Let Xi1, ..., Xini , i = 1, 2, be independently distributed as the beta distributions with p.d.f.'s θixθi-1I(0,1)(x), i = 1, 2, respectively. For testing H0; θ1 = θ2 versus H1; θ1 ≠ θ2, find the forms of the LR test, Wald's test, and Rao's score test.