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Extending design-optimality from an initial model to augmented models

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Abstract.

We consider an initial linear model E(Y)=B a and an augmented model E(Y)=B a+C b. We show that, if a design is optimal for estimating K a in the initial model, then there exists a matrix L such that this design is also optimal for estimating K a+L b in the augmented model.

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Authors and Affiliations

  1. Institute of Statistics, RWTH Aachen, D-52056 Aachen, Germany (e-mail: imhof@stochastik.rwth-aachen.de), , , , , , DE

    Lorens Imhof & Olaf Krafft

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  1. Lorens Imhof
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  2. Olaf Krafft
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Received: December 1998

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Imhof, L., Krafft, O. Extending design-optimality from an initial model to augmented models. Metrika 49, 19–26 (1999). https://doi.org/10.1007/s001840050022

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  • DOI: https://doi.org/10.1007/s001840050022

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