For the situation in Exercise 25, let msto represent the mean square total from the sample ANOVA

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For the situation in Exercise 25, let msto represent the mean square total from the sample ANOVA table.
a. Write msto as a function of msb and msw, and use the results of Exercise 25(c) to find E[msto].
b. Show that E[msto] ≈ S2 if n and N are large.
c. Show that

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is an unbiased estimator of S2.
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Sampling Design And Analysis

ISBN: 627

2nd Edition

Authors: Sharon L. Lohr

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