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Big 12 2022 redux

  • asteroid
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2 years 7 months ago #29181 by asteroid
ROCK CHALK CHAMPIONSHIP!

Here are some end-of-season statistics.  First, how did conference members do compared to
their pre-conference-season projections?  Here's the round-by-round trends.  Recall that
due to postponements, some teams had zero games in a round, and due to make-ups, some teams
had two games in a round.

                      Init.  Rd. 1  Rd. 2  Rd. 3  Rd. 4  Rd. 5  Rd. 6  Rd. 7  Rd. 8  Rd. 9
Pred                  Proj.  Proj.  Proj.  Proj.  Proj.  Proj.  Proj.  Proj.  Proj.  Proj.
Rank  Big XII Team    Wins   Wins   Wins   Wins   Wins   Wins   Wins   Wins   Wins   Wins 
----  -------------- ------ ------ ------ ------ ------ ------ ------ ------ ------ ------
#  7  Kansas          14.0   13.8   14.4   13.3   13.1   13.4   13.8   13.9   14.1   14.3 
#  3  Baylor          14.0   14.1   14.3   14.8   13.8   12.5   12.8   13.3   13.4   13.3 
# 13  Texas Tech       9.7    9.8    9.1   10.0   11.8   10.7   11.2   11.6   11.4   12.1 
# 17  Texas           10.6   11.2   11.7   10.6   11.2   10.6    9.5    9.4   10.0    9.5 
# 45  TCU              6.2    6.2    6.2    5.6    6.1    6.7    6.4    7.5    6.9    8.0 
# 43  Oklahoma State   7.3    7.3    6.8    7.7    6.6    7.9    7.9    7.7    7.1    6.6 
# 52  Iowa State       6.7    6.6    7.2    6.9    7.2    8.0    7.7    6.8    7.4    7.2 
# 38  Oklahoma         8.7    8.8    8.6    9.3    8.9    8.1    7.8    7.3    8.0    7.0 
# 68  Kansas State     4.9    4.8    4.3    4.2    3.5    4.5    5.7    5.6    5.5    5.8 
# 58  West Virginia    7.9    7.4    7.4    7.6    7.8    7.6    7.2    6.9    6.2    6.2 

                      Rd.10  Rd.11  Rd.12  Rd.13  Rd.14  Rd.15  Rd.16  Rd.17  Rd. 18
Pred                  Proj.  Proj.  Proj.  Proj.  Proj.  Proj.  Proj.  Proj.   Conf 
Rank  Big XII Team    Wins   Wins   Wins   Wins   Wins   Wins   Wins   Wins   Record
----  -------------- ------ ------ ------ ------ ------ ------ ------ ------  ------
#  7  Kansas          14.7   14.1   14.2   14.4   14.7   14.8   14.4   13.7    14  4
#  3  Baylor          12.6   12.9   13.2   12.6   12.8   13.0   13.4   13.9    14  4
# 13  Texas Tech      12.5   11.7   11.9   12.4   13.0   13.3   12.6   12.6    12  6
# 17  Texas           10.1   10.6   10.3   10.7   10.2   10.4   10.7   10.2    10  8
# 45  TCU              7.2    7.7    7.5    6.9    6.7    7.0    7.7    8.5     8 10
# 43  Oklahoma State   7.1    6.7    7.2    7.0    7.4    7.1    6.8    7.4     8 10
# 52  Iowa State       6.9    6.2    5.6    6.2    6.8    7.2    7.7    7.1     7 11
# 38  Oklahoma         6.4    7.2    7.0    6.6    6.0    5.8    6.1    6.5     7 11
# 68  Kansas State     6.7    6.5    7.2    7.6    7.2    7.1    6.6    6.5     6 12
# 58  West Virginia    5.9    6.4    5.9    5.4    5.2    4.3    4.0    3.6     4 14   

The difference between the actual conference record and the pre-conference season
projection:

