Abstract
In this paper, we use the existing second order rotatable design to for a basis for selecting optimum design based on the known classical optimality criteria. We estimate the particular values of the moments used for the existing design and determine the information matrix. The exact values of the particular cases in the family of matrix means, Φ p , with p ∈ (-∞1) are obtained which are integral in discriminating design optimality. Keywords :Optimality criteria, Rotatability, Information matrix, Determinant criterion, Average- variance criterion, Eigen-value criterion, and Trace criterion > East African Journal of Statistics Vol. 1 (2) 2006: pp. 123-129
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