INTERPRETING PLOTS OF A MULTIDIMENSIONAL DOSE-RESPONSE SURFACE IN A PARALLEL COORDINATE SYSTEM

INTERPRETING PLOTS OF A MULTIDIMENSIONAL DOSE-RESPONSE SURFACE IN A PARALLEL COORDINATE SYSTEM
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DOI:
10.2307/2532091
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发表时间:
1990-09-01
期刊:
影响因子:
1.9
通讯作者:
MYERS, RH
MYERS, RH
中科院分区:
数学3区
文献类型:
--
作者:
GENNINGS, C;DAWSON, KS;MYERS, RH

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药物组合的剂量反应面是一个多维图形。因此,当维数超过 3 时,不可能使用正交轴查看这样的表面。平行轴已用于表示超维图形。本文报道了使用平行坐标轴来绘制药物组合的剂量反应曲面及其恒定响应轮廓(等值线)。结果表明,平行系统中相交线段形成的图案可以帮助解释拟合的剂量响应表面。更一般地,分析结果的开发允许多项式模型的交互效应的可视化和表征。
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 contour of constant response (isobols) for a combination of drugs. It is shown that pattern 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.