Showing posts with label World Cup Qualification. Show all posts
Showing posts with label World Cup Qualification. Show all posts

Monday, October 19, 2009

UEFA Playoff Mini-Preview

The draw took place earlier today. The matchups are:
Ireland - France
Portugal - Bosnia-Herzegovina
Greece - Ukraine
Russia - Slovenia

The playoffs will take place November 14th and 18th. The team listed first plays at home first.

I actually had the teams pretty similarly ranked to the FIFA rankings. From best to worst I had it: France, Portugal, Russia, Greece, Ukraine, Slovenia, Ireland and Bosnia-Herzegovina. Bosnia are an interesting case as they rate the best at scoring but are by far the worst defensively. Russia are the best defensively and I was surprised to see them 6th out of these 8 teams when it comes to scoring. Given the rankings, you could say that Portugal and Ukraine were fortunate while Greece and Ireland were the most unlucky. These rankings and the predictions below are all based on matches from both qualifying and the finals of Euro 2008 and the qualifying matches for this world cup.

Predictions

I had to add a bit to the PLM, which I'll write more about later today or tomorrow, in order to get predictions because of the format. The playoff round is played out like the Champions League knockout round. Each team plays a home game, the scores are added together and if a team is ahead at that point they go through. If the two teams have the same number of goals then the team with the most away goals advances (no idea why they say they count double as that's confusing). If the scores in each leg are the same, so the teams are tied with the same number of away goals, then they go to extra time and penalties. The away-goals rule counts in extra time as well so if both teams score a goal then the away team that leg goes through.

A caveat about these predictions. They assume that in the case of extra time and penalties each team is equally likely to win. That's probably not realistic as it seems like the home team in the second leg is more likely to win in those situations. I went with a coin flip because I'm not sure what assumption to make. That's something I'll get into later before I do the full previews for these playoffs. Therefore, you should probably slightly (probably half a percent or so) adjust things to the second team. Also keep in mind that injuries are not taken into account.

Ireland - France:
Ireland: 38.9%
France: 61.1%

Portugal - Bosnia-Herzegovina:
Portugal: 70.5%
Bosnia-Herzegovina: 29.5%

Greece - Ukraine:
Greece: 55.1%
Ukraine: 44.9%

Russia - Slovenia:
Russia: 58.4%
Slovenia: 41.6%

I'm surprised how close a lot of these are to be honest. It shows how much variance there is in a two-legged tie.

Monday, September 7, 2009

CONMEBOL Qualifying - 15 Matches In

Brazil are now mathematically in. Paraguay and Chile are just shy of that. Despite losing to Brazil in convincing fashion, Argentina are still in great shape, though worse than usual for them, because of the other results. In the battle for fifth, or even fourth if Argentina continue to slip up, Colombia came up big with a 2-0 win over Ecuador and Uruguay damaged their own chances with a loss in Peru.

Here is the table:


Here are the remaining schedules for the 4th through 8th teams:

Argentina
Paraguay away
Peru home
Uruguay away

Colombia
Uruguay away
Chile home
Paraguay away

Ecuador
Bolivia away
Uruguay home
Chile away

Paraguay
Argentina home
Venezuela away
Colombia home

Venezuela
Peru home
Paraguay home
Brazil away

From hardest to easiest schedules, it appears to go Colombia, Ecuador, Argentina, Venezuela and Uruguay with the easiest.

Poisson Predictions



The first column gives the percentage chance of finishing in the top four and qualifying automatically. The second gives the percentage for finishing in 5th and playing a playoff against the 4th CONCACAF team. The next column is the qualifying percentage if it is assumed that the team would have a 50% chance of winning the playoff. The last column is the change in that number from before last Saturday's matches.

As you can see, Uruguay really shot themselves in the foot with the loss. Argentina actually gained despite their loss. This is mostly because the model didn't give them much of a chance against Brazil anyway and also the other results were much better than expected for them - most notably Uruguay losing. Colombia essentially tripled their chances.

Wednesday's Matches:

Other than the first one, the model predicts that the home team will be heavily favored in every match.

