Question: Normal hypersphere model: Repeat the calculations of the previous exercise, replacing the spherical surface in 3-space by a p-dimensional spherical surface in R p+1 .

Normal hypersphere model: Repeat the calculations of the previous exercise, replacing the spherical surface in 3-space by a p-dimensional spherical surface in R p+1

. Show that the Bartlett adjustment reduces to b (θ) =

−(p−2)

4ρ

2 0

, which is negative for p ≥ 3. (McCullagh & Cox, 1986).

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