Elemental location shift estimators in the constrained linear model

R. W. Farebrother · Communication in Statistics- Theory and Methods · 1988

In this paper we generalize Hawkins, Bradu and Kass's concept of “elemental predicted residuals” to models in which the augmented regressor matrix Xo = [X′ R′]' has full column rank where X is the regressor matrix and RB=r are a set of linear constraints on the parameters of the model. We will show that the two-way classification model takes this form and will identify Bradu and Hawkins's tetrads as elemental predicted residuals in this context.

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