Bolivia - Ecuador
Bolivia win: 49%
Draw: 23%
Ecuador win: 28%

Ecuador could really use a result here and a win would put them in position to even fight for fourth. With a win they go to 44% overall to qualify, 26% automatically in fourth. A draw actually helps them a bit - they'd go up to 26.5% overall but be a few percent less likely to go through automatically. A loss doesn't completely kill their chances but they go down to just 2% for a top 4 finish - they'd need a lot of help to get there - and a 12% shot overall.

Paraguay - Argentina
Paraguay win: 64%
Draw: 23%
Argentina win: 13%

Paraguay are all but mathematically in so this result hardly matters. If Argentina pull off a win then they would have one foot in - 96% for a top 4 finish and 98% overall. Just a draw puts them in a solid position - 77% for top 4 and 87% overall. A loss isn't that bad, but it does reduce their chances to 57% for the top 4 and 75% overall. In other words, winning is significantly better than a draw but a draw is just as big compared to a loss. It's important for Diego's boys to keep their head up and fight for a draw if they get down.

Venezuela - Peru
Venezuela win: 70%
Draw: 19%
Peru win: 11%

This is a must-win for Venezuela whose chances aren't good anyway. With a draw they are about one in a thousand to make it. With a win they have about a 3% chance.

Uruguay - Colombia
Uruguay win: 71%
Draw: 23%
Colombia win: 6%

This match is obviously very important for both teams. For Uruguay, they could rebound nicely from the disappointment of Saturday and put themselves into a pretty good position if they can get the win. They would have about a 27% chance at qualifying automatically and a 46% chance overall. A draw would really damage them and drop them to just an 11% chance of finishing in the top 4 and 20% chance overall. A loss pretty much eliminates Uruguay as they go to just a 6% overall shot at qualification. If Colombia get the likely loss then they are just 2% to make it. A draw raises that to 12% and they go into a great position with a 40% chance, 16% for the top 4, with a win.

In short, the loser is eliminated and the winner is in pretty good shape. A draw is a lot better for either team than a loss.

Brazil - Chile
Brazil win: 83%
Draw: 13%
Chile win: 4%

This match is a friendly for Brazil and practically that for Chile.

CONCACAF World Cup Qualifying - 7 Down 3 to Go

As I said in my previous article on CONCACAF qualification, the Mexico win over Costa Rica has changed things drastically. The United States and Honduras took care of business so it is now all-but officially a four-team race for the three automatic spots.

Here is the table:



Honduras are currently top and also rate the best according to the Poisson model at both scoring and defending. Costa Rica are now really in a lot of trouble as far as finishing in the top 3. Their loss took them from the most likely CONCACAF team to make it to the top 4 team least likely to get in. Not only did they allow Mexico to go even with them on points, but by losing 0-3 they put themselves in really bad shape in the pretty likely event of a tie on points. They are currently 5 goals behind in goal differential - the first tiebreaker if teams are level on points. The United States got a very important win and moved into second. Unfortunately for them, the Costa Rica loss meant that instead of the win putting the Americans in fantastic shape it prevented them from being in really bad shape. Mexico obviously look a lot better than they did last week and are on a run that resembles the Mexico of old more than what we'd seen earlier in qualification.

The schedule is pretty important. Here are the remaining matches for the top four:

Honduras:
at Mexico
vs the United States
at El Salvador

United States:
at Trinidad and Tobago
at Honduras
vs Costa Rica

Mexico:
vs Honduras
vs El Salvador
at Trinidad and Tobago

Costa Rica:
at El Salvador
vs Trinidad and Tobago
at the United States

Mexico and Costa Rica have the easiest schedules as they play both El Salvador and Trinidad and Tobago. Honduras appears to have the hardest schedule with both Mexico away and the United States at home. The US schedule is in between with no easy fixtures.

Poisson Predictions:

These predictions are based on the version where I use only results from this World Cup qualification campaign.

