correlation across and within groups 2008 lpga & pga driving distance and accuracy
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Correlation Across and Within Groups
2008 LPGA & PGA Driving Distance and Accuracy
Data Description
• Subjects: 157 LPGA Golfers (Female) 197 PGA Golfers (Male)
• 1998 Season (Through November 16)
• Measures: Average Drive Distance (Yards) Drive Accuracy (Percent)
Histogram of Average Drive - PGA & LPGA
0
5
10
15
20
25
30
35
40
45
50
225 230 235 240 245 250 255 260 265 270 275 280 285 290 295 300 305 310 315 320
Average Drive
Fre
qu
en
cy
Evidence of 2 “Populations” of Golfers for Distance
Histogram of Average Drive - LPGA
0
5
10
15
20
25
30
35
40
225 230 235 240 245 250 255 260 265 270 275 280 285 290 295 300 305 310 315 320
Average Drive
Fre
qu
en
cy
Histogram of Average Drive - PGA
0
5
10
15
20
25
30
35
40
45
50
225 230 235 240 245 250 255 260 265 270 275 280 285 290 295 300 305 310 315 320
Average Drive
Fre
qu
en
cy
Histogram of Drive Accuracy - LPGA & PGA
0
10
20
30
40
50
60
70
80
47.5 50 52.5 55 57.5 60 62.5 65 67.5 70 72.5 75 77.5 80 82.5
Percent Accuracy
Fre
qu
en
cy
Less Evidence of Distinct “Populations” for Accuracy
Histogram of Drive Accuracy - LPGA
0
5
10
15
20
25
30
35
47.5 50 52.5 55 57.5 60 62.5 65 67.5 70 72.5 75 77.5 80 82.5
Percent Accuracy
Fre
qu
en
cy
Histogram of Drive Accuracy - PGA
0
5
10
15
20
25
30
35
40
47.5 50 52.5 55 57.5 60 62.5 65 67.5 70 72.5 75 77.5 80 82.5
Percent Accuracy
Fre
qu
en
cy
PGA/LPGA Distributions
• Average Drive All Golfers: =269.5 Females: F = 246.8 F =9.5
Males: M=287.6 M=8.6
• Drive Accuracy All Golfers: =65.2 Females: F = 67.6 F =5.8
Males: M=63.4 M=5.5
Combined PGA/LPGA 2008
45
50
55
60
65
70
75
80
85
200 225 250 275 300 325
Average Drive
Dri
vin
g A
cc
ura
cy
Moderate Negative Correlation: r = -0.52
LPGA 2008 - Driving Accuracy versus Distance
45
50
55
60
65
70
75
80
85
220 225 230 235 240 245 250 255 260 265 270 275
Average Drive
Driv
ing
Ac
cu
ra
cy
PGA 2008 - Driving Accuracy versus Distance
45
50
55
60
65
70
75
80
85
250 260 270 280 290 300 310 320
Distance
Ac
cu
ra
cy
rM = -0.61
rF = -0.42
Summary
• Average Drive is well described by Normal Distribution, but differs by Gender (M > F)
• Driving Accuracy is mound shaped, but fit to Normal appears weaker than Average Drive. It also differs by Gender, but less so (F > M)
• Across groups, there is a moderate negative correlation between Average Drive and Accuracy, when controlling by Gender, the Male association is stronger than Female.
• “Smoothed Normal Densities on next two slides.
Normal Distributions of Average Drive - LPGA/PGA
0
0.005
0.01
0.015
0.02
0.025
0.03
0.035
0.04
0.045
0.05
200 210 220 230 240 250 260 270 280 290 300 310 320
Distance
De
ns
ity
f(y)-Female
f(y)-Male
Normal Distributions of Drive Accuracy - LPGA/PGA
0
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
45 50 55 60 65 70 75 80 85
Accuracy Percent
De
ns
ity
f(y)-Female
f(y)-Male
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