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Consider the following model for one-way layout Yij = li + ij, i 1, .., k, j = 1, . . ., Ni, where

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Consider the following model for one-way layout Yij = li + ij, i 1, .., k, j = 1, . . ., Ni, where Eij's are iid random variables from N(0, 0). Let i. = 1 Yij/n; and .. = 11 Yij/N, where N = n. Further ni =1 j=1 ni i=1 let SSreg = 11 (i. ..) and SSres = 1 1 (Yij Yi.). - i. Find the distribution of SSres/02. i=1 ii. Find the distribution of SSreg/02 under the assumption that = = iii. Find the distribution of SSreg/(k 1) SSres (N k) under the assumption that 1 = ... = k

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