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Fantasy Scout RSS Ranking - October 2009...

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milivella...
Posted: Wed Oct 14, 2009 3:57 pm
Guest
1. ( =) Daniele 3.87 (+0.13)
2. ( =) Enzo 3.40 (+0.40)
3. (-1) Andrea V. 3.32 (+0.32)
4. ( =) Sid 2.50 (+0.50)
5. (+1) Michael H. 2.10 (+0.45)
6. (-1) Abubakr 2.00 (+0.25)
7. ( =) William 1.60 (+0.10)
8. ( =) Jesus 1.00 (+0.00)
9. ( =) Mark 0.44 (+0.22)
10. ( =) Tom two 0.00 (+0.00)

(Comparison with the ranking just before tonight's update.)

Discuss! ;)

--
Cheers
milivella
 
Enzo...
Posted: Wed Oct 14, 2009 5:04 pm
Guest
On Oct 15, 1:57 am, milivella <milive... at (no spam) gmail.com> wrote:
Quote:
 1. ( =) Daniele    3.87 (+0.13)
 2. ( =) Enzo       3.40 (+0.40)
 3. (-1) Andrea V.  3.32 (+0.32)
 4. ( =) Sid        2.50 (+0.50)
 5. (+1) Michael H. 2.10 (+0.45)
 6. (-1) Abubakr    2.00 (+0.25)
 7. ( =) William    1.60 (+0.10)
 8. ( =) Jesus      1.00 (+0.00)
 9. ( =) Mark       0.44 (+0.22)
10. ( =) Tom two    0.00 (+0.00)

(Comparison with the ranking just before tonight's update.)

Discuss! ;)

--
Cheers
milivella

How can this dude Andrea go -1 if the other 2 dudes
above him stay rooted?
 
Enzo...
Posted: Thu Oct 15, 2009 5:03 pm
Guest
On Oct 15, 1:23 pm, milivella <milive... at (no spam) gmail.com> wrote:
Quote:
Futbolmetrix:

"milivella" <milive... at (no spam) gmail.com> wrote in message

news:72ff9813-6f60-47b9-8502-

By the way, in the Excel file I would add a column to the Players-
Matches worksheet indicating which scout the player belongs to.
I'll do it, but I've to found the way to do it... :/ (under the
current set-up, I should add the scout name manually, something that
makes little sense... time to learn a bit more of Excel, or to switch
to a db!)

I can help you with that.

Please! (you know my e-mail address...)

To ingratiate you, here is the ranking based on players' estimated
score... :)

 1. Enzo       71
 2. Andrea V.  40
 3. Jesus      34
 4. Michael H. 32
 5. Daniele    11
 6. Sid         9
 7. William     8
 8. Abubakr     6
 9. Mark        2
10. Tom two     0

Even assuming the formula of projection of career stats
based on current stats and age is applicable to every picked
player based on its applicability to a handful of successful
footballers in history, which is by ***no*** means a given ...

It assumes that my future picks will perform like my present picks,
"performa" meaning performance according to this formula (
the projection of career caps and goals based on current values
and age ).

Since in FS, we are forced to continue picking players every year,
this is a big drawback with the formula. The formula must find
some way, if it is going to be making projections into the future,
to account for the probability of performance of future picks.
 
milivella...
Posted: Fri Oct 16, 2009 12:52 pm
Guest
Futbolmetrix:

Quote:
"milivella" <milive... at (no spam) gmail.com> wrote in message

news:347fcc5b-bf30-44da-a3ac-713fcaf42083 at (no spam) k17g2000yqb.googlegroups.com...
Enzo:

In fact I'd like to make the formula better. But date of birth and
points are the only data -

But there is additional information around. The club the player is at, the
role he plays in, how many top league appearances and goals he has
accumulated so far, possibly even how many CL appearances and goals as well.

The "ideal" formula would be calculated as follows (example for Italy)

1) Collect data on an entire cohort of players. Say, all players born in
1970-1971 who played in the Italian Campionato Primavera in 1989-1990.

2) For each player and every year, calculate:
- cumulative number of NT caps and goals
- cumulative number of Serie A appearances and goals.
- current club
- current role

3) In 2010, once this cohort's career is essentially over,
run the following set of regressions (separately for each age a)

TOTAL_ADDITIONAL_CAPS(a) = B0_a + B1_a*CAPS(a) + B2_a*NTGOALS(a) +
+ B3_a*SERIEA_APPEARANCES(a) + B4_a*SERIEA_goals(a) +
+ B5_a*CLUB(a) + B6_a*ROLE(a)

TOTAL_ADDITIONAL_NTGOALS(a) = B0_a + B1_a*CAPS(a) + B2_a*NTGOALS(a) +
+ B3_a*SERIEA_APPEARANCES(a) + B4_a*SERIEA_goals(a) +
+ B5_a*CLUB(a) + B6_a*ROLE(a)

where TOTAL_ADDITIONAL_CAPS(a) is the total number of additional caps won by
a given player after age a, CAPS(a) is the total number of CAPS up to age a,
and so on.

Then, you have for each age a, a predicted number of additional caps and
goals for each player.

Conceptually, very easy.
Practically, impossible to implement.

:)

Yes, it's impossible to implement. Still, if we want to talk theory, I
would not take note of appearances and club, replacing them with
points obtained by the team player X played (or started). (OK, a
quicker - and maybe not less fair - option would be total_team_points/
percentual_of_matches_played_by_X)

Also: "role" is not objective. What about "goals per game ratio"
instead?

But I expect from you the perfect formula to avoid predicting 500 caps
for Santon! :)

I really don't know how to fix it... I'm just doing a step back, and
using this simple formula (for players younger than 37!):
points/((age-17)/19)
E.g. Take a player who (1) is at the middle of his career, i.e. is 26
years and 6 months old, and (2) has 10 points: he is expected to score
in the second part of his career the same amount of points he has
scored so far, i.t. another 10 points:
10/((26.5-17)/19) = 20

Al least the expected scores are more realistic now, the ranking
remaining acceptable:
1. Walcott 104
2. Gago 99
3. Santon 95
4. Pato 86
5. Pique 76
5. Marin 76
7. Rossi 71
8. Cazorla 71
9. Busquets 57
9. Mata 57

And this would be the expected score of each RSSer:
1. Enzo 25
2. Andrea V. 16
3. Michael H. 12
4. Daniele 10
4. Jesus 10
6. Sid 8
7. Abubakr 6
8. William 5
9. Mark 1
10. Tom 0

Where have I to sign?

