Abstract
This article presents and illustrates an approach to designing and analyzing studies involving mixtures/combinations of drugs or chemicals along fixed-ratio rays of the drugs or chemicals for generalized linear models. When interest can be restricted to a specific ray, we consider fixed-ratio ray designs to reduce the amount of experimental effort. When a ray design is used, we have shown that the hypothesis of additivity can be rejected when higher order polynomial terms are required in the total dose-response model. Thus, it is important that we have precise parameter estimates for these higher order polynomial terms in the linear predictor. We have developed methodology for finding a D s -optimal design based on this subset of the terms in the linear predictor.
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Meadows-Shropshire, S.L., Gennings, C., Carter, W.H. et al. Analysis of mixtures of drugs/chemicals along a fixed-ratio ray without single-chemical data to support an additivity model. JABES 9, 500 (2004). https://doi.org/10.1198/108571104X16312
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DOI: https://doi.org/10.1198/108571104X16312