Unbalanced nested designs. Consider an unbalanced two-stage nested design with bj levels of B under the ith level of A and nij replicates in the ijth cell.
(a) Write down the least squares normal equations for this situation. Solve the normal equations.
(b) Construct the analysis of variance table for the unbalanced two-stage nested design.
(c) Analyze the following data, using the results in part (b).
