An ANOVA variance-stabilizing transformation stabilizes variances in the following approximate way. Let Y have mean and

An ANOVA variance-stabilizing transformation stabilizes variances in the following approximate way. Let Y have mean θ and variance v(θ).
(a) Use arguments as in Section 10.1.3 to show that a one-term Taylor series approximation of the variance of g(y) is given by Var (p(Y)) = [d/dθg(θ)]2v(θ).
(b) Show that the approximate variance of g*(Y) is independent of θ, where g* (y) = ∫[1/√v(y)]dy.