1. Assume that we have a two-way balanced ANOVA model with factors A with a levels, B with b levels and n observations per factor level combination, satisfying the usual ANOVA assumptions. Show that the point estimator b b i = Σc;μ.;, where Sc; = 0 j=1 j=1 is unbiased. Also, compute its variance.

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1. Assume that we have a two-way balanced ANOVA model with factors A with a levels, B with b levels
and n observations per factor level combination, satisfying the usual ANOVA assumptions. Show that the
point estimator
b
b
i = Σcâ.j, where Sc; = 0
j=1
j=1
is unbiased. Also, compute its variance.
Transcribed Image Text:1. Assume that we have a two-way balanced ANOVA model with factors A with a levels, B with b levels and n observations per factor level combination, satisfying the usual ANOVA assumptions. Show that the point estimator b b i = Σcâ.j, where Sc; = 0 j=1 j=1 is unbiased. Also, compute its variance.
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