Suppose that Xij is a binomial variable with parameters n and pi (so approximately normal when npi $ 10 and nqi 10 Then since i npi, V(Xij) (2i npi(1 pi) i(1 i n) How should the Xij 's be transformed so as to stabilize the variance

Question: Suppose that Xij is a binomial variable with parameters n and pi (so approximately normal when npi $ 10 and nqi 10. Then since

Suppose that Xij is a binomial variable with parameters n and pi (so approximately normal when npi $ 10 and nqi ≥ 10. Then since µi = npi, V(Xij) = (2i = npi(1 - pi) = µi(1 - µi / n). How should the Xij's be transformed so as to stabilize the variance?

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