A THREE-PARAMETER LOGISTIC REGRESSION MODEL

A three-parameter logistic regression model

A three-parameter logistic regression model

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Dose–response experiments and data analyses are often carried out according to an optimal design under a model assumption.A two-parameter logistic model is often used because of its nice mathematical properties and plausible stochastic response mechanisms.There is an extensive literature on its optimal designs and data analysis strategies.However, a model is at best a good approximation in sawgrass virtuoso sg500 complete sublijet sublimation printer kit a real-world application, and researchers must be aware of the risk of model mis-specification.

In this paper, we investigate the effectiveness of the sequential ED-design, the D-optimal design, and the up-and-down design under the three-parameter logistic regression model, and we develop a numerical method for the parameter estimation.Simulations show that the combination of the proposed model and the data analysis strategy performs well.When the logistic model is correct, turbo air m3f24-1 this more complex model has hardly any efficiency loss.The three-parameter logistic model works better than the two-parameter logistic model in the presence of model mis-specification.

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