                      Init.
Pred                  Proj.   Conf  
Rank  Big XII Team    Wins   Record  Diff
----  -------------- ------  ------  ----
# 13  Texas Tech       9.7    12  6  +2.3
# 45  TCU              6.2     8 10  +1.8
# 68  Kansas State     4.9     6 12  +1.1
# 43  Oklahoma State   7.3     8 10  +0.7
# 52  Iowa State       6.7     7 11  +0.3
#  3  Baylor          14.0    14  4   0.0
#  7  Kansas          14.0    14  4   0.0
# 17  Texas           10.6    10  8  -0.6
# 38  Oklahoma         8.7     7 11  -1.7
# 58  West Virginia    7.9     4 14  -3.9

Baylor and Kansas did exactly as projected.  Kansas State did better than projected,
but not good enough to save Weber's job.  West Virginia had a historically bad season.
Ironically, Huggins finally got into the Hall of Fame.  Give Adams Coach of the Year
for finishing more than 2 wins better than projected.  Of course, if the projections
had been done on November 1 instead of January 1, Iowa State would have done the best
relative to projection.

Best Prognosticator
-------------------
Of the various prognosticators that I consulted during the season, who did best?
Of course, it depends on how you define "best".  In this case, I simply compared
the actual margin to the predicted margin and summed the absolute values.  Next
season I may implement an RMS method as well, which would give more weight to
really close predictions, whereas a real stinker of a prediction would hurt much
more.  There were 98 total conference games, including the post-season tournament.
Real Time did not do predictions for those eight tournament games, and Seven Overtimes
was AWOL for nine games during the conference season.

Prognosticator                            Total Error   Per Game Error
------------------------------------      -----------   --------------
Massey                                       774.0           7.9
Vegas                                        782.0           8.0
Dolphin                                      782.2           8.0
Greenfield                                   783.0           8.0
ESPN BPI                                     785.4           8.0
Sagarin Predictor plus home court tweak      785.6           8.0
Sagarin Predictor                            789.7           8.1
Sagarin Predictor plus performance           790.8           8.1
Sagarin Overall                              792.2           8.1
Sagarin Golden Mean                          794.2           8.1
Pomeroy                                      797.4           8.1
Whitlock                                     811.2           8.3
Sagarin Predictor plus trend analysis        819.9           8.4
Sagarin Recent Games                         856.0           8.7
Seven Overtimes                              799.0           9.0     only 89 games
Colley                                       880.7           9.0
Real Time                                    810.0           9.0     only 90 games
Sagarin Eigenvector                          899.0           9.2
Dunkel                                       973.0           9.9

Being the most veteran of them all, Dunkel was really bad at this.  Note that some
prognosticators only work in integer margins, while others work in half-integers,
and some to higher precision than a tenth of a point, so differences of tenths of
a point are not necessarily significant.  But kudos to Ken Massey for coming out
on top, especially considering that he didn't win any individual round.  Ditto for
Dolphin.  Greenfield almost always mimics Vegas, and indeed Greenfield's predictions
can change with 24 hours of a game, whereas once I get the Vegas prediction from
Dunkel, it doesn't change, so the results may depend slightly on exactly when I
consult the relevant web pages.  The BPI has come a long way since it was first
introduced.  Sagarin's eigenvector analysis does not appear to be ready for prime
time.

Road Wins
---------
The long-term average is one road win in every three games, so in a 90-game conference season,
one should expect about 30 road wins, give or take a couple.  Once again, the law of averages
held up, with 32 road wins.  Kansas and Baylor tied for the differential.  Baylor was a better
road team than Kansas, while Kansas was a better home team than Baylor.

