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Using the Canonical Design Space to Obtain c-optimal Designs for the Quadratic Logistic Model
Authors:Ellinor Fackle Fornius  Hans Nyquist
Institution:1. Department of Statistics , Stockholm University , Stockholm , Sweden ellinor.fackle-fornius@stat.su.se;3. Department of Statistics , Stockholm University , Stockholm , Sweden
Abstract:c-optimal designs for estimating the model parameters of the quadratic logistic regression model are considered. The designs are constructed via the canonical design space. It is shown that the number of design points varies between 1 and 4 depending on the parameter being estimated. Furthermore, formulae for finding the design points along with the corresponding design weights are derived.
Keywords:Binary data  c-optimality  Canonical design space  Elfving's theorem  Logit  Quadratic term
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