Honduras

Offensive Rank: 1st
Defensive Rank: 1st
Top 3 Finish: 87.3%
4th-Place Finish: 12.6%
Qualification (50% chance in playoff): 93.6%
Change: +2.3% (net, not as a percent of old chance)

Mexico

Offensive Rank: 3rd
Defensive Rank: 2nd
Top 3 Finish: 86.3%
4th-Place Finish: 13.3%
Qualification: 92.9%
Change: +27.6%

United States

Offensive Rank: 2nd
Defensive Rank: 3rd
Top 3 Finish: 83.0%
4th-Place Finish: 16.9%
Qualification: 91.4%
Change: +0.6%

Costa Rica

Offensive Rank: 4th
Defensive Rank: 5th
Top 3 Finish: 43.2%
4th-Place Finish: 54.8%
Qualification: 70.6%
Change: -24.0%

Trinidad and Tobago and El Salvador have just a combined 1.4% chance at making it. As I said in previous articles, I think either would be a serious underdog in a playoff. I'd put there combined chances at more like half a percent. With the 50% assumption, they lost 6.5% combined relative to what was predicted before Saturday's matches.

As you can see, Costa Rica's chances took a massive hit. Mexico gained all of that equity and then some and Honduras gained a bit. The US essentially treaded water.

Wedenesday's Matches:

El Salvador - Costa Rica

Poisson Predictions:
El Salvador win: 46%
Draw: 28%
Costa Rica win: 26%

This match is very important for Costa Rica. Getting a win would pull them out of fourth - two or three points ahead of Mexico or Honduras depending on how things go in Mexico City. With a draw they would pull even with one of those teams, but as I said even won't be good enough in the end because they are so far behind in goal differential. This is somewhat the opposite of Saturday's matchup with Mexico - winning is very important, but a draw isn't much better than a loss. If the Ticos win then, without knowing the results of the other matches, they will jump up all the way to about 79% to finish in the top 3 and 89% overall. A draw drops this to 38.5% and 69% and a loss to 26% and 61%. (note: As I've done before and will do in the future unless otherwise noted, I'm using 0-0 as the scoreline for a draw and either 1-0 or 0-1 for a win. Also, all probabilities are without knowing the results of other Wedensday matches and assuming 50% in a playoff.).

In short, with a win Costa Rica return to a solid position where they are likely to automatically qualify. Anything less and they are more likely than not to finish in 4th and play for their lives against a South American team.

Trinidad and Tobago - United States
T&T win: 34%
Draw: 26%
USA win: 40%

As far as the importance of the match, the US is in a pretty similar spot to where they were before Saturday's game. That's bad news I suppose since they're now playing away. The 4th-place team after Wednesday's games will have at most 13 points. With a win the US would go 3 full points clear with only two matches to go, which would be huge. In that spot, my model predicts that they finish in the top 3 with 93.7% probability and qualify overall 96.8% of the time. A draw is not much better than a loss. With a draw I have them at 79.7% to finish in the top 3 and 89.8% overall. A loss would drop them to 72.9% to go automatically and 86.3% overall.

Mexico - Honduras
Mexico win: 50%
Draw: 26%
Honduras win: 24%

For the third straight matchday, Mexico will be involved in the most important game. The importance of this match for each team is difficult to overstate. If Mexico win then they go two clear of Honduras going into their last two matches against the two worst teams. If Honduras win then they go four points clear of Mexico and would guarantee qualification with a win either against the US at home or at El Salvador. A draw doesn't seem good for either of them; it may put Mexico in 4th two points out of third and Honduras would be stay just a point clear of fourth and put their October 10th match at home against the US decently in the must-win column if they want to avoid the playoff. On the other hand, it would be beneficial for both in the event that Costa Rica either get a draw or lose at El Salvador.

According to the model, if Mexico win then they are 97.25% to finish in the top 3 and 98.6% overall with the usual assumption of a coin flip in the playoff. A draw is far less comfortable - 81.9% for automatic and 90.7% overall. A loss complicates things - they'd be at 67.6% automatic and 83.2% overall. For comparison purposes, that's almost exactly the same probability as not rolling a six if you roll a die. For Honduras, a win puts them at a 99.1% chance at finishing in the top 3. A draw reduces this to 91.3%, with a 95.6% likelihood of qualifying overall. A loss would dramatically increase their chances of finishing fourth - they'd be at 79.9% to finish in the top 3 and 89.9% overall.

For both teams a win puts them in as close to a lock, and a draw is significantly better than a loss.

