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Correlation Across and Within Groups

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).

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Correlation Across and Within Groups

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  1. Correlation Across and Within Groups 2008 LPGA & PGA Driving Distance and Accuracy

  2. Data Description • Subjects: • 157 LPGA Golfers (Female) • 197 PGA Golfers (Male) • 1998 Season (Through November 16) • Measures: • Average Drive Distance (Yards) • Drive Accuracy (Percent)

  3. Evidence of 2 “Populations” of Golfers for Distance

  4. Less Evidence of Distinct “Populations” for Accuracy

  5. PGA/LPGA Distributions • Average Drive • All Golfers: m=269.5 s=22.2 • Females: mF = 246.8 sF =9.5 • Males: mM=287.6 sM=8.6 • Drive Accuracy • All Golfers: m=65.2 s=6.0 • Females: mF = 67.6 sF =5.8 • Males: mM=63.4 sM=5.5

  6. Moderate Negative Correlation: r = -0.52

  7. rF = -0.42 rM = -0.61

  8. 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.

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