mantralux, on 14 February 2011 - 11:40 PM, said:
I'd argue that average positions are exactly what gives you the actual formation. It shows you how the players actually positioned themselves, which to me is the actual formation. Starting positions are misleading and mostly based on players preferred positions, not their actual movement....but average positions actually shows player behaviour.
Respectfully, no it doesn't. While I agree that starting position in isolation is also a poor indicator (especially for a player like Tevez who starts forward and comes deep; or Ashley Cole who makes a lot of forward runs), I think that arrows on a formation diagram show formation far better than average positioning does.
It also does
NOT show where the players actually positioned themselves. It shows an average of where they touched the ball. This is not the same thing. It does not show where they tend to place themselves when they defend and it doesn't show where they tend to place themselves when they attack. Furthermore, if they ever change position they completely skew the data (as has been pointed out in the thread).
For Tevez, for example, I think that in general a player in roughly the "centre forward" position with a backwards arrow tells you far more than the average position chart could. If you wanted statistical "proof" for that observation, you would need both a passing chart and some way of observing where players are when they
don't have the ball.
The average position chart shows the average of where a player touched the ball. It is static. It does not show movement - it starts to break down if players swap positions - and it doesn't show what the coach told the player to do or what the player has decided to do.
Average position, like heat maps, passing charts, tackling stats and so much else is a tool - it is not the proof of formation but one piece of evidence amongst many to ascertain player behaviour.
It's like saying that the number of people claiming job seekers' allowance is, absolutely, a figure of unemployment. Of course it gives you a very good idea of the numbers, and can be used as one of the main tools to find out the actual number. But it is not proof sin qua non.
I hate to harp on about Zonal Marking, as I'm pretty sure you've expressed doubts about Michael Cox's methodology before, but I think his description of his formation diagrams provides a better analysis than relying on average position charts:
Quote
Most match reports in national newspapers now feature a ‘diagram’ alongside match reports, demonstrating the positions occupied by the 22 starting players in the relevant match.
Unfortunately, they’re often incorrect – with players in wrong positions or teams in wrong formations – it is not unusual to see a side which lined up 4-3-3 depicted as 4-4-2. This should not be acceptable – if a national newspaper frequently got the name of goalscorers wrong, it would soon lose credibility. The formation played by each team is equally as important (if not more important) to the overall result as the names of goalscorers, so it’s disappointing that such little care is given to the positions of players.
The diagrams uses on this site follow the following rules:
1. They show the players in their ‘actual’ positions on the pitch, generally in the defensive phase of play. Any significant changes when in possession are depicted by movement arrows.
2. The two sides are both displayed across the whole length of the pitch, rather in their own half. This shows their real positions on the pitch, helping to explain which players were up against each other, and which players were generally ‘free’ or in space.
3. The pitches are vertical, rather than horizontal. This makes it easier to imagine how the players will shift when players make natural forward runs, as the play would move ‘vertically’ rather than ‘horizontally’.
4. If a team switches formation halfway through a game, it is the initial starting formation that is used, unless otherwise stated.
5. If a player is substituted before half-time and his replacement plays more minutes of the game, the replacement is shown on the diagram. Otherwise, the starting XIs are shown.
6. It is difficult to represent players who switch position on a diagram (frequently the case with two wingers), so these are simply shown in the position they most regularly occupy, with the switch described in the text.
7. The colours shown are the colours worn by each side in that particular game, unless the teams are hard to differentiate between on the diagram, in which case the colours may be altered slightly.
I've emboldened number 2 as that's the key one. Obviously, number 1 is less helpful, since he is using a subjective reading of the match rather than taking any statistical evidence to accurately position players.
I think that the average position chart obscures what is going on. As
latzee has pointed out (I will have to take his word for it - I didn't see the match) the charts have led to a conclusions which appears to defy observation taking in other factors.
Formation is a pretty abstract construction anyway. It's not about where people were "on average", but how they behaved on the pitch relative to their team mates and opponents in the defensive and offensive phases.
It is not static. There is no "one" formation. And for that reason, I think that arrows offer more to the reader and more for the understanding of the match than simply taking an average.
If we have a different definition of formation then that's fine.