How much does this match affect the US and Costa Rica? Not a lot actually. US fans will be happy to learn that the best outcome for the Americans is a Mexico loss. Leaving the other matches' results as unknown, the US has an 86.2% chance of a top-3 finish with an Honduras win, an 83.6% chance with a draw and an 80.9% chance with a Mexico win. For Costa Rica it's basically the same, but they are close to indifferent between a Mexico win and a draw - their chances of a top-3 finish are 46.6% if Honduras win, 43.0% if it's a draw and 41.9% if Mexico win.

Discussion Elsewhere

If I happen to come across articles elsewhere that I think my readers would enjoy I'll post them either separately or within my post if it's on the same topic.

Soccer by Ives is a great source, particularly for information related to soccer in the United States or American players abroad. He has written a very good article that is obviously much more concise and better written than what you see here. He makes some great points - most notably that the US' last match against Costa Rica is now almost certain to be important for both teams and that anything but a win Wednesday means the US would likely go into Honduras next month needing a result.

Saturday, September 5, 2009

A Mid-Day Qualification Update

Now that all European matches have been played as well as a couple in South America, here are updated odds for UEFA and CONMEBOL. I'll have a more detailed writeup for each later.

CONMEBOL

Results:
Colombia 2 - 0 Ecuador
Peru 1 - 0 Uruguay

Both results are great for Argentina and put the two losers in a tough spot. Brazil, Chile and Paraguay are still better than 99% to get in automatically. Because of those results, Argentina went from 53% to make the top 4 to 77%. Their match later today is still pretty big but it's been a good day so far. Uruguay's chances are now down to just 26% overall, as usual assuming the playoff would be 50/50 if they get there. Ecuador losing as well somewhat negated the pain of their loss. Ecuador nearly cut their chances in half - they are down to 11% overall to qualify.

UEFA

Group 1
Results:
Denmark 1 - 1 Portugal
Hungary 1 - 2 Sweden

Sweden now have a 49% chance at second place and the playoff. Portugal actually slightly improved their chances and now have a 39% probability of finishing in second with enough points. Hungary is significantly worse off - they now have just a 4% shot at the playoff.

Group 2
Results:
Moldova 0 - 0 Luxembourg
Israel 0 - 1 Latvia
Switzerland 2 - 0 Greece

Switzerland are now favorites to go through top with a 65% chance. They also have a 29% chance of finishing in second and making the playoff. Greece have fallen to 29% to go through automatically and 53% to make the playoff. Latvia are still in it but have just a 7% shot at winning the group and 16% of making the playoff round.

Group 3
Results:
Poland 1 - 1 Northern Ireland
Slovakia 2 - 2 Czech Republic

The results were good for Slovakia. They are now at 64% to finish in first and 15% to make the playoff round in second. Northern Ireland are in a similar spot to where they were yesterday - 12% to win the group and 26% to finish second and make the playoff. Slovenia improved their chances and are now at 12% to win the group and 16% for second. Poland and the Czech Republic are now in worse shape. Poland have a 7% chance to win the group and 15% of getting into the playoff round and the Czech Republic 5% and 19%.

Group 4
Results:
Azerbaijan 1 - 2 Finland
Russia 3 - 0 Liechtenstein

Nothing changed. Russia won as expected so it still comes down to them and Germany for first and second.

Group 5
Results:
Armenia 0 - 2 Bosnia-Herzegovina
Turkey 4 - 2 Estonia
Spain 5 - 0 Belgium

Bosnia-Herzegovina's chances went up a bit and Turkey's down. B-H are now at 71% to make the playoff round and Turkey 28%.

Group 6
Results:
Ukraine 5 - 0 Andorra
Croatia 1 - 0 Belarus

Croatia's chances went down slightly and Ukraine's up. The 5 goals may be huge for Ukraine. Croatia are now at 69% and Ukraine 30% to make the playoff round.

Group 7
Results:
Austria 3 - 1 Faroe Islands
France 1 - 1 Romania

France's chances for first took a bit of a hit, but most of that went on to their playoff equity. They are now at 30% to win the group and 67% for good-enough second. Serbia are now up to 70% to win the group and 30% to qualify for the playoff round.

Group 8
Results:
Bulgaria 4 - 1 Montenegro
Georgia 0 - 2 Italy
Cyprus 1 - 2 Republic of Ireland

Nothing changed here. Italy and Ireland both got the wins they were supposed to.

