Showing posts with label Adjusted Efficiency. Show all posts
Showing posts with label Adjusted Efficiency. Show all posts

Tuesday, December 21, 2010

Mini-Preview: UNLV-Kansas State

[EDIT: After writing this, Jacob Pullen and Curtis Kelly were ruled ineligible fro Kansas State.  So, umm, never mind.  KSU is no longer a “good” offense, so UNLV should be fine.]

[This post is really just an excuse to use a spreadsheet I whipped up, which takes a year and a school as input, and automatically creates a chart like the one below.]

UNLV tips off against Kansas State in Kansas City a mere hour from now.  The Rebels started off the year with a bit of hype, and lived up to it at first, topping Pomeroy ratings #10 Wisconsin at home by 3, and blowing out some scrubs.  But they’ve stumbled over the last 10 days, following up a very understandable loss at #13 Louisville with a much less forgivable home loss to #100 UC Santa Barbara.  In truth, their problems started to show up 2 games previous to the Louisville loss, when they beat a poor Nevada (#202) team by only 12, but sometimes a W can have a lipstick-on-pig effect.

It’s clear that a 12-point win over #202 isn’t fantastic (Pomeroy had predicted UNLV by 18), but sometimes it’s hard to get a feel for exactly how good/bad a performance is.  We can use opponent ratings to shed some light on the issue by using Pomeroy’s efficiency prediction formula:

Predicted Offensive Efficiency = ([Team Adj Off] + HFA) * ([Opp Adj Def] + HFA) / [Lg Avg Eff]

For each game that a team has played, we can replace the predicted efficiency with the team’s actual raw efficiency in that game, plug in their opponent’s rating, the league average rating, and the appropriate home field advantage (+/- 1.4% for each team, in a normal H/A situation) , and solve for [Team Adj Off].  That gives us the team’s single game adjusted offensive efficiency rating – essentially, this is how efficient a team would have been if they played exactly the same, but were facing an average opponent on a neutral court.  We can do the same for defense, and from those two numbers we can calculate the efficiency margin (which I find more intuitive to use) or Pythagorean rating (which Pomeroy uses to rank teams).  As a last step, we can take the single game Pythagorean rating, pretend that’s how the team has played the whole year, and see where they would rank in the Pomeroy ratings.  That allows us to say, for example, UNLV played like the #232 team in their loss to UC Santa Barbara.  The chart below shows this “played like” rank for each of UNLV’s games so far. (It also shows, from left to right, the location, opponent, opponent ratings, raw game efficiencies, and adjusted game efficiency ratings.)

 image

You can see that UNLV played great through the first 7 games, and then has really struggled over the last 5.  They’re still rated #22 by Pomeroy, but taking a close look at the individual game adjusted ratings reveals something interesting.  Their overall defensive rating so far is 89.7, but that’s largely because of ridiculous defense in a few games against poor offensive teams.  Here are the teams they’ve managed to post a sub-90 defensive rating against so far, along with those teams’ offensive ratings (keep in mind, average is 100):

  • UC Riverside (90.6)
  • SE Louisiana (91.7)
  • Illinois State (97.1)
  • Southern Utah (90.9)

That’s it.  Their 30th ranked defensive rating comes in large part from really cranking the screws on the little guys.  If they want to compete in the Mountain West this year, that’s going to have to change.  And if they want to win their semi-road game tonight against Kansas State (offensive rating of 106.7), that’s going to have to change.  I’m not saying it definitely won’t, but I’d say KSU has a better chance than UNLV of bettering their Pomeroy prediction (KSU by 1) tonight.

Friday, December 10, 2010

How Much Are Turnovers Hurting Michigan State?

[NOTE: Almost the exact same article can be written for Baylor, except that Baylor hasn’t played any tough games, and as a result are undefeated.  But I wanted to choose just one team to refer to throughout.  So, Baylor fans, just Ctrl+H and replace “Michigan State”/”Tom Izzo” with “Baylor”/”Scott Drew”.]

A 6-3 record against a tough schedule certainly isn’t the end of the world, and as The Only Colors pointed out, the Spartans have had plenty of success in the postseason after slow November/December starts.  But Michigan State was ranked #2 in the preseason AP poll, and the team is clearly struggling more than expected.  Taking a look at their stats page on kenpom.com, what jumps out are the big red splotches on the left: they’re ranked 322nd nationally in Turnover%, 293rd in FT%, and 298th in Steal%.  But what are those marks costing Tom Izzo’s team?  Quite a lot of offense, it turns out.

