From: jvazquez on
On 12 jun, 17:51, Futbolmetrix <futbolmet...(a)yahoo.com> wrote:
> That's because unfortunately there was a major bug in the spreadsheet,
> which almost undermines the whole sophisticatedness of the SPC. There
> should have been two additional restrictions: the sum of QF exit
> probabilities in groups A-D and E-H should have been equal to 2, and
> the sum of (semi + LF + WF) in each half of the draw should also have
> been equal to 2.

Check,

Check.

JV


From: Philipp Lucas on
Futbolmetrix <futbolmetrix(a)yahoo.com> wrote:

>That's because unfortunately there was a major bug in the spreadsheet,
>which almost undermines the whole sophisticatedness of the SPC. There
>should have been two additional restrictions: the sum of QF exit
>probabilities in groups A-D and E-H should have been equal to 2, and
>the sum of (semi + LF + WF) in each half of the draw should also have
>been equal to 2.

So, when it comes to see my predictions crumbling in the face of reality,
I can blame it all onto missing error checking in the Excel sheet which
lured me into making wrong predictions? Great! (My predictions are
unbalanced in both cases.)

--
Philipp Lucas
phlucas(a)f-m.fm
From: milivella on
juanvazquez:

> How do you translate say ELO into the sheet?  Do you have a "system"?
> Can ELO (or any other simulation) be translated with different sets of
> numbers?

I hope that someone who knows (Daniele!) will reply you, but my guess
is that Elo (or any similar system) can predict the outcome of any
match. I.e. it can give you a table with the probability of each
different outcome, something like
England vs. USA
0-0 10%
1-0 20%
0-1 5%
1-1 15%
etc.

Then you can run (e.g. in Excel) thousand virtual WCs, computing the
outcome in each match in the following way: the computer picks a
random number between 1 and 100 and finds the outcome related to that
number (in reality it's a bit less anthropomorphic than this!), e.g.
England vs. USA
if the random number is 3 -> then the outcome is 0-0
14 1-0
27 1-0

Now, if you run 10,000 simulations and Spain wins in 752 of them, you
just assign ,0752 to Spain as winner in the sophisticated prediction
contest!

In general, I've seen that math is more empiric and inductive than
most people think: you don't need (and probably can't have anyway) a
_deductive_ system that takes Spain's Elo rating and convert it into
chances to win the WC, since you can just run a lot of virtual WCs and
_see_ how many times Spain win.

(Or I'm completely wrong, and in this case I hope you've appreciated
my piece of fiction.)

--
Cheers
milivella
From: Myk Cameron on
"milivella" <milivella(a)gmail.com> wrote in message
news:c2b9e0e7-1345-4dbe-a058-0b519a3c0b94(a)k39g2000yqb.googlegroups.com...
juanvazquez:

> How do you translate say ELO into the sheet? Do you have a "system"?
> Can ELO (or any other simulation) be translated with different sets of
> numbers?

I hope that someone who knows (Daniele!) will reply you, but my guess
is that Elo (or any similar system) can predict the outcome of any
match. I.e. it can give you a table with the probability of each
different outcome, something like
England vs. USA
0-0 10%
1-0 20%
0-1 5%
1-1 15%
etc.

Then you can run (e.g. in Excel) thousand virtual WCs, computing the
outcome in each match in the following way: the computer picks a
random number between 1 and 100 and finds the outcome related to that
number (in reality it's a bit less anthropomorphic than this!), e.g.
England vs. USA
if the random number is 3 -> then the outcome is 0-0
14 1-0
27 1-0

Now, if you run 10,000 simulations and Spain wins in 752 of them, you
just assign ,0752 to Spain as winner in the sophisticated prediction
contest!

In general, I've seen that math is more empiric and inductive than
most people think: you don't need (and probably can't have anyway) a
_deductive_ system that takes Spain's Elo rating and convert it into
chances to win the WC, since you can just run a lot of virtual WCs and
_see_ how many times Spain win.

(Or I'm completely wrong, and in this case I hope you've appreciated
my piece of fiction.)

--
Cheers
milivella


****

I didn't run simulations to convert the AQB ratings into probabilities of WC
victory. I have a spreadsheet (across multiple sheets) that summarises the
joint probability of every combined set of possible outcomes in the first
round, and works out the probabilities that a team finishes first or second.
I also have sheets that work out the probabilities of victory of every
possible matchup from that point on, allowing an estimate of the probability
constructed from the joint probabilities of every possible outcome. Hope
that makes sense - it's kind of late here!


Myk

From: milivella on
Myk Cameron:

> "milivella" <milive...(a)gmail.com> wrote in message
>
> news:c2b9e0e7-1345-4dbe-a058-0b519a3c0b94(a)k39g2000yqb.googlegroups.com...
> juanvazquez:
>
> > How do you translate say ELO into the sheet? Do you have a "system"?
> > Can ELO (or any other simulation) be translated with different sets of
> > numbers?
>
> I hope that someone who knows (Daniele!) will reply you, but my guess
> is that Elo (or any similar system) can predict the outcome of any
> match. I.e. it can give you a table with the probability of each
> different outcome, something like
> England vs. USA
> 0-0 10%
> 1-0 20%
> 0-1 5%
> 1-1 15%
> etc.
>
> Then you can run (e.g. in Excel) thousand virtual WCs, computing the
> outcome in each match in the following way: the computer picks a
> random number between 1 and 100 and finds the outcome related to that
> number (in reality it's a bit less anthropomorphic than this!), e.g.
> England vs. USA
> if the random number is 3 -> then the outcome is 0-0
> 14 1-0
> 27 1-0
>
> Now, if you run 10,000 simulations and Spain wins in 752 of them, you
> just assign ,0752 to Spain as winner in the sophisticated prediction
> contest!
>
> In general, I've seen that math is more empiric and inductive than
> most people think: you don't need (and probably can't have anyway) a
> _deductive_ system that takes Spain's Elo rating and convert it into
> chances to win the WC, since you can just run a lot of virtual WCs and
> _see_ how many times Spain win.
>
> (Or I'm completely wrong, and in this case I hope you've appreciated
> my piece of fiction.)
>
> --
> Cheers
> milivella
>
> ****
>
> I didn't run simulations to convert the AQB ratings into probabilities of WC
> victory. I have a spreadsheet (across multiple sheets) that summarises the
> joint probability of every combined set of possible outcomes in the first
> round, and works out the probabilities that a team finishes first or second.
> I also have sheets that work out the probabilities of victory of every
> possible matchup from that point on, allowing an estimate of the probability
> constructed from the joint probabilities of every possible outcome.

OK, so mine account was really fictive!

Anyway, thanks for the explanation. Have you personally designed the
spreadsheet? I hope that you'll be able to explain how is possible to
have predictions from the ratings: I see that the following page
http://www.image.co.nz/aqb/about_predictions.html
is expected to be filled. :)

--
Cheers
milivella