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Given Z~N(0,1), Z^2 follows

χ_1^2 Chi-square Probability Distribution with one degree of freedom

Given Z_i~N(0,1), ∑_(i=1)^ν▒Z_i^2 follows

χ_ν^2 Chi-square Probability Distribution with ν degree of freedom

Given E_ij=n×p_ij=(r_i×c_j)/n, U=∑_(∀i,j)▒(O_ij-E_ij )^2/E_ij follows

χ_((r-1)(c-1))^2 Chi-square Probability Distribution with ν=(r-1)(c-1) degree of freedom

Given E_i=n×p_i, U=∑_(i=1)^m▒(O_i-E_j )^2/E_i follows

χ_(m-1)^2 Chi-square Probability Distribution with ν=m-1 degree of freedom

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