TURNOVERS/STEALS

One way to gauge the effect of turnovers is to look at what happens when a team doesn’t turn the ball over.  To calculate a team’s offensive efficiency on possessions where they managed to hang on to the ball (TOAdjOff), I used a simple formula:

TOAdjOff = Adjusted Offensive Efficiency / (1 – Turnover%)

I then subtracted this from their actual adjusted offensive efficiency, to get what I’ll call turnover cost.  It tells us how much a team’s adjusted offensive efficiency would increase if they somehow never turned it over.  Here’s the top 20 in the country:

image

In case you’re wondering, that value of 150.6 for TOAdjOff is 3rd in the country, behind Duke and Georgetown.  When the Spartans don’t turn it over, they’re among the best of the best.

Of course, a turnoverless team is a pipe dream; a more reasonable goal for the Spartans is to try to improve their TO% from abysmal to merely average.  This seems doable – the average MSU TO% over the last 8 years has been 21.4%, which is right in line with this year’s national average of 21.2%.  Using the same concept as above, but adjusting TO% to 21.2% instead of 0%, Michigan State ends up with an offensive efficiency of 118.7 (a gain of 6.5 over their current 112.2).  That would bump their offensive rank from 26th to 4th, and their Pomeroy ranking from 14th to 5th.  Couple that with what I can only assume would be a dip in opponent transition points, and they could rise even higher.

FREE THROWS

Michigan State is nearly as poor at free throw shooting as they are at preventing turnovers, but it’s not nearly as important because: A) a missed free throw only costs 1 point, while a wasted possession costs, as we saw above, 1.5 points; and B) there tends to be far fewer free throw attempts than possessions.

The Spartans have a 63.4 FT% so far, compared to a national average of 68.1%.  Over their 202 FTA, that amounts to a difference of 9.6 total points.  Working back from their number of possessions, that works out to 1.5 points per 100 possessions.

ALL TOGETHER NOW

If you add those 1.5 points onto the 6.5 gained from reducing turnovers, Michigan State’s offensive efficiency would rise to 120.2.  However, because the gap between the top 4 teams (Duke, Kansas, Ohio State, and Pittsburgh) and the rest of the field is so large, their overall ranking wouldn’t change.  Still, if Tom Izzo can tighten up (see also: tighten up) his leaky boat, he’ll have a good chance of floating down to Houston, come April.

Tuesday, April 6, 2010

The Journey Counts

There are articles every year – some by me – that look at qualities that have defined past Final Four teams, champions, upset victims, etc.  These usually use end-of-year stats, because that’s what’s readily available for past teams.  But we obviously don’t have access to end-of-year stats when the tourney begins.  So I thought I’d take a look at how well pre-tourney efficiency numbers match up with the final values, to see how much a team’s performance in the postseason can change our historical perception of them.  I’ll be using Pomeroy’s data from the day after Selection Sunday – after the conference tournaments, but before the NCAA/NIT/CBI/CIT/WTF/ETC.

First, the Final Four teams. Remember, for the changes in defense and rank, negative is good:

image

Butler’s defense went from very good to elite over the course of 6 games, and I don’t think you’ll find anyone that would argue that the ratings bump wasn’t deserved – and obvious.  What might not have been so obvious was that Duke’s offense switched to a higher gear during the tournament, with their offensive efficiency improving almost as much as Butler’s D.  Michigan State’s offense improved, and their defense declined, and the result was a slightly more balanced team.  West Virginia was basically the opposite of Michigan State.

Now let’s look at aggregate stats for all the NCAA tournament teams (the only ones we really care about):

image

The average magnitude of change for both offensive and defensive efficiency is about 2/3 of a point, and about 5 ranking spots.  And some teams improved or declined by up to 35 spots in the rankings.  So be careful eliminating someone from your list of contenders just because they’re ranked 15th in something instead of 5th.

Finally, for reference, here are the changes for all teams in the tourney (hope this formats well):

CHANGES IN EFFICIENCY DURING NCAA TOURNAMENT

 

BEFORE

AFTER

CHANGE

Team

Off

Rnk

Def

Rnk

Pyth

Rnk

Off

Rnk

Def

Rnk

Pyth

Rnk

Off

Rnk

Def

Rnk

Pyth

Rnk

Duke

121.5

1

85.9

4

0.982

1

123.5

1

85.9

4

0.985

1

2.0

0

0.0

0

0.003

0

Kansas

121.4

2

86.1

5

0.981

2

121.5

2

87.1

8

0.979

2

0.1

0

1.0

3

-0.002

0

Kentucky

115.5

18

87.7

10

0.960

6

116.1

15

86.3

6

0.968

3

0.6

-3

-1.3

-4

0.008

-3

Syracuse

117.9

9

89.1

20

0.962

5

118.0

8

89.0

18

0.963

4

0.2

-1

-0.1

-2

0.001

-1

Ohio St.

