| ,Regression analysis based on the variable transformation(Ⅰ)——the approach of fitting the data with discontinuous points[J].SICHUAN MENTAL HEALTH,2019,32(3):193-196 |
| Regression analysis based on the variable transformation(Ⅰ)——the approach of fitting the data with discontinuous points |
DOI：10.11886/j.issn.1007-3256.2019.03.001 |
| English keywords:Knot Spline Variable transformation Curve fitting Regression analysis |
| Fund projects:国家高技术研究发展计划课题资助(2015AA020102) |
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| The paper introduced one good approach of fitting the data with discontinuous points. In order to improve the goodness of curve fitting, it was necessary that the knots should play a role when the following situations appeared, such as the data with definite discontinuous points and /or the data with several types of curvilinear trend in the whole interval of the independent variable.From two perspectives, the knots could be deal with the two approaches as follows. First, artificial setting various number of the knots and then fitting the piece - wise polynomial curve by using the spline transformation. Second, the first derivative, the second derivative,until the fourth derivative was computed on the objectively existent knots, based on the previous results, the curve regression model was structured. The conclusion proved that the fitted effect of the latter approach provided better fitting effect than the former. |
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