Group 9
Results:
Scotland 2 - 0 Macedonia
Iceland 1 - 1 Norway

Norway's chances took a major blow. They were the most likely team to get second but are now down to just having a 5% chance at making the playoff to go with the 36% probability of finishing second but being eliminated anyway. Scotland's chances have gone up to 15% for second and in the playoff. Macedonia are now pretty much eliminated.

Monday, August 31, 2009

World Cup Qualifying - CONMEBOL

How It Works

All 10 teams play under the league format. Each team plays every other team twice, once in each country. The top four teams automatically advance to the finals in South Africa, the fifth-place team has to win a playoff against the fourth-place team from CONCACAF.


Where the Group Is Now




Brazil are sitting pretty at the top, 7 points clear of the playoff spot. Chile are doing quite well just one point behind. Paraguay are also in great shape, four points clear of fifth. Argentina do not look as good as usual and sit just two points ahead of fifth-place Ecuador going into their match with Brazil this weekend. At the bottom, Bolivia and Peru are effectively out of it while Colombia and Venezuela all have a shot but are running out of time with only four matches to go. Uruguay should challenge Ecuador for that fifth spot and could even catch Argentina.

Peru and Bolivia have been significantly worse this qualifying campaign than the bottom teams have historically been - with the exception of Venezuela before France '98 with just 3 points. Four years ago at this point both were the bottom two teams as they are now, but in the other order. Bolivia had 13 points and Peru 14. As a result, it looks like more points will be required this year to make the finals. Four years ago at this point, there was a 3-way tie for fifth. Colombia, Chile and Uruguay all had 17 points. Right now fifth is a full 3 points higher. Argentina haven't looked nearly as good as usual and Chile have given us a much better showing than they historically have. Otherwise there's nothing too strange going on.


Poisson Predictions


I put the qualifying results into the Poisson model. I also ran a version where I included the matches from Copa America, which took place in 2007. It didn't change things much. Putting those results in made Ecuador look a bit better and Uruguay a bit worse. In qualification chances, it bumped Ecuador up about 7%, decreased Uruguay 6.2% and also reduced Colombia's chances 0.7%. Other teams changed only slightly.

Here is the chart with just the qualification results:



The format is similar to what I used in the CONCACAF article. The first numbered column gives the percentage chance of finishing in the top 4, which automatically qualifies you for South Africa 2010. The second column gives the chance of finishing in fifth place, which puts you in a playoff against the 4th-best team from CONCACAF. The out column gives the chance of finishing 6th or worse - this eliminates you from the competition. The last column gives the chance of qualification if a potential playoff with the CONCACAF team would be a 50/50 proposition. As I said in the earlier article, I think this underestimates the chances a bit because whichever team finishes fifth here is probably a small favorite over the CONCACAF team finishing fourth.

As you can see, Brazil, Chile and Paraguay are effectively in and Bolivia and Peru are effectively out. In 100,000 simulations, Brazil finished in 5th 8 times and the other 99,992 times they were in the top four. I'd say they're pretty safe. Similarly, Peru didn't finish in the top 5 for even one of the 100,000 simulations.

Things are much more interesting in the middle. Argentina are still favored to get in, but they're certainly no lock. Of the four other contenders, Uruguay rates the best. This is likely due to their schedule - they play at Peru this weekend and face rivals Colombia and Argentina at home. Their toughest test is a trip to Ecuador. Meanwhile, Argentina have Brazil left on their schedule and Ecuador wrap things up with a trip to Chile. That likely means that the model will underrate Ecuador's chances because most likely Chile will have nothing to play for in that match and a win for Ecuador wouldn't be unlikely in the event that they need one, even though they are the worse team and playing away.

Saturday's Matches


Argentina - Brazil


Importance for Argentina:
A win would be a huge boost to their chances, and even getting a single point would help. With a win, Argentina go from the 53% chance they currently have to automatically qualify to 78%. Overall their chances go up to 88% to make it to South Africa if you assume they'd be 50/50 but it's probably more like 93% since they'd be a solid favorite in a playoff. So a win gives them about a 10% better chance of making it. A draw leaves their numbers pretty much unchanged. A loss would be bad though, and the likelihood that they finish in the top 4 would drop 14 percentage points to 39%. They would lose about 10% for their overall qualification chances.

Importance for Brazil:
Effectively none. They're in either way.

