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Biometrika 1967 54(1-2):147-153; doi:10.1093/biomet/54.1-2.147
© 1967 by Biometrika Trust
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The use of prior distributions in the design of experiments for parameter estimation in non-linear situations

NORMAN R. DRAPER and WILLIAM G. HUNTER, JR.

University of Wisconsin

When prior information is available on the parameters of a non-linear model, it should influence the choice of the appropriate experimental design. We here investigate, for the single response case, how prior information on the parameters in the form of a multivariate normal distribution can be used in selecting designs for parameter estimation. An example illustrates how the precision of the prior knowledge can affect the positioning of the design points.


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