How thick is a Tsuka?

Could you please elaborate on the thickness of a Tsuka, the handle of a traditional Japanese sword? I understand that the dimensions can vary depending on the style and intended use of the sword, but I'm curious about the average or standard measurement for the thickness of this crucial component. Additionally, are there any factors that would affect the desired thickness, such as the weight of the blade or the personal preference of the swordsman? Your insights would be greatly appreciated.