Doptimal designs for multinomial experiments
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If you have a question about this talk, please contact Mustapha Amrani.
Design and Analysis of Experiments
Consider a multinomial experiment where the value of a response variable falls in
one of k classes. The k classes are not assumed to have a hierarchical structure.
Let ij represent the probability that the ith experimental unit gives a response
that falls in the jth class. By modelling ln(ij=i1) as a linear function of the
values of m predictor variables, we may analyse the results of the experiment
using a Generalized Linear Model.
We describe the construction of Doptimal experimental designs for use in such
an experiment. Difficulties in obtaining these designs will be described, together
with attempts to overcome these obstacles.
This talk is part of the Isaac Newton Institute Seminar Series series.
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