Answer: In single-factor ANOVA with I treatments and J
Chapter 10, Problem 10.10(choose chapter or problem)
In single-factor ANOVA with I treatments and J observations per treatment, let (1/I)i . a. Express E(X) in terms of . [Hint: X(1/I)Xi ] b. Compute E(X2 i ). [Hint: For any rv Y, E(Y2 ) V(Y) [E(Y)]2 .] c. Compute E(X2 ). d. Compute E(SSTr) and then show that E(MSTr) 2 I J 1 (i )2 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 2 ? Sum of Mean
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