| ,Adaptive regression analysis(Ⅱ)——eliminating the disturbing of the noise variables[J].SICHUAN MENTAL HEALTH,2019,32(2):101-104,109 |
| Adaptive regression analysis(Ⅱ)——eliminating the disturbing of the noise variables |
DOI：10.11886/j.issn.1007-3256.2019.02.002 |
| English keywords:Adaptability Spline Regression analysis Basis function Noise variable Lack of fit Goodness of fit Importance |
| Fund projects:国家高技术研究发展计划课题资助(2015AA020102) |
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| This paper revealed the practical application value of the adaptive regression model through a data set with eight noise variables. Under the premise that the data set had a close quantitative relationship between two independent variables and the dependent variable, the influence of the noise variables on the adaptive regression model was close to zero. Under the preconditions that the data set had a close quantitative relationship between an independent variable and the dependent variable, the adaptive regression model was remarkably affected by the noise variables, and the results showed a certain degree of " distortion" . Under the premise that the data set did not have a close quantitative relationship between the independent variables and the dependent variable, the adaptive regression model was greatly affected by the noise variables, and the results of the analysis were completely unreliable. The conclusion was reached as follows: the adaptive regression analysis model was not universal, and the credibility of the results came from the approach mentioned above depended on whether the data set truly contained " the regularity of objective existence" . |
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