Monday, September 17, 2018

Simulating 2018 USTA League Nationals - 18 & Over 3.5 Women

My fourth simulation of USTA League Nationals using the new format for 2018 is the 18 & Over 3.5 women.  You can see all simulations here.

This event has the full 17 teams.  Note that the schedule as I write this has an error with SoCal playing Texas twice and NorCal with just three matches, I'm assuming that gets corrected and NorCal plays Texas.

Using my ratings' top-10 averages, the actual schedules, and running things through a million iterations, the following is observed.

The range of top-10 averages is pretty large for this group, from 3.38 all the way to 3.66, but the highest rated 9 teams are all at 3.50 or higher so it shouldn't be a runaway for the top teams.

With the actual schedules the USTA set up, there are ways for more than 4 teams to finish undefeated, meaning a team that doesn't lose could be sent home without making the semis.  The chances are pretty slim, just 0.25% chance of 5 teams finishing undefeated, so it is pretty unlikely.  Note that there is no way to guarantee just 4 with 17 teams.

In an ideal world, there are the 4 undefeated teams and there is no controversy, and the simulation says there is a pretty good 19% chance of this happening.

That means that there is an 81% chance of having a tie for 4th place.  The most likely number of teams in the tie is 3 (37%), and oddly the chances of a 5-way tie are better than 4-way (27% to 18%), but still a good chance of a good sized tie.  The largest number the simulation shows is 11.

When there is a tie for 4th, the first tie-breaker is courts won/lost and in 18% of the cases the 4th and 5th teams will be tied on courts meaning it will go to head to head, but the teams are unlikely to have played, so it will go to the sets tie-breaker almost all of that 11% of the time.  The number of teams in this tie-breaker will usually be two, but 20% of the time it will be 3 or more.

It is also interesting to see how many wins the 4th place team has most often, and 81% of the time they'll have 3 and 19% of the time they'll have 4, but in 16 of the million simulations, 4th place had just 2 wins!

Since the highest rated team could have the toughest schedule, they won't necessarily be the team most likely to make the semis.  However, for this event, the top-2 teams apparently don't have hard schedules or are that much better as they have a 99% and 98% chance of at least being in a tie for 4th.  However, the next most likely is the #9 team due to a very easy schedule, the #3 and #5 teams have a good shot at the semis, but the #4 team has a tough schedule and just a 23% chance.

That is a lot of interesting but unspecific information, so lets just get to it to see who the simulation says the favorite is.  That would be Texas.  Who are teams outside the top-6 by the ratings but might surprise?  Look for Northern to have a good shot.

If you'd like to get more details of the simulation and each team's chances, or are interested in a flight or team report to help scout your opponents, contact me.

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