Interpreting plots of a multidimensional dose-response surface in a parallel coordinate system
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C Gennings1, K S Dawson, W H Carter
1Department of Biostatistics, Medical College of Virginia/Virginia Commonwealth University, Richmond 23298-0032.
Abstract:
The dose-response surface for a combination of drugs is a multidimensional figure. Consequently, it is not possible to view such a surface using orthogonal axes when the number of dimensions exceeds 3. Parallel axes have been used to represent hyperdimensional figures. This paper reports on the use of parallel coordinate axes to plot the dose-response surface and its contours of constant response (isobols) for a combination of drugs. It is shown that patterns formed by intersecting line segments in the parallel system can aid in the interpretation of the fitted dose-response surface. More generally, analytic results are developed that permit the ready visualization and characterization of interaction effects of a polynomial model.