Exercise 5 1 Consider the ANOVA model yi j i ei j, i 1, ,t, j 1, ,N, with the ei js independent N(0, 2) Suppose it is desired to test the hypotheses i i for all i i Show that there is one number, called the LSD, so that the least significant difference rejects i i precisely when yi yi LSD

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Question: Exercise 5.1 Consider the ANOVA model yi j = +i+ei j, i = 1, . . . ,t, j = 1, . . .

Exercise 5.1 Consider the ANOVA model yi j = μ +αi+ei j, i = 1, . . . ,t, j = 1, . . . ,N, with the ei js independent N(0,σ 2). Suppose it is desired to test the hypotheses αi = αi for all i = i. Show that there is one number, called the LSD, so that the least significant difference rejects αi =αi precisely when

| ¯ yi·− ¯ yi·| > LSD.

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