In single-factor ANOVA with I treatments and J observations per treatment, let . a. Express in terms

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In single-factor ANOVA with I treatments and J observations per treatment, let .

a. Express in terms of m. [Hint: ]

b. Determine . [Hint: For any rv Y,

.]

c. Determine .

d. Determine E(SSTr) and then show that

e. Using the result of part (d), what is E(MSTr) when H0 is true? When H0 is false, how does E(MSTr) compare to s2

?

E(MSTr) 5 s2 1 J

I 2 1 g

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