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).