119.0

7

89.8

22

0.962

4

118.6

7

90.2

24

0.959

5

-0.3

0

0.4

2

-0.003

1

Baylor

119.6

5

92.7

52

0.949

12

120.4

3

91.7

34

0.958

6

0.9

-2

-1.0

-18

0.009

-6

Kansas St.

115.8

16

88.9

19

0.955

9

116.6

13

88.9

17

0.957

7

0.8

-3

0.1

-2

0.003

-2

West Virginia

117.5

11

90.0

24

0.955

8

117.0

11

89.4

22

0.957

8

-0.4

0

-0.6

-2

0.001

0

Wisconsin

116.5

13

87.3

7

0.965

3

115.6

17

89.1

19

0.952

9

-0.8

4

1.8

12

-0.012

6

Brigham Young

117.4

12

89.6

21

0.957

7

117.1

10

90.7

27

0.950

10

-0.3

-2

1.1

6

-0.008

3

Maryland

119.1

6

91.7

40

0.953

10

119.3

5

92.7

50

0.947

11

0.2

-1

1.0

10

-0.005

1

Butler

109.6

55

88.4

15

0.922

26

110.2

50

86.2

5

0.944

12

0.6

-5

-2.3

-10

0.023

-14

Georgetown

117.6

10

90.9

33

0.951

11

117.4

9

92.6

47

0.938

13

-0.2

-1

1.8

14

-0.012

2

Xavier

115.8

15

92.7

50

0.928

22

116.3

14

92.0

39

0.937

14

0.5

-1

-0.7

-11

0.009

-8

California

121.0

3

95.6

81

0.938

14

120.1

4

95.1

73

0.936

15

-0.9

1

-0.5

-8

-0.002

1

Purdue

109.8

49

86.4

6

0.940

13

108.3

70

85.8

3

0.936

16

-1.5

21

-0.6

-3

-0.004

3

Texas A&M

111.9

39

89.9

23

0.925

23

111.9

38

88.8

14

0.935

17

0.0

-1

-1.1

-9

0.010

-6

Texas

113.4

26

90.2

26

0.933

17

113.5

25

90.2

25

0.933

18

0.1

-1

0.0

-1

0.000

1

Missouri

109.8

50

87.8

12

0.928

21

111.3

43

88.8

13

0.931

19

1.5

-7

1.0

1

0.002

-2

Clemson

110.4

47

87.7

9

0.934

16

110.9

44

88.9

15

0.928

20

0.6

-3

1.2

6

-0.006

4

Villanova

118.7

8

93.9

62

0.937

15

116.6

12

94.0

62

0.923

21

-2.1

4

0.2

0

-0.014

6

Temple

107.5

77

85.7

3

0.931

18

107.8

75

87.0

7

0.922

22

0.3

-2

1.3

4

-0.009

4

Michigan St.

112.0

38

90.3

27

0.923

24

112.9

28

91.1

30

0.922

23

0.9

-10

0.8

3

-0.001

-1

Florida St.

105.2

119

83.9

1

0.931

19

104.6

130

84.5

1

0.921

24

-0.5

11

0.6

0

-0.010

5

Utah St.

116.4

14

93.0

54

0.930

20

115.6

18

93.7

58

0.918

25

-0.9

4

0.7

4

-0.012

5

Georgia Tech

109.5

57

88.7

17

0.919

27

109.1

62

88.6

12

0.917

27

-0.4

5

-0.1

-5

-0.002

0

Tennessee

106.2

99

87.3

8

0.904

35

108.9

64

88.5

11

0.916

28

2.8

-35

1.1

3

0.012

-7

Northern Iowa

107.3

81

87.9

13

0.909

32

109.3

61

88.9

16

0.915

29

1.9

-20

1.0

3

0.006

-3

Washington

112.6

32

91.5

38

0.916

29

112.2

36

91.3

31

0.915

30

-0.4

4

-0.2

-7

-0.001

1

Pittsburgh

111.7

41

90.9

34

0.915

30

111.5

40

90.7

26

0.915

31

-0.2

-1

-0.2

-8

0.000

1

Minnesota

114.1

23

92.1

43

0.922

25

112.9

29

92.1

40

0.912

32

-1.2

6

0.0

-3

-0.010

7

Marquette

114.3

22

92.6

48

0.919

28

114.6

22

93.6

57

0.911

33

0.3

0

1.0

9

-0.008

5

Old Dominion

107.9

72

88.5

16

0.907

33

107.5

82

88.4

10

0.904

34

-0.4

10

-0.1

-6

-0.003

1

Vanderbilt

114.0

25

94.1

64

0.901

36

113.7

24

93.8

60

0.901

35

-0.3

-1

-0.3

-4

0.000

-1

Texas El Paso

107.5

78

88.3

14

0.905

34

107.1

88

89.3

21

0.891

37

-0.4

10

1.0

7

-0.015

3

Notre Dame

119.8

4

99.3

140

0.897

38

118.8

6

99.1

132

0.890

38

-1.0

2

-0.2

-8

-0.007

0

Nevada Las Vegas

109.5

58

90.7

29

0.897

37

110.0

51

91.9

38

0.887

39

0.5

-7

1.2

9

-0.010

2

Oklahoma St.

