Optimal designs in random coefficient cubic regression models |
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Authors: | A Luoma T Nummi Bikas K Sinha |
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Institution: | 1. University of Tampere, Finland;2. Indian Statistical Institute, Calcutta, India |
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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. |
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Keywords: | Primary 62K05 secondary 62J02 62J10 |
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