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

Do Static Weights Really Matter?

Bowl ExpoMonday, June 27, 2011

SR

- R

a

On

-La

ne

CO

F

SR

- R

S

Dry

La

ne

CO

F

Oil

Ab

sorp

tion

RG

To

tal D

iffe

ren

tial

Sp

in T

ime

Dia

me

ter

Sid

e W

eig

ht

Int.

-Diff

Oil

@ 3

2'

Ro

om

Hu

mid

ity

Oil

@ 8

'

To

p W

eig

ht

Ro

om

Te

mp

.

Th

um

b W

eig

ht

La

ne

Te

mp

.0

100

200

300

400

500

600

700

800

900

x-variable Influence on Overall Ball Motion

X- variables

Wei

ghte

d Po

ints

bas

ed o

n P-

Valu

e

From Ball Motion Study

Ball Path

0

5

10

15

20

25

30

35

40

0 5 10 15 20 25 30 35 40 45 50 55 60 65

Feet

Bo

ard

s

Skid

y = -mx + bHook

y = ax2 + bx + c

Roll

y = mx + b

Full Factorial Designs

# of runs = 2k

• 6 Factor Full Factorial• 26 = 64 runs

Fractional Factorial Designs

# of runs = 2k – n

• 6 Factor Half Fractional• 26 – 1 = 32 Runs

• 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

6 Factor – Half Fraction DOE 26 - 1

A center point was also ran.

6 Factor – Half Fraction DOE 26 - 1

From Ball Motion Study

Ball Path

0

5

10

15

20

25

30

35

40

0 5 10 15 20 25 30 35 40 45 50 55 60 65

Feet

Bo

ard

s

Skid

y = -mx + b Hook

y = ax2 + bx + c

Roll

y = mx + b

6 Factor, Half Fraction DOE

6 Factor, Half Fraction DOE

6 Factor, Half Fraction DOE

6 Factor, Half Fraction DOE

6 Factor, Half Fraction DOE

6 Factor, Half Fraction DOE

6 Factor, Half Fraction DOE

6 Factor, Half Fraction DOE

Our Understanding of Ball Motion

Side

Top/Bottom

Finger/Thumb

-5.875 5.875-3.75

3.75

3.75

-3.75

-1 -

3 3

1-1

1

Phase II – Response Surface Design

• Factorial Design

• Center point

• Axial Points

3 Factor Central Composite Design

Test Ball Data

3 Factor Central Composite DOE

0 10 20 30 40 50 600

5

10

15

20

25

30

35

40

f(x) = − 0.0155288615067752 x² + 1.62725345816014 x − 34.7536766914041R² = 0.99878208633875

f(x) = 0.0622499999999999 x + 4.84525R² = 0.958358451194064

f(x) = 0.0165370046620046 x² − 1.01190792540792 x + 21.1442403846153R² = 0.979386018123757

f(x) = − 0.446857142857143 x + 16.3912857142857R² = 0.996491842714458

Ball Motion

FEET

Boar

ds

0 10 20 30 40 50 600

5

10

15

20

25

30

35

40

f(x) = 0.522706714612398 x − 15.2116230016914R² = 0.999306081365045

f(x) = 0.0222023809523808 x² − 1.41934523809523 x + 26.8900595238094R² = 0.983032613052637

f(x) = − 0.474857142857143 x + 16.4491428571429R² = 0.996004210648723

Ball Motion

Feet

Boar

ds3 Factor Central Composite DOE

0 10 20 30 40 50 600

5

10

15

20

25

30

35

40

f(x) = − 0.00816951825918429 x² + 0.808199257830348 x − 13.9947475423809R² = 0.989587936589872

f(x) = 0.0474999999999999 x + 3.83250000000001R² = 0.93041237113402

f(x) = 0.00906994047619032 x² − 0.611547619047608 x + 15.5716741071427R² = 0.924087739790673

f(x) = − 0.388319672131148 x + 15.6756967213115R² = 0.992906746808845

Ball Motion

Feet

Boar

ds

3 Factor Central Composite DOE

Influence to Overall Ball Motion - Central Composite

Ball Path

0

5

10

15

20

25

30

35

40

0 5 10 15 20 25 30 35 40 45 50 55 60 65

Feet

Bo

ard

s

Skid

y = -mx + bHook

y = ax2 + bx + c

Roll

y = mx + b

Terms

ABC

AABBCCABACBC

Intended Path at 49’

XXX

Intended Path at 60’

XXXX

Average Path at 49’

XXXX

Ball Path

0

5

10

15

20

25

30

35

40

0 5 10 15 20 25 30 35 40 45 50 55 60 65

Feet

Bo

ard

s

Skid

y = -mx + bHook

y = ax2 + bx + c

Roll

y = mx + b

Terms

ABC

AABBCCABACBC

Vel Dec at 49’

XX

Δ in Angle to HP at 49’

XX

1st Transition

XX

X

Ball Path

0

5

10

15

20

25

30

35

40

0 5 10 15 20 25 30 35 40 45 50 55 60 65

Feet

Bo

ard

s

Skid

y = -mx + bHook

y = ax2 + bx + c

Roll

y = mx + b

Terms

ABC

AABBCCABACBC

2nd Transition Skid Slope

X

X

Roll Slope

XX

Ball Path

0

5

10

15

20

25

30

35

40

0 5 10 15 20 25 30 35 40 45 50 55 60 65

Feet

Bo

ard

s

Skid

y = -mx + bHook

y = ax2 + bx + c

Roll

y = mx + b

Terms

ABC

AABBCCABACBC

Total Angular Displacement

XXX

X

Hook Length A Score

XXX

Ball Path

0

5

10

15

20

25

30

35

40

0 5 10 15 20 25 30 35 40 45 50 55 60 65

Feet

Bo

ard

s

Skid

y = -mx + bHook

y = ax2 + bx + c

Roll

y = mx + b

Terms

ABC

AABBCCABACBC

Breakpoint

XX

1st Transition to BP

XX

X

2nd Transition to BP

“Center Point” AnalysisWithin the -1 oz to +1 oz box

“Center Point” Analysis

Average at 49’2.274

Average at 60’4.268

Intended at 60’4.06

Roll Slope0.1602

8.12 boards 8.536 boards 4.548 boards 0.3204 (1.6364°)

Coefficient

Influence

From -1 oz to 1 oz of Side Weight

“Center Point” Analysis

(60, 22.88)

(60, 14.94)

SR

- R

a

On

-La

ne

CO

F

SR

- R

S

Dry

La

ne

CO

F

Oil

Ab

sorp

tion

RG

To

tal D

iffe

ren

tial

Sp

in T

ime

Dia

me

ter

Sid

e W

eig

ht

Int.

-Diff

Oil

@ 3

2'

Ro

om

Hu

mid

ity

Oil

@ 8

'

To

p W

eig

ht

Ro

om

Te

mp

.

Th

um

b W

eig

ht

La

ne

Te

mp

.0

100

200

300

400

500

600

700

800

900

x-variable Influence on Overall Ball Motion

X- variables

Wei

ghte

d Po

ints

bas

ed o

n P-

Valu

e

Influence to Overall Ball Motion - Central Composite