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It is the ratio of a standard normal variate to the square root of an independent chi square variate divided by its degrees of freedom. If ξ is a N(0,1) and χ2 is an independent chi- square variate with n degrees of freedom, then Fisher's t is given by

distribution of fishers

12.2.4 Constants of t – distribution

Since f(t) is symmetrical about the line t = 0 all the moments of odd about origin vanish, that is

constants of t distribution

constants of t distribution

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