$\rho$

$\epsilon ~N\left(0,{0.5}^2\right)$

$\epsilon ~U\left[-\frac{\sqrt{3}}{2},\frac{\sqrt{3}}{2}\right]$

$\epsilon ~\frac{1}{8}{\chi }^2\left(8\right)-1$

−0.9

Rook

0.0023

0.0022

0.0021

Queen

0.0023

0.0022

0.0021

−0.5

Rook

0.0023

0.0022

0.0021

Queen

0.0023

0.0022

0.0021

−0.1

Rook

0.0024

0.0022

0.0022

Queen

0.0024

0.0022

0.0022

0

Rook

0.0023

0.0022

0.0022

Queen

0.0023

0.0022

0.0022

0.1

Rook

0.0022

0.0023

0.0022

Queen

0.0022

0.0023

0.0022

0.5

Rook

0.0022

0.0023

0.0023

Queen

0.0022

0.0023

0.0023

0.9

Rook

0.0022

0.0023

0.0022

Queen

0.0022

0.0023

0.0022