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2012 Oct 29
2
Two-way Random Effects with unbalanced data
Hi there, I am looking to fit a two-way random effects model to an *unblalanced* layout, y_ijk = mu + a_i + b_j + eps_ijk, i=1,...,R, j=1,...,C, k=1,...,K_ij. I am interested first of all in estimates for the variance components, sigsq_a, sigsq_b and sigsq_error. In the balanced case, there are simple (MM, MLE) estimates for these; In the unbalanced setup, this is much more complicated because orthogonality relations no longer exist between "row space" and "column space". Since the covariance structure between...