--
Cheers
milivella
 
milivella...
Posted: Fri Oct 16, 2009 1:17 pm
Guest
milivella:

Quote:
I really don't know how to fix it... I'm just doing a step back, and
using this simple formula (for players younger than 37!):
points/((age-17)/19)

Al least the expected scores are more realistic now, the ranking
remaining acceptable:
1. Walcott 104
2. Gago     99
3. Santon   95
4. Pato     86
5. Pique    76
5. Marin    76
7. Rossi    71
8. Cazorla  71
9. Busquets 57
9. Mata     57

And this would be the expected score of each RSSer:
 1. Enzo       25
 2. Andrea V.  16
 3. Michael H. 12
 4. Daniele    10
 4. Jesus      10
 6. Sid         8
 7. Abubakr     6
 8. William     5
 9. Mark        1
10. Tom         0

Numbers were wrong, because all the players were treated as 1 year
younger; and anyway players being born in the same year had the same
multiplier, i.e. it didn't matter if they were born in January or
December.

The fixed and definitive numbers (live now: http://fantasyscout.altervista.org/data.htm
) are:

1. Gago 76
2. Cazorla 63
3. Walcott 57
3. Santon 57
5. Pato 55
6. Pique 54
7. Rossi 50
8. Marin 42
9. Busquets 40
10. Mata 38

1. Enzo 16.41
2. Andrea V. 11.45
3. Daniele 9.03
4. Michael H. 8.62
5. Jesus 6.34
6. Sid 6.10
7. Abubakr 4.57
8. William 4.18
9. Mark 1.14
10. Tom two 0.00

Too low?

--
Cheers
milivella
 
Enzo...
Posted: Fri Oct 16, 2009 4:26 pm
Guest
On Oct 16, 10:52 pm, milivella <milive... at (no spam) gmail.com> wrote:
Quote:
Futbolmetrix:





"milivella" <milive... at (no spam) gmail.com> wrote in message

news:347fcc5b-bf30-44da-a3ac-713fcaf42083 at (no spam) k17g2000yqb.googlegroups.com....
Enzo:

In fact I'd like to make the formula better. But date of birth and
points are the only data -

But there is additional information around. The club the player is at, the
role he plays in, how many top league appearances and goals he has
accumulated so far, possibly even how many CL appearances and goals as well.

The "ideal" formula would be calculated as follows (example for Italy)

1) Collect data on an entire cohort of players. Say, all players born in
1970-1971 who played in the Italian Campionato Primavera in 1989-1990.

2) For each player and every year, calculate:
  - cumulative number of NT caps and goals
  - cumulative number of Serie A appearances and goals.
  - current club
  - current role

3) In 2010, once this cohort's career is essentially over,
run the following set of regressions (separately for each age a)

TOTAL_ADDITIONAL_CAPS(a) = B0_a + B1_a*CAPS(a) + B2_a*NTGOALS(a) +
      + B3_a*SERIEA_APPEARANCES(a) + B4_a*SERIEA_goals(a) +
      + B5_a*CLUB(a) + B6_a*ROLE(a)

TOTAL_ADDITIONAL_NTGOALS(a) = B0_a + B1_a*CAPS(a) + B2_a*NTGOALS(a) +
      + B3_a*SERIEA_APPEARANCES(a) + B4_a*SERIEA_goals(a) +
      + B5_a*CLUB(a) + B6_a*ROLE(a)

where TOTAL_ADDITIONAL_CAPS(a) is the total number of additional caps won by
a given player after age a, CAPS(a) is the total number of CAPS up to age a,
and so on.

Then, you have for each age a, a predicted number of additional caps and
goals for each player.

Conceptually, very easy.
Practically, impossible to implement.

:)

Yes, it's impossible to implement. Still, if we want to talk theory, I
would not take note of appearances and club, replacing them with
points obtained by the team player X played (or started). (OK, a
quicker - and maybe not less fair - option would be total_team_points/
percentual_of_matches_played_by_X)

Also: "role" is not objective. What about "goals per game ratio"
instead?

But I expect from you the perfect formula to avoid predicting 500 caps
for Santon! :)

I really don't know how to fix it... I'm just doing a step back, and
using this simple formula (for players younger than 37!):
points/((age-17)/19)
E.g. Take a player who (1) is at the middle of his career, i.e. is 26
years and 6 months old, and (2) has 10 points: he is expected to score
in the second part of his career the same amount of points he has
scored so far, i.t. another 10 points:
10/((26.5-17)/19) = 20

Al least the expected scores are more realistic now, the ranking
remaining acceptable:
1. Walcott 104
2. Gago     99
3. Santon   95
4. Pato     86
5. Pique    76
5. Marin    76
7. Rossi    71
8. Cazorla  71
9. Busquets 57
9. Mata     57

And this would be the expected score of each RSSer:
 1. Enzo       25
 2. Andrea V.  16
 3. Michael H. 12
 4. Daniele    10
 4. Jesus      10
 6. Sid         8
 7. Abubakr     6
 8. William     5
 9. Mark        1
10. Tom         0

Where have I to sign?

--
Cheers
milivella- Hide quoted text -

- Show quoted text -

Using the same principle as you use now is fine,
too. For each of the 8 NTs, for any pick P from NT-n,
calculate his projected numbers by calculating
the average C or G of all players from NT-n who
have >= current C or G of P, irrespective
of age. This average will naturally be higher for a P
with 20 C already, than for P with 0 C, thus naturally
projecting someone with more C today as likely to have a
higher career C than someone with 1 C just because
he is 17 ( which is where the flaw lies in the
current formula, and which is why I am at the top,
something which made me criticise this formula in
the first place ).

Then, adjust for P's age as follows. When calculating
the average C for all NT-n players with minimum C(P)
above ( and this is easily determined actually, I can
write something which will automatically calculate it
everytime given a database ), also calculate the average
career span of all these players in years. The rest is
easy.
 
Enzo...
Posted: Fri Oct 16, 2009 4:28 pm
Guest
On Oct 17, 2:26 am, Enzo <s_debgu... at (no spam) yahoo.com> wrote:
Quote:
On Oct 16, 10:52 pm, milivella <milive... at (no spam) gmail.com> wrote:





Futbolmetrix:

"milivella" <milive... at (no spam) gmail.com> wrote in message

news:347fcc5b-bf30-44da-a3ac-713fcaf42083 at (no spam) k17g2000yqb.googlegroups.com....
Enzo:

In fact I'd like to make the formula better. But date of birth and
points are the only data -

But there is additional information around. The club the player is at, the
role he plays in, how many top league appearances and goals he has
accumulated so far, possibly even how many CL appearances and goals as well.