Colombia - Ecuador

Importance for Colombia:
Colombia's chances are quite slim either way. A win makes them about twice as likely to finish in fifth, which about doubles their chances of qualifying to a little over 4%. If they lose they are effectively out. A draw roughly cuts their chances in half.

Importance for Ecuador:
This match for Ecuador is pretty important. A loss reduces their chances of finishing in the top 4 by about 5.5% and their overall chances by about 10%. A draw keeps them pretty much where they are, they only lose a couple percentage points. A win would be a huge boost. If they win then their chances of a top 4 finish roughly triple to about 21%. Overall they would be about twice as likely to qualify going from 19% to 38%.

Peru - Uruguay

Importance for Peru:
None. They're out.

Importance for Uruguay:
This is close to a must-win for Uruguay. With a win they are in pretty good shape - probably in fifth place, possibly just a point behind Argentina in fourth. Their chances of finishing in the top 4 go up 10 points to 49% and they'd become about 2:1 favorites overall to qualify with a win. A draw would reduce their chances to 27% for the top 4 and about 44% overall. A loss would be devastating and they would drop to just a 15% shot at going automatically and 32% overall.

Paraguay - Bolivia
Chile - Venezuela

Both of these matches feature a team that is virtually certain to make it and one that is just as likely to finish outside the top 5. Chile and Paraguay would be pretty much unaffected even by a loss. If Venezuela pull the upset then they would go from practically no shot to having a small chance - about 8%.

Friday, August 28, 2009

World Cup Qualification - CONCACAF

How It Works

After 3 preliminary rounds, the final round (where we are now) follows a league format with six teams, commonly referred to as the hex. All teams play each other twice, once in each country. As usual, three points are given for a win, one for a draw and none for a loss. The top three teams advance to the World Cup finals in South Africa. The fourth-place team has a playoff with the fifth-place team from CONMEBOL (South America).

Breaking Ties

Should teams be equal on points, the first two tie breakers are goal difference (goals scored minus goals conceded) and goals scored in all matches. If two or more teams have the same points, goal difference and goals scored then they are sorted by points and if necessary goal difference and then goals scored restricting attention only to matches involving those teams.

Where the Group Is Now

The current table, with all teams having played 6 out of 10 matches, looks like this:



Costa Rica are two points clear at the top with 12 points, Honduras and the USA are even with 10, Mexico have 9 and El Salvador and Trinidad and Tobago have some work to do with 5 points each. Each team has played every other team at least once. Curiously, the top pair of teams, the middle two teams and bottom two teams have played each other twice so broadly speaking the schedule favors the teams at the top.

The first thing that jumps out at me is that there is a lot more parity than usual. Only 7 points separate the top team in the group from the bottom and you can't really argue that one or two teams are dominating. For comparison, here is the table this many matches into qualifying for Germany 2006:



(note: I'm using the current tiebreakers, which are different than 2006. In 2006, Costa Rica were ahead of Guatemala because they beat Guatemala in their only meeting to that point)

Four years ago the US and Mexico dominated the hex. At this stage, the US had lost 2-1 to Mexico in Azteca but won their other 5 matches. Including the win over the US, Mexico won 5 out of their first 6 matches and got a draw in the other. Oddly enough, Mexico's only blemish was against Panama, by far the weakest team in the group. They were terrible and went on to lose their last four matches finishing with two draws and eight losses in the final qualifying round. This year there are no teams that have gotten similar results to Mexico, the US or, at the other end of the spectrum, Panama four years ago. Only 7 points separate the top and bottom compared to 14 points last time around at this stage. Panama was effectively eliminated four years ago. While it isn't likely that either goes through (see below), it's certainly possible for El Salvador or Trinidad and Tobago to make it. At the top, the US and Mexico were so dominant in qualification for the 2006 finals that if you kept the 2-0 win over Mexico by the US that would come later and gave both of them a one-goal loss in all of their other remaining matches then both teams still would have gone through! This year even Costa Rica at the top of the table aren't completely safe.