Road wins (32 out of 90)                     Home losses                                   RW-HL
-------------------------------------------- -------------------------------------------- -------
7 Baylor         ISU TCU WVU OU  KSU OSU UT  0 Kansas                                     +5 KU 
5 Kansas         OSU OU  KSU ISU WVU         0 Texas Tech                                 +5 BU
4 Texas          KSU TCU OU  WVU             2 Baylor         TTU OSU                     +3 TTU
3 Iowa State     OSU TCU KSU                 3 Oklahoma State KU  ISU BU                  +1 UT 
3 Kansas State   UT  TCU ISU                 3 Texas          KSU TTU BU                  -1 OSU
3 TCU            KSU ISU OU                  4 Oklahoma       KU  BU  TCU UT              -1 TCU
3 Texas Tech     BU  WVU UT                  4 TCU            BU  UT  KSU ISU             -2 ISU
2 Oklahoma       WVU KSU                     5 Iowa State     BU  TCU KU  KSU OSU         -2 OU           
2 Oklahoma State BU  ISU                     5 West Virginia  BU  OU  TTU KU  UT          -3 KSU
0 West Virginia                              6 Kansas State   UT  TCU KU  BU  ISU OU      -5 WVU

West Virginia was the only conference team to be overrated; everyone else was underrated, but
only by at most 1.1 points.  West Virginia was the most consistent team, but consistently
mediocre.

Performance (points)     Inconsistency (points)
---------------------    ----------------------
Texas Tech      +1.10    West Virginia     8.09
Baylor          +1.01    Kansas State      8.40
Kansas State    +0.88    Texas             8.47
Kansas          +0.78    Kansas            9.62
TCU             +0.77    Baylor           10.11
Iowa State      +0.63    TCU              10.40
Oklahoma State  +0.55    Texas Tech       10.49
Texas           +0.34    Oklahoma State   10.83
Oklahoma        +0.29    Oklahoma         11.13
West Virginia   -1.02    Iowa State       12.23

TCU came on strong at the end of the season, knocking off Kansas in Fort Worth, and nearly
taking down 1 seed Arizona in the Big Dance.  The Horned Frogs finished with the most positive
trend in the conference.

Trend (points per game)           Mental toughness
------------------------------    ------------------------------
TCU             +0.36 +/- 0.17    Iowa State      +0.19 +/- 0.18
Oklahoma State  +0.22 +/- 0.23    TCU             +0.14 +/- 0.18
Texas Tech      +0.14 +/- 0.16    Kansas State    +0.06 +/- 0.14
Kansas          +0.07 +/- 0.13    Oklahoma State  +0.02 +/- 0.23
Kansas State    +0.01 +/- 0.17    Texas Tech      -0.02 +/- 0.15
Oklahoma        -0.02 +/- 0.19    Oklahoma        -0.03 +/- 0.19
West Virginia   -0.10 +/- 0.15    Kansas          -0.14 +/- 0.23
Texas           -0.14 +/- 0.15    Texas           -0.18 +/- 0.12
Iowa State      -0.24 +/- 0.20    West Virginia   -0.21 +/- 0.15
Baylor          -0.29 +/- 0.17    Baylor          -0.23 +/- 0.16

Only West Virginia fell on the negative side of the ledger in scoring margin.

Average offense (pts)   Average defense (pts)   Total Points             Scoring Margin (pts)  
---------------------   ---------------------   ----------------------   ----------------------
Kansas          77.88   Texas Tech      61.08   Kansas          145.48   Baylor          +12.26
Baylor          76.68   Texas           61.12   Baylor          141.09   Texas Tech      +10.57
Texas Tech      71.65   Iowa State      63.06   West Virginia   137.42   Kansas          +10.28
Kansas State    68.74   Baylor          64.41   Kansas State    136.45   Texas            +7.21
Oklahoma        68.66   TCU             65.32   Oklahoma        134.09   Oklahoma         +3.23
Texas           68.32   Oklahoma        65.43   Oklahoma State  134.03   Iowa State       +2.03
West Virginia   68.09   Oklahoma State  66.07   TCU             133.38   TCU              +2.74
TCU             68.06   Kansas          67.60   Texas Tech      132.73   Oklahoma State   +1.90
Oklahoma State  67.97   Kansas State    67.71   Texas           129.44   Kansas State     +1.03
Iowa State      65.09   West Virginia   69.33   Iowa State      128.14   West Virginia    -1.24

All ten conference members finished in the Top 22 in strength of schedule.  The Big 12 was a
monster of a conference this season.