The "ideal" formula would be calculated as follows (example for Italy)

1) Collect data on an entire cohort of players. Say, all players born in
1970-1971 who played in the Italian Campionato Primavera in 1989-1990..

2) For each player and every year, calculate:
  - cumulative number of NT caps and goals
  - cumulative number of Serie A appearances and goals.
  - current club
  - current role

3) In 2010, once this cohort's career is essentially over,
run the following set of regressions (separately for each age a)

TOTAL_ADDITIONAL_CAPS(a) = B0_a + B1_a*CAPS(a) + B2_a*NTGOALS(a) +
      + B3_a*SERIEA_APPEARANCES(a) + B4_a*SERIEA_goals(a) +
      + B5_a*CLUB(a) + B6_a*ROLE(a)

TOTAL_ADDITIONAL_NTGOALS(a) = B0_a + B1_a*CAPS(a) + B2_a*NTGOALS(a) +
      + B3_a*SERIEA_APPEARANCES(a) + B4_a*SERIEA_goals(a) +
      + B5_a*CLUB(a) + B6_a*ROLE(a)

where TOTAL_ADDITIONAL_CAPS(a) is the total number of additional caps won by
a given player after age a, CAPS(a) is the total number of CAPS up to age a,
and so on.

Then, you have for each age a, a predicted number of additional caps and
goals for each player.

Conceptually, very easy.
Practically, impossible to implement.

:)

Yes, it's impossible to implement. Still, if we want to talk theory, I
would not take note of appearances and club, replacing them with
points obtained by the team player X played (or started). (OK, a
quicker - and maybe not less fair - option would be total_team_points/
percentual_of_matches_played_by_X)

Also: "role" is not objective. What about "goals per game ratio"
instead?

But I expect from you the perfect formula to avoid predicting 500 caps
for Santon! :)

I really don't know how to fix it... I'm just doing a step back, and
using this simple formula (for players younger than 37!):
points/((age-17)/19)
E.g. Take a player who (1) is at the middle of his career, i.e. is 26
years and 6 months old, and (2) has 10 points: he is expected to score
in the second part of his career the same amount of points he has
scored so far, i.t. another 10 points:
10/((26.5-17)/19) = 20

Al least the expected scores are more realistic now, the ranking
remaining acceptable:
1. Walcott 104
2. Gago     99
3. Santon   95
4. Pato     86
5. Pique    76
5. Marin    76
7. Rossi    71
8. Cazorla  71
9. Busquets 57
9. Mata     57

And this would be the expected score of each RSSer:
 1. Enzo       25
 2. Andrea V.  16
 3. Michael H. 12
 4. Daniele    10
 4. Jesus      10
 6. Sid         8
 7. Abubakr     6
 8. William     5
 9. Mark        1
10. Tom         0

Where have I to sign?

--
Cheers
milivella- Hide quoted text -

- Show quoted text -

Using the same principle as you use now is fine,
too. For each of the 8 NTs, for any pick P from NT-n,
calculate his projected numbers by calculating
the average C or G of all players from NT-n who
have >= current C or G of P, irrespective
of age. This average will naturally be higher for a P
with 20 C already, than for P with 0 C, thus naturally
projecting someone with more C today as likely to have a
higher career C than someone with 1 C just because
he is 17 ( which is where the flaw lies in the
current formula, and which is why I am at the top,
something which made me criticise this formula in
the first place ).

Then, adjust for P's age as follows. When calculating
the average C for all NT-n players with minimum C(P)
above ( and this is easily determined actually, I can
write something which will automatically calculate it
everytime given a database ), also calculate the average
career span of all these players in years. The rest is
easy.- Hide quoted text -

- Show quoted text -

I just want to add that any formula that does not displace
me from 1st place will not pass my approval ...
 
milivella...
Posted: Sat Oct 17, 2009 10:47 am
Guest
milivella:

[Age-bias]

Quote:
More: the formula is self-consistent!

Another feature that a good formula should have is maybe to produce a
power-law-like distribution, i.e. few players should predicted 100
points, many should be predicted 1 point. (current simplistic formula?
quick check... pass this test)

--
Cheers
milivella
 
milivella...
Posted: Sun Oct 18, 2009 4:06 am
Guest
milivella:

Quote:
More: the formula is self-consistent!

Of course this was only important in the context of replying to Enzo's
criticism. The real positive feature that a prediction formula should
have is to be good at predicting not the future *predicted* ranking,
but the future *real* ranking.

Of course we have to wait 15 or more years before comparing the actual
predicted ranking and the real final ranking. But we can do at least
two things:
1. Checking how good a formula is at predicting the real career of a
set of past players (a different set from the one you eventually used
to design the formula).
2. Checking how good a formula is at predicting the actual FS scores,
given past data.

I think that we could use these benchmarks to compare different
formulas (Enzo, Daniele, I'm challenging you! Wink ).

Here is how the simplistic linear formula rates according to these
benchmarks (abstract: not well!).

---

1. Real career of past players (top 10 historic players by FS points:
http://fantasyscout.altervista.org/history.htm )

Correlation

Age, Correlation
17 0.50
18 0.50
19 0.52
20 0.53
21 0.69
22 0.64
23 0.62
24 0.54
25 0.46
26 0.35
27 0.22
28 0.14
29 0.22
30 0.35
31 0.30
32 0.51
33 0.80
34 0.82
35 0.82
36 0.82
37 0.91
38 0.99
39 1.00

Distance = square root of ((projected_score_player_A-
real_score_player_A)^2 + (projected_score_player_B-real_score_player_B)
^2 + etc.) [I don't know whether this is the right formula, and anyway
what's its technical name]

Age, Distance
17 441
18 490
19 487
20 458
21 395
22 346
23 287
24 222
25 183
26 148
27 140
28 136
29 150
30 147
31 138
32 119
33 96
34 76
35 50
36 31
37 21
38 7
39 0

I.e. if I'm not wrong, the formula is off of an average of 49 points
when the player is 18-19, while the distance is 14 when his career is
at its middle point (27 y.o.).

(I'm sure that there is a better measure than these two. Help!)

