becomes 40-36)

Hamilton 10 + 0 (non-controversial victory, apart from the crash that he was lucky to drive away from)

Massa 6 + 0 (equally non-controversial second or third, as Nick subsequently corrected me)

Canada (38-38 becomes 40-41)

Hamilton 0 + 0 (he crashed of his own accord)

Massa 4 + 1 (lost a pitstop worth of time due to not being fuelable in first stop, a drama missed due to Hamilton's collision, but Raikkonen would have been ahead of him were it not for being hit by Hamilton. Net gain of one point.)

France (38-48 becomes 40-49)

Hamilton 0 + 0 (the chicane-cut rule may be woolly, but none of the known official interpretations permit the first-lap chicane-cut Hamilton did)

Massa 10 - 2 (would have been second but for Raikkonen's exhaust problem)

Britain (48-48 becomes 50-49)

Hamilton 10 + 0 (he won without controversy)

Massa 0 + 0 (he did all his own spins)

Germany (58-54 becomes 60-55)

Hamilton 10 + 0 (he won despite a tactical error)

Massa 6 + 0 (uneventful third)

Hungary (62-54 becomes 63-65)

Hamilton 4 - 1 (would have lost a position if Massa's engine had held. The potential win was lost by his own error)

Massa 0 + 10 (lost victory due to an engine failure)

Europe (70-64 becomes 71-73)

Hamilton 8 + 2 (would have gained Massa's place had a correct penalty been awarded)

Massa 10 - 2 (would have lost a pitstop had he been penalised correctly for unsafe release)

Belgium (76-74 becomes 83-81)

Hamilton 6 + 4 (controversial chicane-cut; on strict interpretation no modification should occur, but on the wording of the interpretations used both before and after the incident, Hamilton had given the place back and waited until Raikkonen erred before going through)

Massa 10 - 2 (would have lost the win if Hamilton had been adjudged by convention accurately instead of a misinterpretation of a post-dated interpretation)

Italy (78-77 becomes 83-84)

Hamilton 2 - 2 (should have been penalised for a chicane-cut against Heidfeld)

Massa 3 + 0 (uneventful sixth)

Singapore (84-77 becomes 91-85 or 91-87)

Hamilton 6 + 2 (Rosberg only finished ahead due to a slow penalty issue)

Massa 0 + 1 [3]
Original analysis comment:(he should have come out about ten seconds ahead of Raikkonen, but Raikkonen himself was sixteenth after all that. Giving Massa ten seconds more only promoted him to tenth, which would have become eighth after Trulli's retirement and Fisichella's performance fading)

Updated analysis comment(he should have come out one stoppage period ahead of Sutil. This would have promoted him to eighth, which makes him sixth after Trulli and Fisichella are taken into account)

Japan (84-79 becomes 93-85 or 93-87)

Hamilton 0 + 2 (the Massa/Bourdais thing wouldn't have been enough in itself to promote him any places as he was too far behind. The collection of penalisable incidents would have raised him one position, but he needed three more to gain a place. However, he should not have been hit by Massa in the first place and did nothing to earn the penalty issued to him from that incident. 43 seconds lost there. This gives him a net position of 7th, just behind Bourdais)

Massa 2 - 2 (should have received the penalty Bourdais got for the crash between them. Also should have been penalised for causing an avoidable collision in addition to one for a chicane-skip and another one for using a sterile area to pass Webber)

China (94-87 becomes 103-93 or 103-95)

Hamilton 10 + 0 (easy victory)

Massa 8 + 0 (technically receiving the position back from Raikkonen is against the Regulations, but convention says that in this situation it's OK. If I am to say Hamilton should not have been penalised for Spa, then I should also say that Massa was correctly unpenalised for this irrespective of my feelings about team orders)

Brazil (98-97 becomes 107-103 or 107-105)

Hamilton 4 + 0 (uneventful fifth from the perspective of this analysis)

Massa 10 + 0 (easy win)

The conclusion is that the gap was three [one if the updated score is used] points smaller than it would have been with all reliability issues, stewarding mishaps and so on taken into account. It remains in Hamilton's favour.
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