1. Do Static Weights Really Matter? Bowl Expo Monday, June 27, 2011

6. From Ball Motion Study Skid y = -mx + b Hook y = ax 2 + bx + c Roll y = mx + b

11. Full Factorial Designs # of runs = 2 k 6 Factor Full Factorial 2 6 = 64 runs Fractional Factorial Designs # of runs = 2 k – n 6 Factor Half Fractional 2 6 – 1 = 32 Runs

12. Sparsity of effects principle Higher order interactions are very rare Resolution 6 Main Effects confounded with 5-way 2-way confounded with 4-way, 3-way 3-way confounded with other 3-way Resolution and Confounding

13. 6 Factor – Half Fraction DOE 2 6 - 1 A center point was also ran.

14. 6 Factor – Half Fraction DOE 2 6 - 1

15. From Ball Motion Study Skid y = -mx + b Hook y = ax 2 + bx + c Roll y = mx + b

16. 6 Factor, Half Fraction DOE

27. Our Understanding of Ball Motion Side Top/Bottom Finger/Thumb -5.8755.875 -3.75 3.75 -3.75 -1 -3-33 1 -1 1

28. Phase II – Response Surface Design Factorial Design Factorial Design Center point Center point Axial Points Axial Points

29. 3 Factor Central Composite Design

30. Test Ball Data

31. 3 Factor Central Composite DOE

34. Influence to Overall Ball Motion - Central Composite

35. Skid y = -mx + b Hook y = ax 2 + bx + c Roll y = mx + b Terms A B C AA BB CC AB AC BC Intended Path at 49’ X X X Intended Path at 60’ X X X X Average Path at 49’ X X X X

36. Skid y = -mx + b Hook y = ax 2 + bx + c Roll y = mx + b Terms A B C AA BB CC AB AC BC Vel Dec at 49’ X X Δ in Angle to HP at 49’ X X 1st Transition X X X

37. Skid y = -mx + b Hook y = ax 2 + bx + c Roll y = mx + b Terms A B C AA BB CC AB AC BC 2nd Transition Skid Slope X X Roll Slope X X

38. Skid y = -mx + b Hook y = ax 2 + bx + c Roll y = mx + b Terms A B C AA BB CC AB AC BC Total Angular Displacement X X X X Hook Length A Score X X X

39. Skid y = -mx + b Hook y = ax 2 + bx + c Roll y = mx + b Terms A B C AA BB CC AB AC BC Breakpoint X X 1st Transition to BP X X X 2nd Transition to BP

41. “Center Point” Analysis Within the -1 oz to +1 oz box

42. “Center Point” Analysis Average at 49’ 2.274 Average at 60’ 4.268 Intended at 60’ 4.06 Roll Slope 0.1602 8.12 boards8.536 boards4.548 boards Coefficient Influence From -1 oz to 1 oz of Side Weight

43. “Center Point” Analysis (60, 22.88) (60, 14.94)

45. Influence to Overall Ball Motion - Central Composite