---

2. Predicting the current scores

Using matches played up to October 2008 by the 86 players picked up to
that point
Correlation predicted score -> real 2009 score = 0.68
Correlation real 2008 score -> real 2009 score = 0.86 !

Using matches played up to October 2007 by the 18 players picked up to
that point
Correlation predicted score -> real 2009 score = 0.85
Correlation real 2007 score -> real 2009 score = 0.86

--
Cheers
milivella
 
milivella...
Posted: Sat Oct 24, 2009 5:05 am
Guest
Enzo:

Quote:
On Oct 17, 5:43 pm, milivella <milive... at (no spam) gmail.com> wrote:

Enzo:

Let's see whether I got it. For example, I want to compute Messi's
projected cup.

For each of the 8 NTs, for any pick P from NT-n,
calculate his projected numbers by calculating
the average C or G of all players from NT-n who
have >= current C or G of P, irrespective
of age.

OK, I take Argentina datahttp://rsssf.com/miscellaneous/arg-recintlp.html
and put them in Excel. Messi has 39 caps. There are 49 players
(excluding Messi) with 39 or more caps. In average, they have 57.82
caps.

Messi will probably get more than 57 caps. But Otamendi will
probably get far fewer than what your formula gives him.

Far fewer than 21? (he already has 5) Maybe.

But of course this is not the point. The real question is: will the
*average* player who is 22 and has 5 caps get 16 more caps before
retiring? Or (in Messi's case, he too 22): what is he already has 39
caps?

I think that my simple formula (a formula that IMHO needs to be
replaced!) isn't too optimistic when it replies to such questions.
(But of course I think that Messi will have less than 146 caps!)

Quote:
[Question: if a player has 0 caps, there are million of players with
more or same caps. So their average is 0.000...1 (i.e. 0 by any
approximation), isn't it?]

0-cap players will be projected to get 0 caps.

OK.

Quote:
I agree that 1-cap players projection will be problematic for
lack of complete data.

If they are not available, we could run a regression to know how many
players could have 29, 28, 27... 3, 2, 1 caps. I've already checked
that regression works in such a context:
http://groups.google.com/group/rec.sport.soccer/browse_thread/thread/8c0eb9b6577c6847/

Quote:
This average will naturally be higher for a P
with 20 C already, than for P with 0 C, thus naturally
projecting someone with more C today as likely to have a
higher career C than someone with 1 C just because
he is 17 ( which is where the flaw lies in the
current formula, and which is why I am at the top,
something which made me criticise this formula in
the first place ).

Indeed your score is determined by Busquets (21 y.o., 40 estimated
points) and Otamendi (22 y.o., 18 e.p.), and there are 3 players
(Walcott, Santon, Pato) that are younger than Busquets and have an
higher estimated score, but they don't make their scout (me, Alberto,
Jesus) first! (and anyway, those players have at least 5 times more
caps than 1...)

They dont make you first because of averaging. You chose more
players. That is not relevant to the discussion of how best
to project, for a given single player, his future marks.

So don't criticize the formula just because your average score is the
highest one! ;)

Quote:
And I don't find the principle unreasonable: the same player X when
he's 17 has a minor or equal number of caps than when he's 36, despite
having the same number of final career caps. So you can expect that a
17 y.o. has less caps than a 36 y.o. of the same strength. Am I wrong?

I am not sure what you mean.

Sorry. Let me try again (twice):
- Find me a player whose caps tally was higher when 17 than when 36.
- Or: let's make a bet. I'm thinking about two real players, and I'll
tell you only some data about them: their age and their caps tally.
Player A is 17 and has 2 caps, while player B is 36 and has 2 caps.
Now, I'll give you 100 RSS-dollars if you'll answer correctly to the
following question: who will have a higher caps tally at the end of
their career? A or B?

Quote:
But back to Messi:

Then, adjust for P's age as follows. When calculating
the average C for all NT-n players with minimum C(P)
above ( and this is easily determined actually, I can
write something which will automatically calculate it
everytime given a database ), also calculate the average
career span of all these players in years.

I.e.? If Zanetti played his first international match in 1994 and his
last in 2009, has he a career span of 16 years?

If so, the average career span is 9.55 (all the players) or 9.48 (only
retired players) years. Which number should I take?

All retired players, I guess.

OK.

Quote:
Anyway, in this case they are pretty close, so let's say that the
average career is 9.5 years.

[Question: what if P is the player with most caps or goals in the
history of his NT?]

Then he will be projected to receive zero more caps and goals.

Even if he's still in his prime? :/

Quote:
The rest is
easy.

Not for me! Smile What should I do now?

Career span not in NT but total.

I.e. Romario's career span is 1985-2008?

Quote:
So,

Average NT caps for all players with Messi's caps is 57?
Messi has 40?

Average 1st class career span for all players with Messi's caps is 15?
Messi 1st class career span is 5? He is a special one! He will
get 120 caps.

But you aren't using the "57" data anymore, are you? If you don't use
it, you are pretty close to my simple formula... (in fact, 120 is not
so far from 146!)

Quote:
36-year old Schiavi has 3 caps. His career span is now 16 years.
Average career span of NT players with 3 caps is 15, lets say.
Schiavi will not get another cap. But, who knows, he may be
a special one too. Average NT caps of all players with 3 or
more caps is 10? Give the sucker 7 more.

You should decide... ;)

I am sorry for having replied after a lot of time. Unfortunately, I
have little free time. BTW, this is the reason why I'm not posting
anymore about my FS possible reforms, even if I'm still thinking about
them.

--
Cheers
milivella
 
milivella...
Posted: Sat Oct 24, 2009 1:03 pm
Guest
milivella:

Quote:
2. Predicting the current scores

Using matches played up to October 2008 by the 86 players picked up to
that point
Correlation predicted score -> real 2009 score = 0.68
Correlation real 2008 score -> real 2009 score = 0.86 !

Using matches played up to October 2007 by the 18 players picked up to
that point
Correlation predicted score -> real 2009 score = 0.85
Correlation real 2007 score -> real 2009 score = 0.86

To use the predicted _final_ score was wrong. The right method is to
use tweak the formula to predict just the next (1 or) 2 years:
prediction = points_so_far * ((age-15)/20) / ((age-17)/20)

Using matches played up to October 2008 by the 86 players picked up to
that point
Correlation predicted score -> real 2009 score = 0.85
Correlation real 2008 score -> real 2009 score = 0.86

Using matches played up to October 2007 by the 18 players picked up to
that point
Correlation predicted score -> real 2009 score = 0.86
Correlation real 2007 score -> real 2009 score = 0.86

More, we can now compute the "distance" between the real 2009 score
and the predicted score:
2008: 32.75
2007: 23.17

For the sake of comparison, the distance between real scores is 35.67
(2008) and 26.91 (2007).

