Actual goals scored is a hard stat and what the game is all about. It's high variance and as you say dependent on finisher/keeper isolated. Thus xG was introduced, to estimate what goals are expected on the finishes the team arrived to.
xG is still high variance, and dependent on the effectiveness of the final pass and the final run, and that the finisher releases a shot. It has just about as little to do with Koeman as actual goals, and it obviously doesn't give the whole picture of the game.
But just as actual goals, it obviously says a lot about the performance, and it is lower in variance than actual goals.
If you don't understand this, it'll go in circles and lead to nothing, but I'll still respond to what you've written, and maybe an xG thread can be started where we can discuss this more.
Your high-low variance point answers already the need to look first at xG, rather than G.
G is more susceptible to luck/randomness/personal idiosyncrasy than xG
If Koeman told the defenders to just kick the opponents on the feet every time they arrived near the box, they wouldn't defend better, but have a much lower non penalty xGA.
If Barcelona started to shoot twice the amount of what they do, their xG would skyrocket, but the goals probably wouldn't
Nonsensical hypothesis, as no team gains something from deliberately handing pens to the opponents
A pen is awarded. It's simple as that.
Something awarded and not produced through the play of the team does not belong to the way the team plays.
Woah woah woah. You say that 0,75 xG usually equals two goals more than 0,75??? Please expand on this.
I have explained it here in the past as well.
A 0.3-0.5 xG shot is a big chance. When I say big, I mean big. You can reasonably expect your attackers to nail such a chance every time it occurs.
Of course not all players, and especially not all below top- level players, have managed to put out such chances.
Hence, the statistical average will never give you something close to 1, which is statistical certainty.
Even an open goal shot is less than 1 in most xG models around, something like 0.9 or so.
Because statistically some blunders in front of the goal have happened and are included in the way models calculate the relative value.
According to this site it was 2,34xG goals in the first half:
https://understat.com/match/15133
One potential good thing with xG is people might start to understand big chances doesn't equal goals...
There are also games which Barcelona did win that they shouldn't have won if both teams converted. You can't pick just one.
Barcelona are on xPTS: 75.33 and actual points: 76, so it is a nice estimation this season for Barcelona.
https://understat.com/league/La_liga/2020
Now, the other important factor to pay attention to is the number combined with the value of each chance.
The rough sum one sees in the xG scoreline says something, but not everything. You can get the entire image of xG output only if you look at the xG map as well.
A team can have a total xG of 1.0 in a game, but there are various ways that can be made up.
For instance, if the team has 20 shots of 0.05 xG each, the sum is 1.0 xG. Same if the team has 2 shots of 0.5 each.
But in the first case, the team did not create a big chance the entire game, rather shot too many times from unfavorable positions.
On the contrary, in the second case, the team created 2 huge chances.
Hence, with the same total xG on the first case you can reasonably expect actual 0 goals, whereas in the second you can reasonably expect 2 goals.
Likewise, if you don't just look at the sum of the first half against Levante, but at the shot map as well, you see that Barca should have scored at least another 3, apart from Pedri goal, in the first half (chances of xG 0.38, 0.3, and 0.41 respectively). Hence, a score of 0-4.
What happened instead is that all 3 of these chances were wasted, but Messi scored a minor chance (xG 0.08) in the first half.
I am talking about statistical significance, ie what is the probability that the change is just variance. Are you familiar with this?
No, expand if you want
He isn't some xG focused maniac wanting to just raise these numbers, he wants to win games through actual goals.
You are putting the cart before the horse.
Coach wants the team to score goals, and is doing the best to optimize and maximize chance creation, because that's the way to score goals.
Whether a coach follows a 'scientific' way of doing this and looks at xG maps (like Tuchel did with Aubameyang) depends on the training methods.
When we judge though, how effective a team was in a game, we have to look at the xG output and the xG shotmap to assess that.
PS: More about stats:
1)
FiveThirtyEight is one of the best sites in stats and predictions.
They have some of the most sophisticated models when it comes to football as well.
Read about the
SPI index they employ, which shows the relative strength of a team.
Then if you go to LaLiga table and order the teams according to SPI, you will see Barca being top.
It's not an accident that all data analytics sites and people this season rate Barca above RM and Atleti.
They know better than the people here who just happen to hate Koeman.
2) A very promising stat FIVETHIRTYEIGHT also provide there is the 'Non-shot xG', which in the future will be as common as xG is today.
the non-shot xG indicates how dangerous a team was around the penalty box of the opposition. It's a more 'back-end' stat compared to xG.
The definition from the link above reads: "Non-shot expected goals are an estimate of how many goals a team “should” have scored based on non-shooting actions they took around the opposing team’s goal: passes, interceptions, take-ons and tackles"
Non-shot xG does not always translate to xG. For example a team can be very active around the box of the opposition, but fail to find the final pass for example that will get translated to a final shot.
For instance, in the last Barca-Atleti the xG (according to the same site) was close 1.0-0.8, with no big chance for either team. But the non-shot xG was 2.0-1.2, which shows that Barca was much more active around Atleti's box, but failed to translate that to chances.
If you casually scroll down all LaLiga games listed there, you will see that Barca almost always dominates the non-shot xG. For instance, in the Barca - Granada the non-shot xG was 4.3-0.3, whereas the xG was 1.8-0.7/