Putting Accuracy Neal Hatch James Kuykendall 7/27/2006

Why is Putting Important? Approximately 70% of a round of golf is played within 100 yards of the green Par is the best score possible if a green is three putted The easiest way to lower a handicap is to improve putting “Drive for show, putt for dough” is an often used phrase to depict how important putting is to the game of golf

Is There a Significance? General Factor Interaction (Basically 2FI) Golfer Neal James Randall Jigg Grade Uphill Downhill Distance 6ft 12ft

Hypothesis Downhill putts are more difficult because speed cannot be used to force the ball to hold the line The further away from the hole the more difficult the putt Looking for interactions rather than generating a model for accuracy, hole out and lip out

Equipment / Materials Practice Putting Range (Auburn Links) 25’ Measuring Tape Medical Tape (Mark Distance) 3 Golf Clubs Jigg – Odyssey 2 Ball Neal – Odyssey 2 Ball Randall – Scotty Cameron James – Wilson

Experimental Method Putting Order Randomized Hole out was considered accuracy of zero Distance was measured from outside of hole to center of ball Design Expert software was used to show interaction

Procedure Following the randomized order, each putter attempts to the best of his ability to make the putt from varying distances and grade Accuracy (in), Lip out, and Hole out were recorded for each run

Assumptions All golfers will attempt to the best of their ability to make the putt rather than lag the ball close to the hole No effect of different clubs

Golfer - Neal Novice Never played a full game (18) Should stick to putt-putt

Golfer - James Absolutely terrible putter Is terrible at golf and should probably stop playing entirely

Golfer - Jigg Lifelong golfer Placed second in state senior year in high school By far best putter in group

Golfer - Randall Played golf for approximately seven years Excellent putter

Definition of Terms Outlier T – identify extraneous data Cook’s Distance – identify highly influential points ANOVA – Analysis of variables (variance) Box Cox – plot to help determine transformation

Determination of Significant Factors for the Group of Golfers

Strictly Interaction We will be focusing on strictly interactions between factors and the accuracy, hole out, and lip out No models were generated

ANOVA- Determination of Interaction of factors for Accuracy Response:Accuracy ANOVA for Selected Factorial Model Analysis of variance table [Partial sum of squares] Sum of MeanF SourceSquaresDFSquareValueProb > F Model Golfer very close Grade < significant Distance significant Golfer/Grade Golfer/Distance Distance/Grade ABC Pure Error Cor Total

Downhill putts at 6 and 12 feet for each golfer

Uphill 6 and 12 foot putts for each golfer

6 foot downhill and uphill putts for each golfer

12 foot downhill and uphill putts for each golfer

ANOVA-Determination of Interaction of factors for Hole out Response:Hole Out ANOVA for Selected Factorial Model Analysis of variance table [Partial sum of squares] Sum of MeanF SourceSquaresDFSquareValueProb > F Model Golfer significant Grade Distance Golfer/Grade significant Golfer/Distance Distance/Grade significant ABC Pure Error Cor Total

Comparison of number of hole outs

ANOVA- Determination of Interaction of factors for Lip out Response:Lip Out ANOVA for Selected Factorial Model Analysis of variance table [Partial sum of squares] Sum of MeanF SourceSquaresDFSquareValueProb > F Model Golfer Grade Distance Golfer/Grade Golfer/Distance Distance/Grade ABC Pure Error Cor Total

Lip outs cont. Golfer was determined to be a factor, although this is believed to stem from the fact that 2 golfers had 13 out of 15 lip outs Lip outs are thought to have no correlation from any of the factors we tested As Randall and Jigg were the better putters, there is a higher probability of their putts ending up near the hole

Analyzing Each Golfer James Neal Randall Jigg

Golfer - James

ANOVA - James Response: James' Accuracy ANOVA for Selected Factorial Model Analysis of variance table [Partial sum of squares] Sum of MeanF SourceSquaresDFSquareValueProb > F Model < significant Distance (A) Grade (B) < Distance and Grade (AB) Pure Error Cor Total Values of "Prob-F" less than 0.05 indicate model terms are significant

Time-Based Effects - James

Outlier T - James

Cook’s Distance - James

ANOVA - James Response: James' Hole Out ANOVA for Selected Factorial Model Analysis of variance table [Partial sum of squares] Sum of MeanF SourceSquaresDFSquareValueProb > F Model significant Distance (A) Grade (B) Distance and Grade (AB) Pure Error Cor Total Values of "Prob-F" less than 0.05 indicate model terms are significant

Significance Strong interaction of Grade and Distance on Accuracy for James Strong interaction of Grade and Distance on Hole Out for James No interaction of Grade and Distance on Lip Out for James

Golfer - Randall

ANOVA - Randall Response: Randall's Accuracy ANOVA for Selected Factorial Model Analysis of variance table [Partial sum of squares] Sum of MeanF SourceSquaresDFSquareValueProb > F Model significant Grade (B) Residual Lack of Fit not significant Pure Error Cor Total Values of "Prob-F" less than 0.05 indicate model terms are significant

Time-Based Effects - Randall

Outlier T - Randall

Cook’s Distance - Randall

ANOVA - Randall Response: Randall's Lip Out ANOVA for Selected Factorial Model Analysis of variance table [Partial sum of squares] Sum of MeanF SourceSquaresDFSquareValueProb > F Model significant Distance (A) Grade (B) Residual Lack of Fit not significant Pure Error Cor Total Values of "Prob-F" less than 0.05 indicate model terms are significant

Significance - Randall Strong interaction of Grade on Accuracy No interaction of Distance on Accuracy Slight interaction of Grade and Distance on Lip Out No significant interaction of Grade and Distance on Hole Out

Golfer - Jigg

Analysis - Jigg Percentage of Hole Outs 19/40 ~%50 accurate No statistical interaction of grade and distance on accuracy with high Hole Out percentage

Golfer - Neal

ANOVA – Accuracy Response: Neal's Accuracy ANOVA for Selected Factorial Model Log Transform Analysis of variance table [Partial sum of squares] Sum of MeanF SourceSquaresDFSquareValueProb > F Model not significant Distance (A) Grade (B) Grade and Distance (AB) Pure Error Cor Total Values of "Prob-F" less than 0.05 indicate model terms are significant

ANOVA - Hole Out Response: Neal's Hole Out ANOVA for Selected Factorial Model Analysis of variance table [Partial sum of squares] Sum of MeanF SourceSquaresDFSquareValueProb > F Model significant Distance (A) Grade (B) Distance and Grade (AB) Pure Error Cor Total Values of "Prob-F" less than 0.05 indicate model terms are significant

Significance Slight interaction of Distance / Grade (AB) on Accuracy Made high percentage of 12ft Downhill putts Strong interaction of Grade (B) and Distance / Grade (AB) but not Distance (A) on Hole Out No Lip Outs

Other Factors Effecting Putts Grass length Moisture Club type Grain – time of day

Questions / Comments?