--
Cheers
milivella
 
Enzo...
Posted: Sat Oct 24, 2009 6:15 pm
Guest
On Oct 24, 3:05 pm, milivella <milive... at (no spam) gmail.com> wrote:
Quote:
Enzo:





On Oct 17, 5:43 pm, milivella <milive... at (no spam) gmail.com> wrote:

Enzo:

Let's see whether I got it. For example, I want to compute Messi's
projected cup.

For each of the 8 NTs, for any pick P from NT-n,
calculate his projected numbers by calculating
the average C or G of all players from NT-n who
have >= current C or G of P, irrespective
of age.

OK, I take Argentina datahttp://rsssf.com/miscellaneous/arg-recintlp.html
and put them in Excel. Messi has 39 caps. There are 49 players
(excluding Messi) with 39 or more caps. In average, they have 57.82
caps.

Messi will probably get more than 57 caps. But Otamendi will
probably get far fewer than what your formula gives him.

Far fewer than 21? (he already has 5) Maybe.

But of course this is not the point. The real question is: will the
*average* player who is 22 and has 5 caps get 16 more caps before
retiring? Or (in Messi's case, he too 22): what is he already has 39
caps?

I think that my simple formula (a formula that IMHO needs to be
replaced!) isn't too optimistic when it replies to such questions.
(But of course I think that Messi will have less than 146 caps!)

[Question: if a player has 0 caps, there are million of players with
more or same caps. So their average is 0.000...1 (i.e. 0 by any
approximation), isn't it?]

0-cap players will be projected to get 0 caps.

OK.

I agree that 1-cap players projection will be problematic for
lack of complete data.

If they are not available, we could run a regression to know how many
players could have 29, 28, 27... 3, 2, 1 caps. I've already checked
that regression works in such a context:http://groups.google.com/group/rec.sport.soccer/browse_thread/thread/...





This average will naturally be higher for a P
with 20 C already, than for P with 0 C, thus naturally
projecting someone with more C today as likely to have a
higher career C than someone with 1 C just because
he is 17 ( which is where the flaw lies in the
current formula, and which is why I am at the top,
something which made me criticise this formula in
the first place ).

Indeed your score is determined by Busquets (21 y.o., 40 estimated
points) and Otamendi (22 y.o., 18 e.p.), and there are 3 players
(Walcott, Santon, Pato) that are younger than Busquets and have an
higher estimated score, but they don't make their scout (me, Alberto,
Jesus) first! (and anyway, those players have at least 5 times more
caps than 1...)

They dont make you first because of averaging. You chose more
players. That is not relevant to the discussion of how best
to project, for a given single player, his future marks.

So don't criticize the formula just because your average score is the
highest one! ;)

And I don't find the principle unreasonable: the same player X when
he's 17 has a minor or equal number of caps than when he's 36, despite
having the same number of final career caps. So you can expect that a
17 y.o. has less caps than a 36 y.o. of the same strength. Am I wrong?

I am not sure what you mean.

Sorry. Let me try again (twice):
- Find me a player whose caps tally was higher when 17 than when 36.
- Or: let's make a bet. I'm thinking about two real players, and I'll
tell you only some data about them: their age and their caps tally.
Player A is 17 and has 2 caps, while player B is 36 and has 2 caps.
Now, I'll give you 100 RSS-dollars if you'll answer correctly to the
following question: who will have a higher caps tally at the end of
their career? A or B?





But back to Messi:

Then, adjust for P's age as follows. When calculating
the average C for all NT-n players with minimum C(P)
above ( and this is easily determined actually, I can
write something which will automatically calculate it
everytime given a database ), also calculate the average
career span of all these players in years.

I.e.? If Zanetti played his first international match in 1994 and his
last in 2009, has he a career span of 16 years?

If so, the average career span is 9.55 (all the players) or 9.48 (only
retired players) years. Which number should I take?

All retired players, I guess.

OK.

Anyway, in this case they are pretty close, so let's say that the
average career is 9.5 years.

[Question: what if P is the player with most caps or goals in the
history of his NT?]

Then he will be projected to receive zero more caps and goals.

Even if he's still in his prime? :/

The rest is
easy.

Not for me! Smile What should I do now?

Career span not in NT but total.

I.e. Romario's career span is 1985-2008?

So,

Average NT caps for all players with Messi's caps is 57?
Messi has 40?

Average 1st class career span for all players with Messi's caps is 15?
Messi 1st class career span is 5? He is a special one! He will
get 120 caps.

But you aren't using the "57" data anymore, are you? If you don't use
it, you are pretty close to my simple formula... (in fact, 120 is not
so far from 146!)

36-year old Schiavi has 3 caps. His career span is now 16 years.
Average career span of NT players with 3 caps is 15, lets say.
Schiavi will not get another cap. But, who knows, he may be
a special one too. Average NT caps of all players with 3 or
more caps is 10? Give the sucker 7 more.

You should decide... ;)

I am sorry for having replied after a lot of time. Unfortunately, I
have little free time. BTW, this is the reason why I'm not posting
anymore about my FS possible reforms, even if I'm still thinking about
them.

--
Cheers
milivella- Hide quoted text -

- Show quoted text -- Hide quoted text -

- Show quoted text -- Hide quoted text -

- Show quoted text -

The formula use you to predict is no longer on the site.
I clearly remember it, but it seems i may have interpreted
it wrongly. Otamendi more than 21? I dont understand.
If you can put that stuff back on the site, I will be able
to better answer your questions.

Thanks.
 
Futbolmetrix...
Posted: Tue Oct 27, 2009 11:25 pm
Guest
"milivella" <milivella at (no spam) gmail.com> wrote in message
news:9961c7fe-f3df-4b9b-993c-14ce4ac08f11 at (no spam) j24g2000yqa.googlegroups.com...

