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Biometrika 1972 59(3):551-561; doi:10.1093/biomet/59.3.551
© 1972 by Biometrika Trust
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Some optimal designs for interpolation and extrapolation

AGNES M. HERZBERG and D. R. COX

Imperial College London

Designs are given for minimizing the effect of random error in interpolation or extrapolation. The case most intensively studied is that for first-degree polynomial models in k factors, although some results are given also for second-degree models. Emphasis is put on designs giving minimum variance at a particular point and satisfying additional requirements such as leading to good estimates of parameters.

Key Words: Optimal designs • Interpolation • Extrapolation • First-degree model • Quantitative factor • D-optimality


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