. Suppose in a two-stage cluster sample that all population cluster sizes are equal ( Mi=M for all i ) and that all sample sizes for the clusters are equal ( mi=m for all i ). (a) Show that t̂unb =t̂r, and, hence, that ŷ̅̂unb =ŷ̅̂r. (b) Fill in the formulas for the sums of squares in the ANOVA table below, for the sample data. (c) Show that E[msw]=MSW and E[msb]=(m)/(m) MSB (1-(m)/(π)) MSW where MSB and MSW are the between and within mean squares, respectively, from the population ANOVA table gi

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What is a cluster in math example? - TimesMojo