Table 2 Comparison of the experimentally fitted control gains \((\bar{p}, \bar{d})\) to \((\hat{p}, \hat{d})\) (H1) and to \((p^*,d^*)\) (H2) by means of Wilcoxon signed-rank test: rejection of H1 and H2 is indicated by h (\(h=0\) means that significant difference is not proven statistically, \(h=1\) means that there is statistical difference), p-value (\(v_p\)).

From: Response to perturbation during quiet standing resembles delayed state feedback optimized for performance and robustness

No.

H1:

\(\bar{p}\) vs. \(\hat{p}\)

H1:

\(\bar{d}\) vs. \(\hat{d}\)

H2:

\(\bar{p}\) vs. \(p^*\)

H2:

\(\bar{d}\) vs. \(d^*\)

h

\(v_p\)

h

\(v_p\)

h

\(v_p\)

h

\(v_p\)

1.

1

0.002

0

0.911

1

0.004

0

0.823

2.

0

0.881

0

0.765

1

0.005

0

0.126

3.

0

0.681

0

0.502

0

0.681

0

0.940

4.

0

0.062

0

0.911

1

0.030

0

0.073

5.

0

0.765

0

0.940

1

0.000

1

0.000

6.

1

0.011

0

0.940

0

0.086

1

0.000

7.

0

0.940

0

0.823

1

0.000

1

0.000

8.

0

0.093

0

0.654

0

0.263

0

0.108

9.

0

0.117

0

0.765

1

0.000

1

0.002

10.

0

0.062

0

0.156

1

0.001

0

0.627

all

0

0.391

0

0.852

1

0.003

1

0.030