112.2

37

94.0

63

0.885

44

112.7

31

94.2

63

0.887

40

0.5

-6

0.2

0

0.003

-4

San Diego St.

111.0

43

92.1

42

0.895

40

110.5

48

92.6

45

0.885

41

-0.4

5

0.5

3

-0.010

1

St. Mary's

114.9

19

95.7

82

0.891

43

114.9

20

96.3

88

0.884

42

-0.1

1

0.6

6

-0.008

-1

Louisville

114.9

20

95.3

77

0.896

39

113.8

23

95.4

79

0.884

43

-1.1

3

0.1

2

-0.012

4

Florida

112.3

34

94.9

70

0.874

49

112.6

32

94.9

67

0.877

45

0.3

-2

0.0

-3

0.004

-4

Richmond

108.4

67

91.2

36

0.879

48

108.8

67

91.9

37

0.875

48

0.5

0

0.7

1

-0.005

0

Murray St.

108.3

68

92.3

45

0.863

57

108.2

71

91.7

35

0.870

50

-0.1

3

-0.5

-10

0.007

-7

Cornell

113.3

28

99.2

139

0.822

66

115.9

16

98.5

117

0.867

52

2.6

-12

-0.7

-22

0.045

-14

New Mexico

114.3

21

96.0

87

0.882

47

113.1

27

96.4

90

0.863

54

-1.2

6

0.4

3

-0.019

7

Gonzaga

110.8

44

94.4

67

0.864

56

110.6

47

94.7

66

0.856

57

-0.2

3

0.4

-1

-0.008

1

Wake Forest

106.6

96

90.2

25

0.873

50

106.5

96

91.4

32

0.852

58

-0.1

0

1.3

7

-0.021

8

Siena

108.4

66

93.6

59

0.844

58

107.7

77

93.2

54

0.841

59

-0.7

11

-0.4

-5

-0.003

1

Wofford

102.8

149

93.1

56

0.756

87

102.9

148

92.2

41

0.779

79

0.1

-1

-0.9

-15

0.023

-8

Houston

111.7

40

101.0

165

0.762

85

111.5

41

101.3

174

0.750

89

-0.2

1

0.3

9

-0.012

4

Ohio

105.9

105

97.8

109

0.716

100

107.6

78

98.1

111

0.745

93

1.7

-27

0.3

2

0.029

-7

Sam Houston St.

109.6

56

101.6

178

0.706

102

108.5

68

100.2

154

0.715

101

-1.1

12

-1.4

-24

0.009

-1

Montana

105.7

110

98.4

121

0.696

105

105.2

119

98.2

114

0.686

107

-0.6

9

-0.2

-7

-0.010

2

New Mexico St.

110.5

46

104.1

222

0.665

115

110.6

46

104.1

224

0.669

113

0.1

0

-0.1

2

0.004

-2

Vermont

103.6

140

99.1

135

0.624

129

103.4

141

99.1

135

0.619

132

-0.2

1

0.0

0

-0.006

3

East Tennessee St.

99.0

196

96.1

88

0.583

142

99.4

195

96.5

93

0.583

142

0.4

-1

0.4

5

0.000

0

Oakland

106.2

98

103.1

212

0.584

141

105.5

110

103.1

214

0.567

146

-0.7

12

0.0

2

-0.017

5

UC Santa Barbara

98.6

209

96.9

99

0.551

152

98.2

219

96.7

95

0.544

154

-0.5

10

-0.2

-4

-0.007

2

Morgan St.

104.0

136

102.0

190

0.556

149

103.0

147

101.8

184

0.536

158

-1.0

11

-0.2

-6

-0.021

9

North Texas

102.0

157

101.7

180

0.509

169

102.2

159

101.9

187

0.509

168

0.3

2

0.3

7

0.000

-1

Lehigh

104.2

133

105.1

242

0.474

180

104.9

125

104.8

236

0.503

171

0.8

-8

-0.3

-6

0.029

-9

Robert Morris

98.9

200

100.3

154

0.458

188

98.8

204

99.2

140

0.488

176

-0.1

4

-1.1

-14

0.030

-12

Arkansas Pine Bluff

90.4

307

97.9

111

0.286

238

91.2

302

97.0

97

0.330

222

0.8

-5

-0.9

-14

0.044

-16

Winthrop

90.2

309

94.2

65

0.375

212

89.5

316

95.7

80

0.316

229

-0.7

7

1.4

15

-0.059

17