My predicted final ranking (very partial, algorithm still needs substantial
improvement):

+-----------------------+
| scout mean_P~D |
|-----------------------|
1. | Enzo 33.86321 |
6. | Cristian 23.6988 |
12. | Matthias 22.57375 |
17. | Alessandro 17.20138 |
23. | Mattia 17.20103 |
|-----------------------|
32. | Alberto 16.30108 |
37. | Sid 16.13473 |
41. | Michael H. 15.96837 |
61. | Abubakr 15.02278 |
65. | Andrea V. 14.10277 |
|-----------------------|
90. | Daniele 11.35696 |
105. | William 10.73824 |
115. | Benny 9.606962 |
140. | Nigel 7.832734 |
144. | Generoso 6.710965 |
|-----------------------|
156. | Tom one 5.797633 |
168. | Mpfat 5.375605 |
173. | Jesus 5.302326 |
182. | Simone G. 3.980286 |
188. | Mark 3.643015 |



All the other scouts at zero.

The best predicted FS scorers:

+------------------------------+
| player PREDIC~E |
|------------------------------|
1. | Pique 61.3943 |
2. | Cazorla 60.05754 |
3. | Gago 59.21056 |
4. | Rossi 57.48428 |
5. | Busquets 50.08788 |
|------------------------------|
6. | Mata 50.08788 |
7. | Santon 49.65768 |
8. | Gignac 48.54477 |
9. | Walcott 47.78078 |
10. | Alexandre Pato 47.72094 |
|------------------------------|
11. | Ozil 46.14777 |
12. | Guiza 46.08788 |
13. | Marin 45.75086 |
14. | Quagliarella 45.72399 |
15. | Tasci 43.72422 |
|------------------------------|
16. | Mandanda 42.72654 |
17. | Otamendi 42.20765 |
18. | Marcelo 41.29748 |
19. | Di Maria 41.23759 |
20. | Montolivo 39.72654 |
|------------------------------|
21. | Beck 39.72422 |
22. | Zuculini 39.29399 |
23. | Salvio 39.29399 |
24. | De Federico 38.78077 |
25. | Sissoko 38.78077 |
|------------------------------|
26. | Lloris 38.24066 |
27. | Adler 37.75684 |
28. | Elia 37.75421 |
29. | Llorente 37.72654 |
30. | Arbeloa 37.72399 |
|------------------------------|
31. | Andre Santos 37.66089 |
32. | Milner 37.24066 |
33. | Sandro 36.8107 |
34. | Insua 36.8107 |
35. | Higuain 35.78421 |
|------------------------------|
36. | Lucas 34.84419 |
37. | Boateng 34.32743 |
38. | Monzon 33.81419 |
39. | Gomis 32.87802 |
40. | Young 32.84772 |
|------------------------------|
41. | Bolatti 32.78713 |
42. | Negredo 32.78713 |
43. | Diego Tardelli 32.78713 |
44. | Agbonlahor 32.33094 |
45. | Datolo 32.27249 |
|------------------------------|
46. | Lavezzi 31.84772 |
47. | Khedira 31.84419 |
48. | Remy 31.84419 |
49. | Monreal 31.33093 |
50. | Marchisio 31.33093 |
|------------------------------|
51. | Criscito 31.33093 |
52. | Perez 31.33093 |
53. | Bocchetti 31.33093 |
54. | Dossena 29.80747 |
55. | Neuer 29.36103 |
|------------------------------|
56. | Clichy 28.87802 |
57. | Braafheid 27.81862 |
58. | D'Agostino 27.29948 |
59. | Filipe 26.87802 |
60. | Diego Souza 26.87802 |
|------------------------------|
61. | Marchetti 23.88171 |
62. | Loovens 21.91326 |
63. | Dominguez 16.43768 |
64. | Brana 12.01924 |

All others at zero.

Obviously, the first fix that needs to be implemented is to get rid of the
assumption that if a player has a current score of zero, then he will never
score any FS points. But, if I understand correctly, Andrea's formula
suffers from the same problem.

Explanations to follow.

D
 
Futbolmetrix...
Posted: Wed Oct 28, 2009 8:53 am
Guest
"Futbolmetrix" <futbolmetrix at (no spam) yahoo.com> wrote in message
news:hc8kk8$f34$1 at (no spam) news.eternal-september.org...
Quote:

"milivella" <milivella at (no spam) gmail.com> wrote in message
news:9961c7fe-f3df-4b9b-993c-14ce4ac08f11 at (no spam) j24g2000yqa.googlegroups.com...

My predicted final ranking (very partial, algorithm still needs
substantial improvement):

Updated prediction, does not restrict players with zero current score to
have zero score in the future.

+--------------------------------------------------------+
| scout scout_id MEANSCORE TOTSCORE TOTPLAYERS |
|--------------------------------------------------------|
4. | Enzo 12 33.5164 167.582 5 |
9. | Alberto 2 29.9316 149.658 5 |
15. | Alessandro 3 29.759 178.554 6 |
17. | Matthias 21 29.6968 148.484 5 |
27. | Cristian 8 29.027 174.162 6 |
|--------------------------------------------------------|
36. | Giovanni 15 28.31692 368.12 13 |
57. | Michael H. 23 28.2109 564.218 20 |
61. | Generoso 13 27.914 334.968 12 |
73. | Sid 29 27.518 110.072 4 |
82. | Daniel O. 10 27.43833 164.63 6 |
|--------------------------------------------------------|
84. | Nigel 26 27.368 109.472 4 |
97. | Andrea V. 6 27.35192 683.798 25 |
113. | Andrea B. 4 27.22467 81.674 3 |
119. | William 35 27.2088 272.088 10 |
125. | Mago 19 26.97 26.97 1 |
|--------------------------------------------------------|
128. | Tommaso 34 26.926 107.704 4 |
135. | Simone R. 31 26.844 268.44 10 |
141. | Daniel B. 9 26.7796 133.898 5 |
148. | Riccardo 28 26.7252 133.626 5 |
154. | Andrea C. 5 26.69086 186.836 7 |
|--------------------------------------------------------|
157. | Michael M. 24 26.288 52.576 2 |
169. | Benny 7 25.8834 647.085 25 |
193. | Daniele 11 25.78653 386.798 15 |
211. | Pietro 27 25.71487 411.438 16 |
218. | Jacopo 17 25.4015 101.606 4 |
|--------------------------------------------------------|
219. | Giulio 16 25.354 202.832 8 |
227. | Abubakr 1 25.1875 100.75 4 |
232. | Simone G. 30 25.144 150.864 6 |
242. | Gianmarco 14 25.14275 201.142 8 |
253. | Mark 20 25.10222 225.92 9 |
|--------------------------------------------------------|
257. | Jesus 18 23.71578 213.442 9 |
273. | Tom one 32 23.40517 280.862 12 |
279. | Mattia 22 21.29422 191.648 9 |
284. | Tom two 33 20.062 20.062 1 |
288. | Mpfat 25 19.3212 96.606 5 |
+--------------------------------------------------------+