Looking not at the table but the results, another thing that sticks out is that playing at home has been huge. Thus far in the final round, the home team has won 14 matches, drawn 3 and only once has the away team gotten a win. That honor belongs to Costa Rica for their 2-3 win over Trinidad and Tobago. This means that home teams are averaging an astounding 2.5 points per match with away teams eeking out a scant one-third of a point. This again is different from qualifying for the 2006 finals. Then home teams went 20-4-6 (W-D-L) and averaged 2.13 points per match while away teams averaged 0.73 points in their matches. Naturally, scoring follows a similar pattern. A total of 37 goals have been scored by home teams and 14 by the visitors. That averages out to 2.06 goals for the home team and 0.78 for the away team. Four years ago, home teams scored at a rate of 1.9 goals per game and conceded 0.87. This goes hand in hand with the previous paragraph - weaker teams have been much better able this time around to get good results even against stronger teams, especially at home.

Poisson Predictions

I plugged all the results from the current CONCACAF World Cup qualifying campaign into the Poisson model. Using these results it comes up with a scoring and conceding stat for each team as well as a number that represents the benefit of playing at home. These can be used to simulate results for matches that haven't taken place to determine the likelihood of qualification for each team. In the next article, I will discuss adding in results from the 2007 and 2009 Gold Cups. Doing this changes the predictions and I don't want to muddy this article with that discussion.

Based only on 2010 qualifying results, here is a chart giving the percentage chance of advancing for each team.



The first numbered column gives the percentage chance of qualifying by being in the top 3 of the group. For example, it indicates that the US has about an 83% chance of finishing in first, second or third in the group. Finishing in the top three automatically sends a team to South Africa next summer. The next column gives the percentage chance of finishing in fourth place. Finishing there forces the team to win a playoff against the fifth-place team from South America. The last column is the chance that the team finishes in fifth or sixth, completely eliminating them from the competition.

Here is a quick breakdown for each team.

Costa Rica

The ticos have performed well and find themselves in great shape three points clear of Mexico in fourth place. According to the model they are the best attacking team but second-worst defensively in the hex. It would take a fair collapse to fall out of the top three and finishing in the bottom two is extremely unlikely. I give them about a 90% chance to finish in the top three and a 10% chance of finishing fourth putting their chance of qualification in the 94-95% range. The key for their next match, September 5th at home against Mexico, is not to lose. A Mexico win would put the two teams even on points, most likely a point behind both Honduras and the United States. If Costa Rica win then they are essentially in - they would have a 98% chance of a top-three finish according to the model. A draw is fine, but does decrease their chances to 84% of qualifying automatically and about a 15% chance of finishing in fourth. So their overall chances drop, but just a few percent. A home loss to Mexico on the other hand lowers their chances drastically - 64% for the top 3 and 34% for fourth. That means roughly an 80% shot of making it to South Africa, a drop in likelihood of about 15%. Preventing Mexico from gaining on them is pretty important here.

Honduras

Honduras just edges out the US as the second-most-likely team from CONCACAF to reach the World Cup finals. According to the model they are the best team defensively and third best at scoring. They have about an 84% chance of finishing in the top three and a 15% chance of finishing fourth for roughly a 90-91% chance of making it to South Africa. Their next match is against Trinidad and Tobago at home. There aren't many great chances to get three points and this is pretty easily their best shot to do so in their last four matches. Their odds reflect this: if they win then they go through in the top three 88% of the time, while a draw lowers this to 70%. If they somehow lose then their chance of a top-3 finish falls all the way to 57%. The schedule probably adds even more importance to getting a win than the Poisson model suggests. If they just get a draw on September 5th against T&T then four days later they will go into Azteca stadium at most two points clear and possibly in fourth place if Mexico manage a win in San Jose. It's tough enough to play in Mexico City as it is, but going in feeling like you need a result is a very tough task.

United States

The model has the US as the second-best team at both scoring and defending. While the results have not been as strong as usual, the Americans find themselves in great position to go through with about an 83% chance of qualifying automatically and a 15% chance of finishing fourth and playing against a South American team for a spot. Like Honduras, that means they have around a 90 or 91% chance to play in South Africa next summer. The similarities with Honduras don’t end there. The next US match is September 5th against El Salvador in Utah. It is vital that they do not squander their best remaining opportunity for three points. A win against El Salvador puts them at 90% to finish in the top 3 with the other 10% being their chances of finishing fourth - about a 95% chance of qualifying. Getting just a point drops the US to a 71% chance of a top 3 finish and a 27% chance of finishing fourth - about an 84% chance of making it to South Africa for a drop of over 10 percent. A loss would not only be embarrassing but it would lower the Americans' chances to 56% for a top 3 finish and 34% of finishing fourth - good for roughly a 72% chance of reaching the finals. In other words, a win and they are in fantastic shape and anything less leaves things a bit murky. On September 9th they travel to Trinidad and Tobago, a match that is also winnable. With a win against El Salvador, the US should be able to pretty much wrap things up with a win in Port of Spain.

