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).