Table 1.  Parameter values for selected curves of best fit to the athlete’s performance variables, kinematic variables, energy variables, and pole variables.  Data are fitted parameter value (± standard error).

Variable

Equation

Fit parameter

Value
   

symbol

units

  

Run-up velocity

y = a Exp[–b Exp(–cx)]

a

m/s

8.55 (.09)

b

–

1.14 (.06)

c

1/step

.32 (.02)

RMSD

m/s

.14

Peak height

y = mx + c

m

s

.540 (.017)

c

m

.21 (.12)

RMSD

m

.086

Grip height

y = ax2 + bx + c

a

s2/m

–.052 (.010)

b

s

1.04 (.13)

c

m

–.69 (.42)

RMSD

m

.053

Push height

y = ax2 + bx + c

a

s2/m

.045 (.011)

b

s

–.40 (.15)

c

m

.81 (.47)

RMSD

m

.058

Take-off velocity

y = ax2 + bx + c

a

s/m

–.070 (.035)

b

–

1.57 (.46)

c

m/s

–1.2 (1.5)

RMSD

m/s

.19

Take-off angle

y = mx + c

m

deg·s/m

–3.51 (.51)

c

deg

48.8 (3.6)

RMSD

deg

2.6

Energy at touchdown

y = x2/(2g) + htd

g

m/s2

9.674 (.057)

htd

m

1.011 (.016)

RMSD

m

.02

Energy at take-off

y = mx + c

m

s

.379 (.021)

c

m

.59 (.15)

RMSD

m

.11

Energy at max pole bend

y = a + Exp[1 + b(x – c)]

a

m

2.570 (.032)

b

s/m

1.80 (.53)

c

m/s

9.47 (.29)

RMSD

m

.07

Energy at peak of vault

y = mx + c

m

s

.579 (.029)

c

m

.32 (.21)

RMSD

m

.15

Energy lost in take-off

y = ax2 + bx + c

a

s2/m

–.054 (.022)

b

s

.41 (.29)

c

m

–.53 (.94)

RMSD

m

.12

Energy gain in pole support

y = mx + c

m

s

.200 (.024)

c

m

–.28 (.17)

RMSD

m

.12

Energy gain in vault

y = ax2 + bx + c

a

s2/m

–.031 (.029)

b

s

.30 (.99)

c

m

.17 (1.24)
   

RMSD

m

.15
Run-up velocity was plotted against run-up length (steps), all other variables were plotted against run-up velocity (m/s).
RMSD = root-mean-square deviation for the regression curve.