Bump. I am stuck on this problem as well. To do this, I know I have to figure out Cov(Yij, Yi.) where Yi. is the mean of group i.
I am not quite sure how to find this covariance. Any suggestions?
Consider a one-way layout in which groups being compared are regarded as a sample from some larger population. is the number of subsamples taken from each . The random effects model is:
are random and independent of each other with and
are independent of , independent of each other and have and
Show that for this model:
and
MS is the sum of squares divided by degrees of freedom. W means within subsamples and B means between groups.