I try to understand the mechanics of the variables that are obeying to chi-squared distributions.
To what distribution obey the square root of a chi-squared variable. For example,
$\sqrt{X}\sim \,?$
where $X\sim\chi^2$ with a degree of liberty $ = 1$.
Too, to what distribution is obeying
$X / 2 $
where $X \sim\chi^2$ with a degree of liberty $ = 2$.