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  • 學位論文

脊迴歸分析之應用程式

Some Useful Algorithms for Ridge Regression Analysis

指導教授 : 王國徵

摘要


在迴歸模型的應用上,迴歸不適用的模型中,有部份因素來自於其共線性,共線性主要產生的原因有二: (1)來自於相似變數之間所產生的共線性 (2)一種是來自於複多項式模型假設所產生的共線性。 本篇論文針對複多項式模型所產生的共線性提供標準步驟及sas程式來解決此問題。

關鍵字

脊迴歸

並列摘要


In analyzing the regression model, the inadequate of model are sometimes due to the multi-collinearity among the independent variables. There are two major cases of this kind, one is the use of some similarity variables another one is fitting the multi-polynomial model. This thesis is concern of the case of using multi-polynomial model. We will provide some useful algorithms to establish a standard procedure in applying the ridge regression to analyze this kind of unacceptable result.

並列關鍵字

ridge regression

參考文獻


Hoerl & Kennard[1970a] “Ridge regression: Biased estimation for non-orthogonal roblems”,Technometrics,12,55-6
Kunugi, T., T. Tamura, and T. Naito [1961], “New acetylene process uses hydrogen dilution,” Chem. Eng. Prog., 57, 43-49

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