PLANNING EXPERIMENTS TO DETECT INADEQUATE REGRESSION MODELS
PLANNING EXPERIMENTS TO DETECT INADEQUATE REGRESSION MODELS
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DOI：
10.1093/biomet/59.2.275
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发表时间：
1972-01-01
期刊：
影响因子：
2.7
通讯作者：
ATKINSON, AC
中科院分区：
文献类型：
--
作者：
ATKINSON, AC
总结回归模型的适当性可以通过拟合扩展模型来测试，该扩展模型可以简化为特定参数值的给定模型。讨论了非线性回归推广模型的选择问题。两个实验设计标准进行了比较和设计开发，同时提供有关原始回归模型和假设，该模型是足够的信息。设计制表检测二阶偏离两个因素的模型和一个例子给出了一个非线性应用。
SUMMARYThe adequacy of a regression model can be tested by fitting an extended model which reduces to the given model for particular parameter values. The choice of the extended model for nonlinear regression is discussed. Two experimental design criteria are compared and designs are developed for simultaneously providing information about both the original regression model and the hypothesis that the model is adequate. Designs are tabulated for detecting second-order departures from twok-factor models and an example is given of a nonlinear application.