Given the US-Mexico rivalry, a natural question is how much of a blow the 2-1 loss to Mexico was. The answer is not all that much - it cost them about 12% equity for a top 3 finish and a little under 7% overall. In other words, the model currently predicts that the US will qualify automatically 83.3% of the time and finish in fourth 15% for about a 91% chance to qualify. Had the US held on for the 1-1 draw they would be sitting pretty with a 95.7% chance of a top-three finish and a 4% chance of finishing fourth for a qualification percentage of roughly 98%. The difference between the two is 12.4% for automatic qualification and 7% overall. Giving Mexico 3 points pulled them that much closer, making it a fair bit more likely that they finish over the US, forcing the Americans to play against a South American team for qualification. Even so, the US is still in great shape to finish in the top 3 and will most likely finish above Mexico so it wasn’t all that important.

Mexico

Mexico have been pretty disappointing by historical standards and downright mediocre in their qualifying matches. They rate as the fourth best team in both attacking and defending. They narrowly beat Trinidad and Tobago 2-1 at home, lost at El Salvador 2-1 and lost by two goals away against both Honduras (3-1) and the United States (2-0). Despite these lackluster results, they find themselves in decent shape to qualify - although they likely will need to best the fifth-place South American team to do so. The model claims that they have a 41% chance of finishing in the top 3 and a 50% chance of finishing fourth. That puts them somewhere around 65% to make it to South Africa. Getting a result in their match on September 5th at Costa Rica would be quite beneficial. If they get a draw then their chance of a top-3 finish goes up to 47% and their overall chance of making it goes up 5% to 70%. A loss on the other hand drops them to a 29.5% shot at automatic qualification and about 58.5% overall. Should they get a win then they are in great shape with a 78% chance of a top-3 finish and about an 88% chance overall. It is a key match at this stage and given likely wins by the US and Honduras, a loss by Mexico would put them 4 points out of third place. There isn’t a lot of room for them to slip up, and they most likely will have to win out if they lose in San Jose.

The win over the US was a lot more important to Mexico than the loss was for the US. Had they failed to break the 1-1 deadlock, they would have only about a 17% chance of a top 3 finish to go with a 60% chance of finishing fourth. Giving them even odds to win in a playoff that would put them at a 47% chance to make it. With the win against the US they increased their chances to about 41% to go through automatically and 50% of a playoff for a 66% chance of qualifying overall. In short, getting all three points against the US made Mexico about 24% more likely to qualify automatically and 19% more overall. So you could say that while the loss wasn't very bad for the US, they missed out on a great opportunity to seriously damage Mexico's chances by not getting a draw.

El Salvador and Trinidad and Tobago

I'll cover them together because they are in very similar situations. Both are really up against it. It would definitely be a surprise if either made it, but stranger things have happened. Both have about a 1% chance of finishing in the top 3. El Salvador is rated a bit higher with close to a 7% chance of finishing fourth while the islanders are looking at just under 4%. Given that both would be significant underdogs in a playoff against the 5th South American team, I'd say each of these teams qualifies two or three times out of a hundred. El Salvador plays at the United States while Trinidad and Tobago plays at Honduras. If either can somehow get an upset win they would increase their chance of qualification to close to 15%. On the other hand if they get the expected result and lose then their already slim chances would be cut in half.

Conclusion

We essentially have the top 4 teams battling it out to determine which three go through to the finals automatically with the odd-man out forced to play a home-and-home with a South American team. Based on the results of this qualification round, Mexico is the favorite for that fourth spot, getting it about half the time. The next matchday is very important for all four teams, with Mexico traveling to Costa Rica and the US and Honduras playing weak opponents at home. If Mexico can manage a win or the US and/or Honduras fail to win then things will change fairly drastically.