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Detecting Departure From Additivity Along a Fixed-Ratio Mixture Ray With a Piecewise Model for Dose and Interaction Thresholds
Journal of Agricultural, Biological and Environmental Statistics ( IF 1.4 ) Pub Date : 2010-12-01 , DOI: 10.1007/s13253-010-0030-x
Sharon D Yeatts 1 , Chris Gennings , Elizabeth D Wagner , Jane Ellen Simmons , Michael J Plewa
Affiliation  

For mixtures of many chemicals, a ray design based on a relevant, fixed mixing ratio is useful for detecting departure from additivity. Methods for detecting departure involve modeling the response as a function of total dose along the ray. For mixtures with many components, the interaction may be dose dependent. Therefore, we have developed the use of a three-segment model containing both a dose threshold and an interaction threshold. Prior to the dose threshold, the response is that of background; between the dose threshold and the interaction threshold, an additive relationship exists; the model allows for departure from additivity beyond the interaction threshold. With such a model, we can conduct a hypothesis test of additivity, as well as a test for a region of additivity. The methods are illustrated with cytotoxicity data that arise when Chinese hamster ovary cells are exposed to a mixture of nine haloacetic acids.

中文翻译:

使用剂量和相互作用阈值的分段模型检测沿固定比率混合射线的可加性偏离

对于多种化学品的混合物,基于相关固定混合比的射线设计对于检测与可加性的偏离非常有用。检测偏离的方法包括将响应建模为沿射线的总剂量的函数。对于含有多种成分的混合物,相互作用可能是剂量依赖性的。因此,我们开发了包含剂量阈值和相互作用阈值的三段模型的使用。在剂量阈值之前,响应是背景的响应;剂量阈值和相互作用阈值之间存在相加关系;该模型允许在交互阈值之外偏离可加性。有了这样的模型,我们可以进行可加性的假设检验,以及可加性区域的检验。
更新日期:2010-12-01
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