The use of marginal likelihood for a diagnostic test for the goodness of fit of the simple linear regression model
The use of marginal likelihood for a diagnostic test for the goodness of fit of the simple linear regression model
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使用边际似然对简单线性回归模型的拟合优度进行诊断测试
DOI：
10.2307/1269887
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发表时间：
1987
期刊：
影响因子：
2.5
通讯作者：
M. Yanagimoto
中科院分区：
文献类型：
--
作者：
T. Yanagimoto;M. Yanagimoto
本文提出了一种新的检验方法，在假设备选回归曲线光滑的前提下，应用边际似然法对简单回归模型的拟合优度进行了检验。没有假定替代回归函数的具体形式。所提出的测试程序的一个优点是它同时提供了估计回归曲线(样条线)。一些现有的诊断程序是与建议的程序相关的。该程序被应用于两种面粉，玉米淀粉和酪蛋白(大豆)混合物的光度分析数据。
A novel test procedure is proposed to diagnose the goodness of fit of a simple regression model by applying a marginal likelihood under the assumption of smoothness of the alternative regression curve. No specific form for the alternative regression function is assumed. An advantage of the proposed test procedure is that it simultaneously provides an estimated regression curve (spline). Some existing diagnostic procedures are explored in relation to the one proposed. The procedure is applied to data of a spectrophotometric analysis of mixtures of two types of flour, cornstarch and casein (soybean).