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Optimal designs in random coefficient cubic regression models
Authors:A. Luoma  T. Nummi  Bikas K. Sinha
Affiliation:1. University of Tampere, Finland;2. Indian Statistical Institute, Calcutta, India
Abstract:In this article we investigate the problem of ascertaining A- and D-optimal designs in a cubic regression model with random coefficients. Our interest lies in estimation of all the parameters or in only those except the intercept term. Assuming the variance ratios to be known, we tabulate D-optimal designs for various combinations of the variance ratios. A-optimality does not pose any new problem in the random coefficients situation.
Keywords:Primary, 62K05   secondary, 62J02   62J10
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