Abstract
D- and D A -optimal designs are investigated for a model where the response is a mixture of zero and a lognormal random variable, and can be modelled using a logit model combined with a linear regression on the logarithm of the lognormal part. The D A -optimal design for estimating the logit model parameters is shown to coincide with the D-optimal design for the usual logit model. The D A -optimal design for estimating the linear model parameters is derived analytically. Among two-point designs, an analytic solution is given for the design that maximizes the D-optimality.
Published Version
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