And here is the predicted player rankings:

+------------------------------+
| player mean_P~E |
|------------------------------|
1. | Cazorla 56.376 |
2. | Pique 54.83099 |
3. | Gago 53.774 |
4. | Rossi 49.398 |
5. | Santon 42.864 |
|------------------------------|
6. | Busquets 42.55 |
7. | Walcott 42.384 |
8. | Alexandre Pato 42.07 |
9. | Quagliarella 41.312 |
10. | Guiza 40.994 |
|------------------------------|
11. | Mata 40.452 |
12. | Gignac 39.79 |
13. | Marin 39.436 |
14. | Ozil 39.36 |
15. | Tasci 38.41 |
|------------------------------|
16. | Mandanda 36.936 |
17. | Marcelo 36.288 |
18. | Di Maria 35.824 |
19. | Otamendi 35.578 |
20. | Anderson 34.748 |
|------------------------------|
21. | Beck 33.976 |
22. | Sissoko 33.952 |
23. | Montolivo 33.864 |
24. | Andre Santos 33.824 |
25. | Salvio 33.58 |
|------------------------------|
26. | De Federico 33.328 |
27. | Zuculini 33.236 |
28. | Elia 32.718 |
29. | Sandro 32.54 |
30. | Arbeloa 32.258 |
|------------------------------|
31. | Lloris 32.074 |
32. | Insua 31.994 |
33. | Milner 31.978 |
34. | Adler 31.85 |
35. | Lucas 31.284 |
|------------------------------|
36. | Llorente 30.764 |
37. | Boateng 30.518 |
38. | Higuain 29.832 |
39. | Neymar 29.774 |
40. | Muniain 29.772 |
|------------------------------|
41. | Gomis 29.452 |
42. | Trecarichi 29.336 |
43. | Ozyakup 29.124 |
44. | Caldirola 29.044 |
45. | Monzon 29.036 |
|------------------------------|
46. | Douglas P. 29.008 |
47. | Krkic 28.936 |
48. | Gallinetta 28.912 |
49. | Castaignos 28.91 |
50. | Sneijder 28.882 |
|------------------------------|
51. | Comi 28.808 |
52. | Albertazzi 28.722 |
53. | Wilshere 28.72 |
54. | Fossati 28.688 |
55. | Sukuta-Pasu 28.684 |
|------------------------------|
56. | Macheda 28.678 |
57. | Borini 28.666 |
58. | Zigoni 28.63 |
59. | Pacheco 28.6 |
60. | Bartley 28.566 |
|------------------------------|
61. | Destro 28.552 |
62. | Marrone 28.488 |
63. | Laribi 28.486 |
64. | Luciani 28.476 |
65. | Capel 28.348 |
|------------------------------|
66. | Alcantara 28.342 |
67. | Beretta 28.336 |
68. | Remy 28.284 |
69. | Welbeck 28.284 |
70. | El Sharaawy 28.216 |
|------------------------------|
71. | Douglas C. 28.19 |
72. | Aquino 28.186 |
73. | Agbonlahor 28.148 |
74. | Gosling 28.146 |
75. | Crisetig 28.138 |
|------------------------------|
76. | Sakho 28.126 |
77. | Mattock 28.124 |
78. | Crescenzi 28.08 |
79. | Young 28.054 |
80. | Balotelli 28.042 |
|------------------------------|
81. | Morosini 28.036 |
82. | Lulinha 27.994 |
83. | Diego Tardelli 27.98 |
84. | Zeefuik 27.966 |
85. | Maicon 27.94 |
|------------------------------|
86. | Marcellis 27.94 |
87. | Baxter 27.878 |
88. | Alex Texeira 27.874 |
89. | Munoz 27.852 |
90. | Banega 27.8 |
|------------------------------|
91. | Paloschi 27.792 |
92. | Mannini 27.774 |
93. | Immobile 27.766 |
94. | Lavezzi 27.762 |
95. | Nsue 27.712 |
|------------------------------|
96. | Giuliano 27.69 |
97. | Saivet 27.68 |
98. | Barazite 27.634 |
99. | Kakuta 27.634 |
100. | Holtby 27.628 |
|------------------------------|
101. | Aydilek 27.626 |
102. | Muller 27.624 |
103. | Fabio 27.544 |
104. | Forestieri 27.54 |
105. | Obertan 27.51 |
|------------------------------|
106. | Kroos 27.496 |
107. | Pastore 27.49 |
108. | Rafael 27.476 |
109. | Khedira 27.422 |
110. | Jo 27.404 |
|------------------------------|
111. | Fiorillo 27.364 |
112. | Sciacca 27.35 |
113. | Pasquato 27.344 |
114. | Ciano 27.296 |
115. | Alan Kardec 27.292 |
|------------------------------|
116. | Bellusci 27.264 |
117. | Falque 27.228 |
118. | Angella 27.222 |
119. | Merida 27.174 |
120. | Okaka Chuka 27.166 |
|------------------------------|
121. | Renan Oliveira 27.13 |
122. | Kopplin 27.128 |
123. | Wijnaldum 27.108 |
124. | Asenjo 27.106 |
125. | Monreal 27.072 |
|------------------------------|
126. | Walter 27.018 |
127. | Negredo 26.998 |
128. | Mustacchio 26.982 |
129. | Poli 26.97 |
130. | Marconi 26.966 |
|------------------------------|
131. | Garcia 26.952 |
132. | Marilungo 26.908 |
133. | Rodwell 26.89 |
134. | Camacho 26.882 |
135. | Sidnei 26.872 |
|------------------------------|
136. | Ciro 26.864 |
137. | Di Santo 26.848 |
138. | Piatti 26.836 |
139. | Badstuber 26.798 |
140. | Bocchetti 26.706 |
|------------------------------|
141. | Traore 26.69 |
142. | Conti 26.688 |
143. | Perez 26.678 |
144. | Criscito 26.656 |
145. | Gibbs 26.654 |
|------------------------------|
146. | Breno 26.652 |
147. | N'gog 26.644 |
148. | Sturridge 26.614 |
149. | Ariaudo 26.606 |
150. | Di Gennaro 26.534 |
|------------------------------|
151. | de Jong 26.53 |
152. | Marchisio 26.528 |
153. | Parejo 26.474 |
154. | Niguez 26.456 |
155. | Azpilicueta 26.454 |
|------------------------------|
156. | Bonaventura 26.428 |
157. | Datolo 26.422 |
158. | Bolatti 26.372 |
159. | Cia 26.358 |
160. | Mazzotta 26.358 |
|------------------------------|
161. | Gebhart 26.354 |