Schedule Strength
--------------------------
Kansas          81.91 ( 5)
Kansas State    81.49 ( 7)
West Virginia   81.48 ( 8)
TCU             81.46 ( 9)
Oklahoma State  81.32 (11)
Oklahoma        81.31 (13)
Iowa State      81.29 (14)
Baylor          81.02 (18)
Texas Tech      80.79 (21)
Texas           80.78 (22)

Home Court Advantage
--------------------
This one is actually a misnomer.  A better description would be "swap of venue",
which is a combination of "home court advantage" and "road court disadvantage".
There were 45 swaps of venue in the Big 12's balanced home-and-away series of
90 games.  In the table below, "1@H" means "Team 1 at home", and similarly "2@H"
means Team 2 at home.  "Diff." is then the differential between 1@H and 2@H, or
the effect of swapping the venue.  As you can see, the median value was 8 points,
though the average was slightly less at 6.98 points, with a standard deviation
of 14.23 points and a standard deviation of the mean of 2.12 points.  Because
everybody played everybody else both home and away, the situation is symmetric,
so for the conference schedule as a whole, the average home court advantage equals
the average road court disadvantage, thus we can conclude that the home court
advantage in the Big 12 this season was 3.49 points, give or take 1.06 points.
Note that the national average was 2.41 points, according to Sagarin Predictor,
so the home court advantage in the Big 12 was a little more than a point larger
than the national average.  If you consult the list of best prognosticators
above, you'll notice that "Sagarin Predictor plus home court tweak" did slightly
better than Sagarin Predictor.  That "home court tweak" was, in fact, 1 point.
I knew historically that the home court advantage in the Big 12 was a bit larger
than the national average, so I set the tweak to 1 point at the beginning of the
conference season to see how it would play out.  It actually worked out better
than I expected.

Team 1          Team 2          1@H  2@H  Diff.
--------------  --------------  ---  ---  -----
Texas Tech      Oklahoma        +24  -15   +39
Iowa State      Oklahoma        +21  -13   +34
Kansas          Baylor          +24  -10   +34
Oklahoma State  West Virginia   +23  -10   +33
Texas           Iowa State      +22   -9   +31
Texas Tech      Oklahoma State  +21   -1   +22
West Virginia   Iowa State      +16   -3   +19
Oklahoma State  Texas           +13   -5   +18
Texas Tech      TCU             +13   -3   +16
TCU             West Virginia   +10   -6   +16
Kansas State    Texas Tech      +11   -5   +16
Texas Tech      Iowa State      +12   -4   +16
Kansas          Kansas State    +19   +3   +16
Texas           West Virginia   +15   +1   +14
TCU             Kansas          +10   -4   +14
Kansas          West Virginia   +26  +13   +13
Oklahoma State  Oklahoma         +9   -4   +13
Texas           Oklahoma        +14   +2   +12
Texas Tech      Kansas           +8   -3   +11
Baylor          Texas           +17   +7   +10
Kansas          Texas            +7   -3   +10
Baylor          Kansas State    +25  +15   +10
Kansas State    West Virginia    +5   -3    +8  <-- median; mean  6.98 +/- 14.23 (2.12)
Texas Tech      Texas           +13   +6    +7
Texas Tech      Baylor          +10   +3    +7
Kansas State    Oklahoma State   +3   -3    +6
Texas Tech      West Virginia   +13   +7    +6
TCU             Oklahoma State   +4   -1    +5
Oklahoma        West Virginia   +13  +10    +3
Kansas          Oklahoma State  +14  +11    +3
Baylor          Iowa State       +7   +5    +2
Oklahoma        Kansas           -3   -2    -1
TCU             Baylor          -12  -10    -2
Oklahoma        Baylor          -14  -10    -4
West Virginia   Baylor           -9   -4    -5
Kansas State    Oklahoma         -7   -2    -5
Iowa State      Kansas State     -6   +1    -7
Iowa State      Kansas           -9   -1    -8
Oklahoma        TCU              -9   -1    -8
Baylor          Oklahoma State   -7   +2    -9
Texas           Kansas State     -1  +13   -14
TCU             Texas           -23   -9   -14
TCU             Kansas State    -12   +3   -15
Iowa State      TCU             -15   +3   -18
Iowa State      Oklahoma State  -17   +3   -20

