2. Putting Accuracy Neal Hatch James Kuykendall 7/27/2006

3. 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

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

5. 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

6. 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

7. 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

8. 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

9. 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

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

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

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

13. Golfer - Randall Played golf for approximately seven years Excellent putter

14. 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

15. Determination of Significant Factors for the Group of Golfers

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

17. 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 Model21502.3151433.4873.0584310.0003 Golfer3361.6531120.552.3907620.0712very close Grade8122.51 17.32985< 0.0001significant Distance3478.2251 7.4210050.0072significant Golfer/Grade2902.853967.61672.0644690.1076 Golfer/Distance2076.0253692.00831.4764420.2235 Distance/Grade24.0251 0.0512590.8212 ABC1537.0253512.34171.0931120.3541 Pure Error67492.8144468.7 Cor Total88995.1159

18. Downhill putts at 6 and 12 feet for each golfer

19. Uphill 6 and 12 foot putts for each golfer

20. 6 foot downhill and uphill putts for each golfer

21. 12 foot downhill and uphill putts for each golfer

24. 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 Model5.775150.3852.0533330.0154 Golfer2.22530.7416673.9555560.0096significant Grade0.11 0.5333330.4664 Distance0.2251 1.20.2752 Golfer/Grade1.5530.5166672.7555560.0447significant Golfer/Distance0.62530.2083331.1111110.3467 Distance/Grade0.91 4.80.0301significant ABC0.1530.050.2666670.8493 Pure Error271440.1875 Cor Total32.775159

25. Comparison of number of hole outs

26. 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 Model1.69375150.1129171.3663870.1716 Golfer0.8187530.2729173.3025210.0221 Grade0.056251 0.6806720.4107 Distance0.056251 0.6806720.4107 Golfer/Grade0.3687530.1229171.4873950.2205 Golfer/Distance0.1687530.056250.6806720.5652 Distance/Grade0.056251 0.6806720.4107 ABC0.1687530.056250.6806720.5652 Pure Error11.91440.082639 Cor Total13.59375159

27. 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

28. Analyzing Each Golfer James Neal Randall Jigg

29. Golfer - James

30. ANOVA - James Response: James' Accuracy ANOVA for Selected Factorial Model Analysis of variance table [Partial sum of squares] Sum of MeanF SourceSquaresDFSquareValueProb > F Model10605.339233535.11311.88796< 0.0001significant Distance (A)3532.9169613532.91711.880570.0015 Grade (B)6398.7380116398.73821.51782< 0.0001 Distance and Grade (AB)907.7906431907.79063.0527380.0896 Pure Error10110.555634297.3693 Cor Total20715.894737 Values of "Prob-F" less than 0.05 indicate model terms are significant

31. Time-Based Effects - James

32. Outlier T - James

33. Cook’s Distance - James

34. ANOVA - James Response: James' Hole Out ANOVA for Selected Factorial Model Analysis of variance table [Partial sum of squares] Sum of MeanF SourceSquaresDFSquareValueProb > F Model1.8421052630.6140358.3508770.0003significant Distance (A)0.5921052610.5921058.0526320.0076 Grade (B)0.5921052610.5921058.0526320.0076 Distance and Grade (AB)0.5921052610.5921058.0526320.0076 Pure Error2.5340.073529 Cor Total4.3421052637 Values of "Prob-F" less than 0.05 indicate model terms are significant

35. 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

36. Golfer - Randall

37. ANOVA - Randall Response: Randall's Accuracy ANOVA for Selected Factorial Model Analysis of variance table [Partial sum of squares] Sum of MeanF SourceSquaresDFSquareValueProb > F Model1102.4132311102.4134.7245460.0362significant Grade (B)1102.4132311102.4134.7245460.0362 Residual8633.4842137233.3374 Lack of Fit249.3842112124.69210.5205360.5987not significant Pure Error8384.135239.5457 Cor Total9735.8974438 Values of "Prob-F" less than 0.05 indicate model terms are significant

38. Time-Based Effects - Randall

39. Outlier T - Randall

40. Cook’s Distance - Randall

41. 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 Model0.7796257820.3898133.2656020.0497significant Distance (A)0.4000711210.4000713.3515390.0754 Grade (B)0.4000711210.4000713.3515390.0754 Residual4.2972973360.119369 Lack of Fit0.097297310.0972970.8108110.374not significant Pure Error4.2350.12 Cor Total5.0769230838 Values of "Prob-F" less than 0.05 indicate model terms are significant

42. 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

43. Golfer - Jigg

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

45. Golfer - Neal

46. 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 Model2.4166721330.8055572.1292080.1153not significant Distance (A)0.006863110.0068630.018140.8937 Grade (B)0.5168423210.5168421.3660910.2509 Grade and Distance (AB)1.9586619511.9586625.1770350.0295 Pure Error12.4851078330.378337 Cor Total14.9017836 Values of "Prob-F" less than 0.05 indicate model terms are significant

47. 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 Model1.9397147130.6465724.927050.0062significant Distance (A)0.2102087810.2102091.6018480.2145 Grade (B)1.2802724711.2802729.7560210.0037 Distance and Grade (AB)0.5796355310.5796364.4169790.0433 Pure Error4.33055556330.131229 Cor Total6.2702702736 Values of "Prob-F" less than 0.05 indicate model terms are significant

48. 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

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

50. Questions / Comments?