162. | Willian 26.3 |
163. | Keirrison 26.294 |
164. | Thuram-Ulien 26.272 |
165. | Marquinhos 26.248 |
|------------------------------|
166. | Ranocchia 26.232 |
167. | Dentinho 26.206 |
168. | Kerlon 26.11 |
169. | Ogbonna 26.092 |
170. | Dossena 25.988 |
|------------------------------|
171. | Raggio Garibaldi 25.924 |
172. | Taison 25.878 |
173. | De Silvestri 25.862 |
174. | Martinez 25.86 |
175. | Denilson 25.822 |
|------------------------------|
176. | Donald 25.738 |
177. | Nijland 25.724 |
178. | Renato Augusto 25.692 |
179. | Muamba 25.68 |
180. | Buonanotte 25.64 |
|------------------------------|
181. | Barillā 25.568 |
182. | Mancienne 25.536 |
183. | Biabiany 25.464 |
184. | Guilherme 25.454 |
185. | Aissati 25.422 |
|------------------------------|
186. | Enves 25.248 |
187. | Garay 25.17 |
188. | Cattermole 25.168 |
189. | Neuer 25.128 |
190. | Mannone 25.044 |
|------------------------------|
191. | Vaughan 25.014 |
192. | Felipe Mattioni 24.996 |
193. | Clichy 24.942 |
194. | Bonucci 24.9 |
195. | Johnson 24.896 |
|------------------------------|
196. | Wheater 24.89 |
197. | Diaby 24.868 |
198. | Chantome 24.722 |
199. | de Guzman 24.72 |
200. | Fernando 24.694 |
|------------------------------|
201. | Philippe Coutinho 24.668 |
202. | Rodriguez 24.658 |
203. | Howedes 24.574 |
204. | Carlos Eduardo 24.544 |
205. | Granero 24.472 |
|------------------------------|
206. | Danilinho 24.35 |
207. | Matuidi 24.286 |
208. | Fazio 24.282 |
209. | Hart 24.276 |
210. | de la Red 24.25 |
|------------------------------|
211. | Bruins 24.204 |
212. | Campbell 24.12 |
213. | Bentley 24.11 |
214. | Cissokho 24.108 |
215. | Menez 23.988 |
|------------------------------|
216. | Rubin 23.942 |
217. | Candreva 23.888 |
218. | Giovinco 23.878 |
219. | Zarate 23.856 |
220. | Drenthe 23.838 |
|------------------------------|
221. | Baumjohann 23.758 |
222. | Aogo 23.586 |
223. | Noble 23.528 |
224. | Acquafresca 23.52 |
225. | Dessena 23.504 |
|------------------------------|
226. | Sirigu 23.472 |
227. | Susaeta 23.244 |
228. | Filipe 23.096 |
229. | Cabaye 23.046 |
230. | Diego Souza 23.008 |
|------------------------------|
231. | Paletta 22.92 |
232. | Marzoratti 22.792 |
233. | Vermeer 22.72 |
234. | Polanski 22.702 |
235. | Abate 22.622 |
|------------------------------|
236. | Gouffran 22.596 |
237. | Valeri 22.578 |
238. | D'Agostino 22.514 |
239. | Bertolo 22.458 |
240. | Motta M. 22.39 |
|------------------------------|
241. | Cigarini 22.296 |
242. | Braafheid 22.144 |
243. | Ustari 22.11 |
244. | Osvaldo 22.046 |
245. | De Ceglie 22.044 |
|------------------------------|
246. | Rafinha 21.822 |
247. | Santacroce 21.662 |
248. | Nocerino 21.534 |
249. | Kaboul 21.492 |
250. | Schumacher 21.322 |
|------------------------------|
251. | Tissone 21.256 |
252. | Thiago Neves 20.872 |
253. | Guarente 20.836 |
254. | Navas 20.616 |
255. | Compper 20.59 |
|------------------------------|
256. | Renan 20.58 |
257. | Viviano 20.524 |
258. | Flamini 20.45 |
259. | Marchetti 20.396 |
260. | Hernanes 20.234 |
|------------------------------|
261. | Coda 20.106 |
262. | Rami 20.062 |
263. | Zapater 20.048 |
264. | Tremoulinas 20.002 |
265. | Cahill 19.976 |
|------------------------------|
266. | Geromel 19.86 |
267. | Maidana 19.804 |
268. | Leandro Lima 19.638 |
269. | Loovens 18.644 |
270. | Cavenaghi 18.472 |
|------------------------------|
271. | Rosina 18.372 |
272. | Lell 18.06 |
273. | Hoarau 17.608 |
274. | Valbuena 17.306 |
275. | Baines 17.038 |
|------------------------------|
276. | Raggi 16.982 |
277. | Michel Bastos 15.53 |
278. | Turner 15.338 |
279. | Borriello 15.194 |
280. | Pennant 14.72 |
|------------------------------|
281. | Bianchi 14.562 |
282. | Dominguez 13.884 |
283. | Maggio C. 12.77 |
284. | Pelletieri 12.482 |
285. | Motta T. 12.04 |
|------------------------------|
286. | Brana 10.236 |
287. | Frey 7.102 |
288. | Amauri 4.618 |
289. | Ceara 4.266 |
+------------------------------+


Even though I find this theoretically more appealing, I'm not entirely
satisfied with the outcome (and not just because I tank completely under
this new ranking). Players who currently have zero caps are predicted to
score a bit too much for my taste.

Gory statistical details to follow.

D
 
milivella...
Posted: Sun Nov 01, 2009 10:33 am
Guest
milivella:

Quote:
I am sorry for having replied after a lot of time. Unfortunately, I
have little free time.

This is still true. Sad So, Daniele, I'll reply to your insightful post
(thanks!) about your prediction formula, but I'll do it later.

Quote:
BTW, this is the reason why I'm not posting
anymore about my FS possible reforms, even if I'm still thinking about
them.

And this is getting worse, because lately I've not enough mental
energy to think about a good reform. I hope that someone else will do
it. :)

--
Cheers
milivella
 
 
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