Now for the individual teams, in order of strongest home court advantage.  Because
each team played nine conference opponents both home and away, to get the standard
deviation of the mean, simply divide the tabluated standard deviation by 3 (that is,
root 9), which can be used to gauge the significance of the home court advantage.
For example, the statistical significance of Texas Tech having a better home court
advantage than West Virginia is low, while the statistical signficance of Texas Tech
having a better home court advantage than TCU is high.  TCU actually played better
on the road than it did at home, amazingly.

Team 1          Team 2          1@H  2@H  Diff.
--------------  --------------  ---  ---  -----
Texas Tech      Oklahoma        +24  -15   +39
Texas Tech      Oklahoma State  +21   -1   +22
Texas Tech      Iowa State      +12   -4   +16
Texas Tech      Kansas State     +5  -11   +16
Texas Tech      TCU             +13   -3   +16  <-- median; mean 15.56 +/- 10.31
Texas Tech      Kansas           +8   -3   +11
Texas Tech      Baylor          +10   +3    +7
Texas Tech      Texas           +13   +6    +7
Texas Tech      West Virginia   +13   +7    +6

Team 1          Team 2          1@H  2@H  Diff.
--------------  --------------  ---  ---  -----
West Virginia   Oklahoma State  +10  -23   +33
West Virginia   Iowa State      +16   -3   +19
West Virginia   TCU              +6  -10   +16
West Virginia   Texas            -1  -15   +14
West Virginia   Kansas          -13  -26   +13  <-- median; mean 11.89 +/- 10.80
West Virginia   Kansas State     +3   -5    +8
West Virginia   Texas Tech       -7  -13    +6
West Virginia   Oklahoma        -10  -13    +3
West Virginia   Baylor           -9   -4    -5

Team 1          Team 2          1@H  2@H  Diff.
--------------  --------------  ---  ---  -----
Kansas          Baylor          +24  -10   +34
Kansas          Kansas State    +19   +3   +16
Kansas          TCU              +4  -10   +14
Kansas          West Virginia   +26  +13   +13
Kansas          Texas Tech       +3   -8   +11  <-- median; mean 10.22 +/- 11.89
Kansas          Texas            +7   -3   +10
Kansas          Oklahoma State  +14  +11    +3
Kansas          Oklahoma         +2   +3    -1
Kansas          Iowa State       +1   +9    -8

Team 1          Team 2          1@H  2@H  Diff.
--------------  --------------  ---  ---  -----
Oklahoma        Texas Tech      +15  -24   +39
Oklahoma        Iowa State      +13  -21   +34
Oklahoma        Oklahoma State   +4   -9   +13
Oklahoma        Texas            -2  -14   +12
Oklahoma        West Virginia   +13  +10    +3  <-- median; mean  9.22 +/- 17.10
Oklahoma        Kansas           -3   -2    -1
Oklahoma        Baylor          -14  -10    -4
Oklahoma        Kansas State     +2   +7    -5
Oklahoma        TCU              -9   -1    -8

Team 1          Team 2          1@H  2@H  Diff.
--------------  --------------  ---  ---  -----
Texas           Iowa State      +22   -9   +31
Texas           Oklahoma State   +5  -13   +18
Texas           West Virginia   +15   +1   +14
Texas           Oklahoma        +14   +2   +12
Texas           Baylor           -7  -17   +10  <-- median; mean  8.22 +/- 14.39
Texas           Kansas           +3   -7   +10  
Texas           Texas Tech       -6  -13    +7
Texas           Kansas State     -1  +13   -14
Texas           TCU              +9  +23   -14

