Show that in the special case where the sample correlation coefficient r = 0 and the prior

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Show that in the special case where the sample correlation coefficient r = 0 and the prior takes the special form p(p) ∝ (1 - p2)k/2 the variable

(k+n+ 1)p/(1  p) -

has a Student's t distribution on k + n + 1 degrees of freedom.

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