Team 1          Team 2          1@H  2@H  Diff.
--------------  --------------  ---  ---  -----
Oklahoma State  West Virginia   +23  -10   +33
Oklahoma State  Texas Tech       +1  -21   +22
Oklahoma State  Texas           +13   -5   +18
Oklahoma State  Oklahoma         +9   -4   +13
Oklahoma State  Kansas State     +3   -3    +6  <-- median; mean  7.89 +/- 16.03
Oklahoma State  TCU              +1   -4    +5
Oklahoma State  Kansas          -11  -14    +3
Oklahoma State  Baylor           -2   +7    -9
Oklahoma State  Iowa State       -3  +17   -20

Team 1          Team 2          1@H  2@H  Diff.
--------------  --------------  ---  ---  -----
Iowa State      Oklahoma        +21  -13   +34
Iowa State      Texas            +9  -22   +31
Iowa State      West Virginia    +3  -16   +19
Iowa State      Texas Tech       +4  -12   +16
Iowa State      Baylor           -5   -7    +2  <-- median; mean  5.44 +/- 20.34
Iowa State      Kansas State     -6   +1    -7
Iowa State      Kansas           -9   -1    -8
Iowa State      TCU             -15   +3   -18
Iowa State      Oklahoma State  -17   +3   -20

Team 1          Team 2          1@H  2@H  Diff.
--------------  --------------  ---  ---  -----
Baylor          Kansas          +10  -24   +34
Baylor          Kansas State    +25  +15   +10
Baylor          Texas           +17   +7   +10
Baylor          Texas Tech       -3  -10    +7
Baylor          Iowa State       +7   +5    +2  <-- median; mean  4.77 +/- 12.89
Baylor          TCU             +10  +12    -2
Baylor          Oklahoma        +10  +14    -4
Baylor          West Virginia    +4   +9    -5
Baylor          Oklahoma State   -7   +2    -9

Team 1          Team 2          1@H  2@H  Diff.
--------------  --------------  ---  ---  -----
Kansas State    Kansas           -3  -19   +16
Kansas State    Texas Tech      +11   -5   +16
Kansas State    Baylor          -15  -25   +10
Kansas State    West Virginia    +5   -3    +8
Kansas State    Oklahoma State   +3   -3    +6  <-- median; mean  1.67 +/- 12.16
Kansas State    Oklahoma         -7   -2    -5
Kansas State    Iowa State       -1   +6    -7
Kansas State    Texas           -13   +1   -14
Kansas State    TCU              -3  +12   -15

Team 1          Team 2          1@H  2@H  Diff.
--------------  --------------  ---  ---  -----
TCU             Texas Tech       +3  -13   +16
TCU             West Virginia   +10   -6   +16
TCU             Kansas          +10   -4   +14
TCU             Oklahoma State   +4   -1    +5
TCU             Baylor          -12  -10    -2  <-- median; mean -0.67 +/- 13.88
TCU             Oklahoma         +1   +9    -8
TCU             Texas           -23   -9   -14
TCU             Kansas State    -12   +3   -15
TCU             Iowa State       -3  +15   -18

How the major conferences did in the Big Dance
----------------------------------------------
Big 10   (9 teams) record:   9-9
Big 12   (6 teams) record:  13-5
SEC      (6 teams) record:   5-6
Big East (6 teams) record:   7-6
ACC      (5 teams) record:  13-5
Pac 12   (3 teams) record:   4-3
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2 years 7 months ago #29191 by jaythawk1
Well done asteroid! Another find job all season long! Enjoyed all your posts...looking forward to them next season too!

Rock Chalk Jayhawk! Go KU!

Education Is the ability to listen to almost anything without losing your temper or your self-confidence~Robert Frost
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